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Centre International de Rencontres Mathématiques

Conditioned Exit Measures of Non-Local Branching Processes

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Explore conditioned exit measures of non-local branching processes in this mathematical conference talk by Emma Horton at CIRM.
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1 Lesons
31 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Dimension-Free Sobolev-Type Embeddings in the Gauss Space

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Explore dimension-free Sobolev-type embeddings in Gauss space, extending Gross' logarithmic Sobolev inequality and examining Orlicz spaces, higher-order derivatives, and Gaussian isoperimetric inequality.
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1 Lesons
51 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lecture 5

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Explore the control of Lyapunov exponents using entropy in smooth surface diffeomorphisms. Gain insights into recent research on expansion of smooth unstable curves and their relation to homoclinic tangencies.
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1 Lesons
59 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lecture 7

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Explore the control of Lyapunov exponents using entropy in smooth surface diffeomorphisms. Gain insights into recent research on expansion of smooth unstable curves and their relation to homoclinic tangencies.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Typical Properties of Lebesgue Measure-Preserving Circle Maps

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Explore recent findings on typical dynamical properties of Lebesgue measure-preserving maps, focusing on circle cases. Gain insights into collaborative research on one-dimensional manifolds.
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1 Lesons
50 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lectures 3 and 4

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Delve into the continuity properties of Lyapunov exponents in smooth surface diffeomorphisms, exploring entropy control and the impact of near homoclinic tangencies on unstable curve expansion.
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1 Lesons
1 hour 39 minutes
On-Demand
Free-Video
The Bright Side of Mathematics

Measure Theory

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Comprehensive exploration of measure theory, covering sigma algebras, Lebesgue measures, integrals, convergence theorems, and advanced concepts like product measures and Fubini's theorem.
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23 Lesons
5 hours
On-Demand
Free-Video
Friedrich–Alexander University Erlangen–Nürnberg

Quantum Theory

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Comprehensive exploration of quantum mechanics, covering axioms, mathematical foundations, operators, spectra, and applications like spin and harmonic oscillators. Ideal for advanced physics students.
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21 Lesons
1 day 15 hours
On-Demand
Free-Video
The Bright Side of Mathematics

Maßtheorie und Integrationstheorie

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Umfassende Einführung in Maß- und Integrationstheorie mit Fokus auf Sigma-Algebren, Lebesgue-Integral, Konvergenzsätze und fortgeschrittene Konzepte wie Produktmaße und Fubini-Satz.
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21 Lesons
4 hours 30 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Statistical Estimation of Optimal Transport Potentials

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Explorez les méthodes statistiques pour estimer les potentiels de transport optimal et leurs applications en analyse de données.
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1 Lesons
51 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Barycenters for Probability Distributions Based on Optimal Weak Mass Transport

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Explore optimal weak mass transport for probability distributions, focusing on barycenters and their applications in mathematical analysis.
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1 Lesons
46 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Some Bounds for the Wasserstein Distance Between the Empirical Measure

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Explorez les limites de la distance de Wasserstein entre la mesure empirique, en approfondissant les concepts mathématiques avancés et leurs applications statistiques.
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1 Lesons
35 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Horospherically Invariant Measures and Rank Dichotomy for Anosov Groups - Lecture 2

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Explore horospherically invariant measures and rank dichotomy for Anosov groups in algebraic geometry, focusing on measure rigidity and ergodic theorems.
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9 Lesons
57 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

An Introduction to Geometry and Dynamics on Semisimple Lie Groups - Lecture 3

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Explore semisimple Lie groups, their structure, discrete subgroups, and asymptotic behavior through advanced mathematical concepts and theorems.
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10 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Dynamics of Smooth Chaotic Surface Diffeomorphisms - 34th CBM Plenary Lecture

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Explore a palestra sobre dinâmica de difeomorfismos caóticos suaves em superfícies, apresentada por Omri Sarig no 34º Colóquio Brasileiro de Matemática.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Mestrado: Cadeia de Markov - Aula 12

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Explore conceitos avançados de Cadeias de Markov, incluindo definições, propriedades e aplicações em probabilidade e teoria dos conjuntos. Aprofunde-se na matemática por trás dessas estruturas fundamentais.
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18 Lesons
1 hour 42 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria Ergódica Diferenciável - Aula 01

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Explore medidas invariantes, recorrência e teoremas ergódicos em sistemas dinâmicos. Aprofunde-se em tópicos avançados como entropia, pressão e transformações expansoras em variedades matemáticas.
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17 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Banach Center

A New Characterization of Independence Based on Local Correlations

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Odkryj nową charakterystykę niezależności opartą na korelacjach lokalnych w matematyce statystycznej.
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1 Lesons
25 minutes
On-Demand
Free-Video
Banach Center

Własności Ergodyczne Pewnego Równania Różniczkowego Cząstkowego i Ich Zastosowania

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Zgłęb własności ergodyczne równania różniczkowego cząstkowego i ich praktyczne zastosowania w matematyce stosowanej.
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1 Lesons
37 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria Ergódica Diferenciável - Aula 20

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Explore advanced concepts in Differentiable Ergodic Theory with Dr. Khadim War in this doctoral-level lecture, delving into complex mathematical principles and their applications.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria Ergódica Diferenciável - Aula 19

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Explore advanced concepts in Differentiable Ergodic Theory with Dr. Khadim War in this doctoral-level lecture, delving into complex mathematical principles and their applications.
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1 Lesons
59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria Ergódica Diferenciável - Aula 18

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Explore advanced concepts in Differentiable Ergodic Theory with Dr. Khadim War in this doctoral-level lecture, delving into complex mathematical principles and their applications.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria Ergódica Diferenciável - Aula 16

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Explore advanced concepts in Differentiable Ergodic Theory with Dr. Khadim War in this doctoral-level lecture, delving into complex mathematical principles and their applications.
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1 Lesons
59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria Ergódica Diferenciável - Aula 15

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Explore advanced concepts in Differentiable Ergodic Theory with Dr. Khadim War in this doctoral-level lecture, delving into complex mathematical principles and their applications.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Vietoris-Rips Thickenings - Problems for Birds and Frogs

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Explore open problems in Vietoris-Rips complexes, connecting diverse mathematical areas. Suitable for both broad theorists and problem-solving specialists in applied algebraic topology.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Particle Methods for Optimization Over Measures - Lecture 2

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Explore particle methods for measure optimization, focusing on theoretical foundations and practical applications in data science and machine learning.
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1 Lesons
2 hours 19 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Particle Methods for Optimization Over Measures - Lecture 2

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Explore particle methods for measure optimization in this advanced lecture, covering theoretical foundations and practical applications in data science and machine learning.
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1 Lesons
53 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Particle Methods for Optimization over Measures - Lecture 1

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Explore particle methods for measure optimization, focusing on theoretical foundations and practical applications in data science and machine learning.
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1 Lesons
56 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

H-theorems for Queues with Reneging

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Delve into measure-valued transport equations and their applications in many-server queues, exploring mathematical modeling techniques for systems ranging from biology to operations research.
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1 Lesons
58 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

On the Dani Correspondence and Its Applications - Lecture 2

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Delve into Diophantine approximation through ergodic theory, exploring the Dani correspondence and its dynamic interpretation of rational number density in the real line.
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9 Lesons
1 hour 1 minute
On-Demand
Free-Video
Simons Semester on Dynamics

Some Arguments in Equidistribution - Lecture 3

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Delve into advanced concepts of ergodic theory, including measure preservation, Birkhoff's theorem, and ergodicity of flows on the 2-torus, with applications to hyperbolic automorphisms.
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1 Lesons
56 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Some Arguments in Equidistribution - Lecture 2

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Delve into advanced mathematical concepts of ergodic theory, measure preservation, and equidistribution, exploring key theorems and their applications in dynamic systems and torus flows.
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1 Lesons
54 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Some Arguments in Equidistribution - Lecture 1

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Explore fundamental concepts of ergodic theory, from measure-preserving systems to Birkhoff's theorem, with applications to circle rotations and flows on the 2-torus.
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1 Lesons
52 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Some Arguments in Equidistribution - Lecture 3

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Delve into measure-preserving dynamics and ergodic theory, exploring Birkhoff's theorem, irrational circle rotations, and ergodicity concepts through detailed mathematical proofs and key theorems.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Some Arguments in Equidistribution - Lecture 5

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Delve into advanced concepts of equidistribution theory, exploring measure preservation, ergodicity, and the Birkhoff ergodic theorem through practical examples and mathematical proofs.
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5 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Some Arguments in Equidistribution - Lecture 4

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Delve into advanced concepts of ergodic theory, including measure preservation, Birkhoff's theorem, and ergodicity of flows on the 2-torus, with applications to hyperbolic automorphisms.
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1 Lesons
57 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Some Arguments in Equidistribution - Lecture 6

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Delve into advanced concepts of equidistribution theory, exploring ergodic theorems, measure preservation, and flow dynamics on the 2-torus through detailed mathematical proofs and arguments.
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1 Lesons
1 hour
On-Demand
Free-Video
Simons Semester on Dynamics

Modern Tools in the Joint Ergodicity Problem

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Explore advanced mathematical concepts and tools for solving joint ergodicity problems, focusing on nilpotent structures in topological dynamics and ergodic theory.
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1 Lesons
49 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Mean Ergodic Theorems Along Sequences of Polynomial Growth

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Delve into advanced mathematical concepts exploring mean ergodic theorems and their relationship with polynomial growth sequences in dynamical systems and ergodic theory.
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1 Lesons
48 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Disintegrating Cubic Measures for Sumsets

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Explore advanced mathematical concepts in cubic measure disintegration and their applications to sumset analysis through Robertson's theoretical framework and methodologies.
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1 Lesons
42 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Some Arguments in Equidistribution - Lecture 7

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Delve into advanced concepts of ergodic theory, including measure preservation, Birkhoff's theorem, and ergodicity of flows on the 2-torus through mathematical proofs and key theorems.
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1 Lesons
43 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Some Arguments in Equidistribution - Lecture 8

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Delve into advanced concepts of ergodic theory, including measure preservation, Birkhoff's theorem, and hyperbolic automorphisms through practical examples and mathematical proofs.
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1 Lesons
1 hour
On-Demand
Free-Video
Simons Semester on Dynamics

One-Parameter Families of Hyperbolic Iterated Function Systems on the Line - Lecture 3

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Delve into hyperbolic iterated function systems and their dimensional properties, exploring transversality methods for analyzing one-parameter families and their applications in measure theory and dynamics.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Noncommutative Maximal Inequality and Ergodic Theorem for Actions of Amenable Groups

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Delve into noncommutative maximal inequality and ergodic theorem, exploring measure-preserving transformations and actions of amenable groups in advanced mathematical theory.
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16 Lesons
58 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Convergence of Multiple Ergodic Averages for Totally Ergodic Systems

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Delve into advanced ergodic theory as Andreas Koutsogiannis explores convergence properties of multiple ergodic averages, focusing on totally ergodic dynamical systems and their mathematical implications.
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1 Lesons
43 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Multiple Ergodic Averages Along Polynomials for Systems of Commuting Transformations

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Delve into advanced mathematical concepts exploring multiple ergodic averages and polynomial systems in commuting transformations with expert Borys Kuca from University of Crete.
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1 Lesons
46 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Joint Ergodicity Beyond Polynomials

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Delve into advanced mathematical concepts of joint ergodicity, exploring extensions beyond polynomial structures through theoretical frameworks and dynamic systems analysis.
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1 Lesons
37 minutes
On-Demand
Free-Video
Steve Brunton

Set Theory in Probability - Sample Spaces and Events

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Explore fundamental set theory concepts and their application in probability, including sample spaces, events, and key operations like unions and intersections through clear examples.
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9 Lesons
24 minutes
On-Demand
Free-Video
ICTP Mathematics

Introduction to Ergodic Theory 1

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Explore measure theory fundamentals, sigma algebras, and Lebesgue measure construction in this comprehensive introduction to ergodic theory.
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11 Lesons
48 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On Some Tight Convexity Inequalities for Symmetric Convex Sets

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Explores tight convexity inequalities for symmetric convex sets, focusing on Gaussian measure, isoperimetric problems, and Dirichlet-Poincare inequality. Discusses progress using L2 methods and energy minimization.
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17 Lesons
40 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Guido De Philippis - PDE Constrained Measures III

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Explore advanced concepts in PDE-constrained measures with Guido De Philippis, delving into complex mathematical theories and applications in this advanced lecture.
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1 Lesons
35 minutes
On-Demand
Free-Video
ICTP Mathematics

Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 2

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Explore geodesic flow dynamics, maximal entropy measures, and Patterson-Sullivan measures on ideal boundaries in surfaces without conjugate points.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
ICTP Mathematics

Ergodicity in Smooth Dynamics - Lecture 10

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Explore ergodicity in smooth dynamics with Jana Rodriguez-Hertz, delving into advanced mathematical concepts and their applications in dynamical systems.
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1 Lesons
34 minutes
On-Demand
Free-Video
ICTP Mathematics

Ergodicity in Smooth Dynamics - Lecture 9

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Explore ergodicity in smooth dynamics with expert Amie Wilkinson, delving into advanced mathematical concepts and their applications in dynamical systems.
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1 Lesons
57 minutes
On-Demand
Free-Video
ICTP Mathematics

Renormalization in Entropy Zero Systems - Lecture 5

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Explore advanced concepts in dynamical systems, focusing on renormalization techniques for entropy zero systems. Gain insights from expert Corinna Ulcigrai.
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1 Lesons
55 minutes
On-Demand
Free-Video
ICTP Mathematics

Renormalization in Entropy Zero Systems - Lecture 4

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Explore advanced concepts in dynamical systems, focusing on renormalization techniques for entropy zero systems. Gain insights from expert Khadim War.
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1 Lesons
47 minutes
On-Demand
Free-Video
ICTP Mathematics

Ergodicity in Smooth Dynamics - Lecture 8

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Explore ergodicity in smooth dynamics, delving into advanced mathematical concepts and their applications in dynamical systems theory.
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1 Lesons
51 minutes
On-Demand
Free-Video
ICTP Mathematics

Ergodicity in Smooth Dynamics - Lecture 7

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Explore ergodicity in smooth dynamics with experts Rodriguez-Hertz and Wilkinson, delving into advanced concepts and applications in this comprehensive lecture.
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1 Lesons
53 minutes
On-Demand
Free-Video
ICTP Mathematics

Ergodicity in Smooth Dynamics - Lecture 5

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Explore ergodicity in smooth dynamics with experts Rodriguez-Hertz and Wilkinson, delving into advanced concepts and applications in this comprehensive lecture.
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1 Lesons
56 minutes
On-Demand
Free-Video
ICTP Mathematics

Ergodicity in Smooth Dynamics - Lecture 4

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Explore ergodicity in smooth dynamics with expert Amie Wilkinson, delving into advanced mathematical concepts and their applications in dynamical systems.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
ICTP Mathematics

Renormalization in Entropy Zero Systems - Lecture 2

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Explore advanced concepts in dynamical systems, focusing on renormalization techniques for entropy zero systems. Gain insights from expert Corinna Ulcigrai.
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1 Lesons
51 minutes
On-Demand
Free-Video
ICTP Mathematics

Ergodicity in Smooth Dynamics - Lecture 3

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Explore ergodicity in smooth dynamics, delving into advanced concepts and applications in dynamical systems theory.
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1 Lesons
39 minutes
On-Demand
Free-Video
ICTP Mathematics

Renormalization in Entropy Zero Systems - Lecture 1

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Explore renormalization techniques in entropy zero dynamical systems, focusing on advanced mathematical concepts and their applications in theoretical physics.
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1 Lesons
49 minutes
On-Demand
Free-Video
ICTP Mathematics

Ergodicity in Smooth Dynamics - Lecture 2

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Explore advanced concepts in ergodic theory and smooth dynamical systems, focusing on measure-preserving transformations and their properties in continuous-time systems.
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1 Lesons
41 minutes
On-Demand
Free-Video
ICTP Mathematics

Piecewise Expanding Maps of the Circle - Lecture 5

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Explore piecewise expanding maps on the circle, delving into advanced mathematical concepts and their applications in dynamical systems theory.
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1 Lesons
46 minutes
On-Demand
Free-Video
ICTP Mathematics

Introduction to Ergodic Theory - Lecture 5

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Explore fundamental concepts and applications of ergodic theory, delving into mathematical principles that govern long-term behavior of dynamical systems.
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1 Lesons
55 minutes
On-Demand
Free-Video
ICTP Mathematics

Introduction to Ergodic Theory - Lecture 4

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Explore fundamental concepts and applications of ergodic theory, delving into mathematical principles that govern long-term behavior of dynamical systems.
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1 Lesons
52 minutes
On-Demand
Free-Video
ICTP Mathematics

Piecewise Expanding Maps of the Circle - Lecture 4

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Explore piecewise expanding maps on the circle, delving into advanced mathematical concepts and their applications in dynamical systems theory.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
ICTP Mathematics

Piecewise Expanding Maps of the Circle - Lecture 3

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Explore piecewise expanding maps of the circle, delving into advanced mathematical concepts and their applications in dynamical systems theory.
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1 Lesons
48 minutes
On-Demand
Free-Video
ICTP Mathematics

Introduction to Ergodic Theory - Lecture 3

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Explore fundamental concepts and applications of ergodic theory, delving into mathematical principles that govern long-term behavior of dynamical systems.
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1 Lesons
55 minutes
On-Demand
Free-Video
ICTP Mathematics

Introduction to Ergodic Theory - Lecture 2

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Explore fundamental concepts and applications of ergodic theory, building on previous knowledge and delving into advanced topics in dynamical systems.
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1 Lesons
48 minutes
On-Demand
Free-Video
ICTP Mathematics

Piecewise Expanding Maps of the Circle - Lecture 2

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Explore advanced concepts of piecewise expanding maps on the circle, building on previous knowledge and delving into more complex mathematical theories and applications.
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1 Lesons
46 minutes
On-Demand
Free-Video
Fields Institute

Introduction to the Riemannian Curvature Dimension Condition - Lecture 2

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Explore advanced concepts in Riemannian geometry with Prof. Gigli, focusing on the Curvature Dimension condition and its applications in non-smooth settings.
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1 Lesons
1 hour 38 minutes
On-Demand
Free-Video
Fields Institute

Introduction to the Riemannian Curvature Dimension Condition - Lecture 1

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Explore the Riemannian Curvature Dimension condition with Professor Nicola Gigli, delving into advanced mathematical concepts for graduate-level understanding of non-smooth geometry.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On Density of Sobolev Functions on Euclidean Domains

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Explore recent findings on Sobolev space density, removability of measure zero sets, and extension operators in Euclidean domains. Gain insights into advanced mathematical concepts and their applications.
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1 Lesons
45 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Nikodym Sets and Maximal Functions Associated with Spheres - Lecture 1

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Explore advanced harmonic analysis concepts: Nikodym sets and maximal functions associated with spheres. Gain insights from expert Jongchon Kim in this comprehensive lecture.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Optimal Shape of Tree Roots and Branches - Seminar in Analysis and Methods of PDE

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Explore mathematical models for optimal shapes in nature, focusing on tree roots and branches. Examine functionals for sunlight capture and nutrient collection, combined with transportation costs.
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1 Lesons
56 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Measuring Singularities - Colloquium 2

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Explore advanced mathematical concepts in singularity theory with Karen E. Smith, delving into measurement techniques and their applications in algebraic geometry.
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1 Lesons
46 minutes
On-Demand
Free-Video
Insights into Mathematics

Computability and Problems with Set Theory - Math History

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Explores historical controversies in set theory, Gödel's incompleteness theorems, Zermelo-Fraenkel axioms, and Turing's computability concepts, challenging traditional views on infinite sets in mathematics.
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7 Lesons
47 minutes
On-Demand
Free-Video
Insights into Mathematics

The Curious World of Integral Polynumbers - Math Foundations 233

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Explore integral polynumbers through particle physics concepts, expanding arithmetic to include integers as coefficients and exponents, and viewing polynomials as algebraic objects rather than functions.
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9 Lesons
37 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Is There a Triangle Inequality for Measures of Compact, Convex Sets?

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Explore geometric inequalities for convex bodies, focusing on surface area, Minkowski sums, and measure properties. Examine recent findings on monotonicity and supermodularity for Borel and Radon measures.
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1 Lesons
25 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Building Measure Theory Using Hierarchy Builder

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Explore the Hierarchy Builder DSL for Coq and its application in constructing measure theory and Lebesgue measure, with insights for potential adaptations to other proof assistants.
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1 Lesons
40 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Radon-Nikodym Topography of Amenable Equivalence Relations in Acyclic Graphs

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Explore the extension of Adams's dichotomy to measure-class-preserving settings, examining Radon-Nikodym cocycle behavior in acyclic graphs and its connection to global properties like amenability.
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1 Lesons
48 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Measure Theoretic Reeb Graphs

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Explore measure-theoretic Reeb graphs, enhancing scalar function representation on topological spaces. Learn about stability, local smoothing, and applications in metric measure spaces.
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1 Lesons
56 minutes
On-Demand
Free-Video
Gautam Varde

Axiomatic Approach to Probability - Advanced Mathematics

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Explore the axiomatic approach to probability, covering key concepts and problem-solving techniques in advanced mathematics for engineering and competitive exams.
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1 Lesons
12 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Lorentzian Analog for Hausdorff Dimension and Measure

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Explore a novel approach to geometric dimension in Lorentzian spaces, comparing it to Hausdorff dimension and examining applications in spacetime analysis and synthetic curvature bounds.
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1 Lesons
36 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Lorentzian Functors and Closures of Relevant Subsets of Lorentzian Gromov-Hausdorff Space

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Explore recent advances in Lorentzian length spaces theory, including stability of properties, denseness of causal spacetimes, and geometric conditions for Radon measures in Lorentzian Gromov-Hausdorff space.
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1 Lesons
44 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Sobolev Spaces in Extended Metric-Topological Measure Spaces

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Explore Sobolev spaces in extended metric-topological measure spaces, focusing on Cheeger energy construction and properties in this general framework.
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1 Lesons
59 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Singularity of Stationary Measures in Markov Chains

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Explore stationary measures of compound Markov chains, focusing on examples using boundary processes of random walks on the modular group PSL(2,Z) and related classical constructions.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Dynamical Subsets in Iterated Function Systems

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Explore dynamical subsets in iterated function systems with Henna Koivusalo's in-depth analysis of rare events in dynamical systems.
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1 Lesons
54 minutes
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Quantitative Recurrence for Z-Extension of Three-Dimensional Axiom A Flows

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Explore quantitative recurrence in Z-extension of Axiom A flows, focusing on first return time behavior and applications to geodesic flows on Z-cover of compact surfaces.
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1 Lesons
55 minutes
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Institute for Mathematical Sciences

Optimal Transport and High Dimensional Probability in Wasserstein Spaces

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Explore optimal transport theory and high-dimensional probability in Wasserstein spaces, delving into advanced mathematical concepts and their applications.
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1 Lesons
56 minutes
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Institute for Mathematical Sciences

Optimal Transport and High-Dimensional Probability - Otto's Calculus on Wasserstein Space

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Explore optimal transport and high-dimensional probability through Otto's Calculus on Wasserstein spaces, delving into advanced mathematical concepts and their applications.
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1 Lesons
59 minutes
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Centre International de Rencontres Mathématiques

A Gentle Introduction to Type III Factors and Connes' Bicentralizer Problem

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Explore type III factors and Connes' Bicentralizer Problem in operator algebra theory. Gain insights into advanced mathematical concepts through this gentle introduction.
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1 Lesons
1 hour 2 minutes
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Centre International de Rencontres Mathématiques

Numerical Quadrature for Singular Integrals over Self-Similar Measures on Fractal Sets

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Explore numerical quadrature techniques for singular integrals over self-similar measures on fractal sets, focusing on advanced mathematical concepts and applications.
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1 Lesons
37 minutes
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Centre International de Rencontres Mathématiques

Sobolev Spaces on Metric Spaces - Lecture by Jun Kigami

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Explore Sobolev spaces on metric spaces, covering basic concepts, new examples, and discrete energy. Gain insights into advanced mathematical analysis techniques.
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8 Lesons
32 minutes
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Homeomorphic Sobolev Extensions of Parametrizations of Jordan Curves

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Explore homeomorphic Sobolev extensions of Jordan curve parametrizations, examining conditions for finite energy deformations and recent findings in this mathematical field.
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1 Lesons
32 minutes
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Big Ideas In Dynamics

Strict Ergodicity and Transformation of the Torus

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Explore strict ergodicity and torus transformations in advanced mathematics, focusing on dynamic geometry concepts and their applications.
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1 Lesons
1 hour 1 minute
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Big Ideas In Dynamics

Specification and Measures of Maximal Entropy

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Explore maximal entropy measures and specification in dynamical systems, focusing on key concepts and their applications in ergodic theory.
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1 Lesons
53 minutes
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Big Ideas In Dynamics

Thermodynamic Formalism and Conformal Iterated Function Systems

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Explore advanced concepts in dynamical systems, focusing on thermodynamic formalism and conformal iterated function systems.
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1 Lesons
1 hour 31 minutes
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