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#Ergodicity

Showing: 29 courses
Santa Fe Institute

Mandelbrot, 1/f Noise, and The Mind's Eye in Complexity Science

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Exploring Mandelbrot's contributions to 1/f noise, long-range dependence, and fractional models. Discusses the impact of cognitive diversity on scientific progress and the importance of visual thinking in mathematics.
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1 Lesons
50 minutes
On-Demand
Free-Video
Institute for Advanced Study

The General Case? - Amie Wilkinson

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Explore ergodicity, Boltzmann's ideas, and recent developments in dynamical systems with mathematician Amie Wilkinson in this engaging seminar on the concept of "the general case".
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13 Lesons
58 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

How Lagrangian States Evolve into Random Waves

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Explorez l'évolution des états lagrangiens en ondes aléatoires dans le contexte du chaos quantique. Découvrez les progrès récents dans la compréhension de la conjecture de Berry sur les fonctions propres du laplacien.
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28 Lesons
1 hour 2 minutes
On-Demand
Free-Video
International Mathematical Union

George Willis, Pierre-Emmanuel Caprace - A Totally Disconnected Invitation to Locally Compact Groups

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Explore topological groups, focusing on locally compact and totally disconnected types. Discover recent advances in theory, simple groups, local structure, and comparisons with linear groups.
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14 Lesons
45 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Panorama of Mathematics - Laure Saint-Raymond

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Explore particle dynamics, chaos theory, and statistical mechanics in large systems. Gain insights into ergodicity, entropy, and the Boltzmann equation with mathematician Laure Saint-Raymond.
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13 Lesons
52 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Stochastic Analysis and Geometric Functional Inequalities

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Explore methods for proving functional inequalities in hypoelliptic diffusions, including geometric and probabilistic approaches, with applications to Langevin dynamics ergodicity.
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1 Lesons
56 minutes
On-Demand
Free-Video
ICTP Mathematics

Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 4

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Explore geodesic flow dynamics on surfaces without conjugate points, focusing on uniqueness and ergodicity of maximal entropy measure and mixing properties of the flow.
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1 Lesons
1 hour 55 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 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

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

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

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
International Centre for Theoretical Sciences

Defining Chaos and Ergodicity Through Adiabatic Transformations by Anatoli Polkovnikov

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Explore chaos and ergodicity in quantum systems through adiabatic transformations. Gain insights into non-equilibrium physics and many-body stability in coherent quantum matter.
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1 Lesons
2 hours 11 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Matrix Representation of a Discrete-Time Markov Chain (DTMC) - Lecture 46

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Explore matrix notation of DTMCs, including egodicity, ergodic chains, and global balance equations. Learn about n-step transition probabilities in this concise lecture.
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4 Lesons
15 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

An Exploration-Agnostic Characterization of the Ergodicity of Parallel Tempering

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Explore non-reversible parallel tempering's ergodicity in complex distributions, examining its efficiency and comparing it to classical methods through theoretical analysis and simulations.
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1 Lesons
48 minutes
On-Demand
Free-Video
ICTP Mathematics

Ergodicity for the Randomly Forced Navier-Stokes System

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Explore ergodicity in randomly forced Navier-Stokes systems for 2D unbounded domains. Gain insights from expert Vahagn Nersesyan on mixing and control in fluid dynamics.
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1 Lesons
58 minutes
On-Demand
Free-Video
Kavli Institute for Theoretical Physics

Breaking Ergodicity - Quantum Scars, Quantum Many-Body Scars and Regular Eigenstates

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Explore quantum scars and non-equilibrium phenomena in many-body systems with long-range interactions. Discover novel phases and bridge gaps between research perspectives in quantum matter experiments.
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1 Lesons
40 minutes
On-Demand
Free-Video
Simons Institute

Emergence of Universal Randomness in Quantum Many-body Dynamics

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Explore universal randomness in quantum dynamics, deep thermalization, and Hilbert-space ergodicity. Learn about applications in quantum information theory and experimental observations.
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1 Lesons
44 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Cutoff for the Transience Time for the SSEP with Traps and the Facilitated Exclusion Process

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Explore phase separation in the facilitated exclusion process, examining its mapping to SSEP with traps and analyzing transience time cutoff and mixing time implications.
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1 Lesons
48 minutes
On-Demand
Free-Video
BSS Physics School

Thermalization and Many-Body Localization II - Lecture 4

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Explore advanced concepts in thermalization and many-body localization with David Huse, delving into cutting-edge physics research and theoretical frameworks.
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1 Lesons
1 hour 43 minutes
On-Demand
Free-Video
BSS Physics School

Thermalization and Many-Body Localization - Part I

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Explore thermalization and many-body localization with David Huse in this advanced physics lecture, delving into fundamental concepts and recent developments.
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1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
PCS Institute for Basic Science

Many-Body Localization: From Anderson Localization to Quantum Chaos

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Explore Anderson localization, its applications, and the concept of Many-Body Localization in quantum systems. Gain insights into integrable and chaotic behavior, ergodicity, and related phenomena.
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26 Lesons
49 minutes
On-Demand
Free-Video
ICTP Condensed Matter and Statistical Physics

Ergodicity and Its Breaking Through the Prism of Quantum Entanglement - Part 1

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Explore quantum entanglement's role in ergodicity breaking, examining models, experiments, and concepts like thermalization and prethermalization in statistical mechanics.
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18 Lesons
1 hour 28 minutes
On-Demand
Free-Video
ICTP Mathematics

Ergodicity in Smooth Dynamics 1

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Explore ergodicity in smooth dynamics, covering introductory concepts, examples, proofs, and higher dimensions with experts Jana Rodriguez-Hertz and Amie Wilkinson.
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11 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Entropy Growth During Free Expansion of an Ideal Gas

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Explore entropy growth in free expansion of ideal gas, examining macrostates, irreversibility, and factors influencing entropy increase in non-equilibrium systems.
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1 Lesons
44 minutes
On-Demand
Free-Video
BSS Physics School

Thermalization and Many-Body Localization - Lecture 4

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Explore advanced concepts in thermalization and many-body localization with David Huse's in-depth lecture, part of the BSS2023 Physics School series.
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1 Lesons
1 hour 33 minutes
On-Demand
Free-Video
BSS Physics School

Thermalization and Many-Body Localization - Part III

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Explore advanced concepts in thermalization and many-body localization with David Huse, delving into cutting-edge physics research and theories.
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1 Lesons
1 hour 46 minutes
On-Demand
Free-Video