Closure of Orbits of the Pure Mapping Class Group on the Character Variety
Explore the pure mapping class group's action on character varieties, examining orbit closures and their implications for various mathematical contexts and applications.
Non-unique Ergodicity for 3D Navier-Stokes and Euler Equations
Delve into non-unique ergodicity for 3D Navier-Stokes and Euler equations, exploring advanced concepts in fluid mechanics and statistical hydrodynamics with expert Rongchan Zhu.
A Descriptive Approach to Pointwise Ergodic Theorems
Dive into a descriptive approach to pointwise ergodic theorems, exploring their applications in dynamical systems, probability, and number theory.
Semiclassical Measures for Laplacian Eigenfunctions and Quantum Cat Maps
Dive into semiclassical measures for Laplacian eigenfunctions and quantum cat maps, exploring quantum chaos and high-energy limit behavior in mathematics.
Non-hyperbolic Measures of Maximally Possible Entropy in Transitive Dynamical Systems
Explore the dynamics of nonhyperbolic partially hyperbolic diffeomorphisms, focusing on skew products of circle diffeomorphisms and their implications for ergodic measures and entropy in dynamical systems.
Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 1
Dive into chain recurrence classes of generic diffeomorphisms, exploring advanced concepts in dynamical systems and topology.
Metric and Ergodic Properties of Partially Hyperbolic Diffeomorphisms with Topological Neutral Center
Explore metric and ergodic properties of partially hyperbolic diffeomorphisms with topological neutral center. Gain insights into recent findings, including a dichotomy between atomicity and the Bernoulli property.
Strong Positive Recurrence for Diffeomorphisms
Explore strong positive recurrence in diffeomorphisms, its implications for entropy-maximizing measures, and its equivalence to Lyapunov exponent continuity. Gain insights into smooth diffeomorphisms on compact surfaces.
Birkhoff Sums as Distributions in Dynamical Systems
Explore Birkhoff sums as distributions in dynamical systems, examining regularity results for hyperbolic systems and applications to deformation theory in one-dimensional dynamical systems.
Non-classifiability of K-automorphisms - Lecture on Measure-Preserving Transformations
Delve into K-automorphisms, exploring their mixing properties, classification challenges, and the impossibility of Borel invariant classification. Gain insights into measure-preserving transformations and descriptive set theory.
Spectrum Rigidity and Joint Integrability for Anosov Systems on Tori - Lecture 3
Delve into spectrum rigidity and joint integrability for Anosov systems on tori. Explore the equivalence between geometric rigidity and dynamical spectral rigidity in Anosov diffeomorphisms, focusing on irreducible cases with split stable bundles.
Typical Properties of Lebesgue Measure-Preserving Circle Maps
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.
Collapsed Anosov Flows: Characterizations and Proofs - Lecture 2
Delve into equivalent characterizations of collapsed Anosov flows and their strong variants, exploring key mathematical proofs and theoretical foundations in dynamical systems.
Teoria Ergódica Diferenciável - Aula 17 - 17/10/2024
Explore advanced concepts in Differentiable Ergodic Theory, including invariant measures, recurrence theorems, ergodic decomposition, and entropy, with Professor Marcelo Viana at IMPA.
Bilhares
Explore o fascinante mundo dos bilhares matemáticos com Alejandro Kocsard, descobrindo suas aplicações e propriedades únicas na geometria e sistemas dinâmicos.
Doutorado: Teoria Ergódica Diferenciável - Aula 15 - 09/10/2024
Assista à décima quinta aula do curso de doutorado em Teoria Ergódica Diferenciável ministrada pelo Professor Marcelo Viana no Instituto de Matemática Pura e Aplicada. Explore conceitos avançados como medidas invariantes, recorrência, teoremas de Poincar…
Doutorado: Teoria Ergódica Diferenciável - Aula 16 - 10/10/2024
Assista à décima sexta aula do curso de doutorado em Teoria Ergódica Diferenciável ministrada pelo Professor Marcelo Viana no Instituto de Matemática Pura e Aplicada. Explore conceitos avançados como medidas invariantes, recorrência, teoremas de Poincaré…
Horospherically Invariant Measures and Rank Dichotomy for Anosov Groups - Lecture 2
Explore horospherically invariant measures and rank dichotomy for Anosov groups in algebraic geometry, focusing on measure rigidity and ergodic theorems.
Virtually Expanding Dynamics
Explore analytic techniques in dynamics and geometry, focusing on virtually expanding dynamics. Gain insights from M. Tsujii's research at Kyushu University.
Renormalization of Unicritical Diffeomorphisms of the Disk
Explore renormalization of unicritical disk diffeos, focusing on infinitely renormalizable Henon maps and their convergence to unimodal maps. Gain insights into Pesin theory and critical orbits in higher dimensions.
Dynamics of Smooth Chaotic Surface Diffeomorphisms - 34th CBM Plenary Lecture
Explore a palestra sobre dinâmica de difeomorfismos caóticos suaves em superfícies, apresentada por Omri Sarig no 34º Colóquio Brasileiro de Matemática.