Ergodic Theory Courses and Certifications

Banach Center

Automatic Sequences from the Point of View of Higher Order Fourier Analysis

Explore automatic sequences through higher order Fourier analysis, examining their properties and applications in topological dynamics, ergodic theory, and combinatorics.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Banach Center

Separating Recurrence Properties in Topological Dynamics

Explore separating recurrence properties in topological dynamics and ergodic theory with insights from John Griesmer's research at Colorado School of Mines.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Banach Center

Multiple Ergodic Averages Along Polynomials for Systems of Commuting Transformations

Explore multiple ergodic averages along polynomials for commuting transformations systems in this mathematical lecture by Borys Kuca from the University of Crete.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Banach Center

Convergence of Multiple Ergodic Averages for Totally Ergodic Systems

Explore convergence of multiple ergodic averages in totally ergodic systems with Andreas Koutsogiannis. Delve into advanced mathematical concepts and their applications in ergodic theory.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Banach Center

Joint Ergodicity Beyond Polynomials

Explore joint ergodicity beyond polynomials in topological dynamics and ergodic theory with Sebastian Donoso from the University of Chile.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Banach Center

Modern Tools in the Joint Ergodicity Problem

Explore modern techniques for solving joint ergodicity problems in dynamical systems, focusing on recent advancements and applications.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Banach Center

Mean Ergodic Theorems Along Sequences of Polynomial Growth

Explore mean ergodic theorems along polynomial growth sequences, delving into advanced mathematical concepts in ergodic theory and topological dynamics.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Furstenberg Entropy Spectrum of Stationary Actions

Delve into advanced mathematical concepts of Furstenberg entropy spectrum, exploring ergodic stationary actions, Poisson bundles, and Nevo-Zimmer structure theorems in group dynamics.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Non-commutative Pointwise Ergodic Theorem for Actions of Amenable Groups

Explore generalizations of Birkhoff's theorem for amenable group actions and von Neumann algebras, focusing on non-commutative maximal functions and operator families.

• YouTube
• 1 hour
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Teoria Ergódica Diferenciável - Aula 20 - 24/10/2024

Explore advanced concepts in Differentiable Ergodic Theory, including invariant measures, Poincaré and Birkhoff recurrence theorems, ergodic decomposition, and topological entropy in mathematical dynamics.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Teoria Ergódica Diferenciável - Aula 19 - 23/10/2024

Explore advanced concepts in Differentiable Ergodic Theory, including invariant measures, Poincaré and Birkhoff recurrence theorems, ergodic decomposition, and topological entropy.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Teoria Ergódica Diferenciável - Aula 18 - 22/10/2024

Explore advanced concepts in Differentiable Ergodic Theory, including invariant measures, Poincaré and Birkhoff recurrence theorems, ergodic decomposition, and topological entropy in mathematical dynamics.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Teoria Ergódica Diferenciável - Aula 22

Explore advanced concepts in Differentiable Ergodic Theory, including invariant measures, Poincaré and Birkhoff recurrence theorems, ergodic decomposition, and topological entropy in mathematical dynamics.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Teoria Ergódica Diferenciável - Aula 21

Explore advanced concepts in Differentiable Ergodic Theory, including invariant measures, Poincaré and Birkhoff recurrence theorems, ergodic decomposition, and topological entropy in mathematical dynamics.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Doutorado: Teoria Ergódica Diferenciável - Aula 13

Explore medidas invariantes, recorrência e teoremas ergódicos em sistemas dinâmicos. Aprofunde-se em tópicos avançados como entropia, pressão e teoria ergódica não-uniforme.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video