Simons Semester on Dynamics Courses

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.

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

Volume Entropy for Flat Surfaces

Explore volume entropy in flat surfaces, its relation to negative curvature surfaces, and its minimum value on SL(2,R)-orbits in specific cases.

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

Methods for Studying Abelian Actions and Centralizers - Lecture 5: Transitive Centralizer and Fibered Partially Hyperbolic Systems

Explore transitive centralizers and fibered partially hyperbolic systems in dynamical systems. Gain insights into advanced concepts in smooth ergodic theory and their applications to centralizer rigidity.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

François Ledrappier / Pablo Lessa ( CNRS / Universidad de la República, Uruguay), lecture 5

Explore the fifth lecture in a series on the dimension of stationary measures for random walks, delivered by François Ledrappier and Pablo Lessa. Delve into the complex topic of one-step formulas in the context of studying the dimension of stationary mea…

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

Dimension of Stationary Measures - Lecture 4

Delve into the dimension of stationary measures in random walks on matrix groups, exploring flag spaces, Oseledets measures, and configuration space dynamics.

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

Károly Simon (Budapest University of Technology and Economics), lecture 1

Syllabus: Károly Simon (Budapest University of Technology and Economics), lecture 1

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

Methods for Studying Abelian Actions and Centralizers - Lecture 6

Explore centralizer rigidity and classification in accessible examples of dynamical systems. Gain insights into the non-generic situations where smooth centralizers form larger groups, particularly in algebraic systems.

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

Dimension of Stationary Measures - Lecture 6

Explore the sixth lecture in a series on the dimension of stationary measures for random walks, delivered by François Ledrappier and Pablo Lessa. Delve into the final topic of the series: the addition of entropy and dimension. Gain insights into how this…

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Classifying Pseudo-Anosov Flows on 3-Manifolds - Lecture 4

Explore a comprehensive lecture on classifying pseudo-Anosov flows on 3-manifolds, delivered by Kathryn Mann from Cornell University as part of the Simons Semester on Dynamics. Delve into the collaborative work with Barthelmé, Fenley, and Frankel, focusi…

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

Dimension of Stationary Measures - Lecture 3

Delve into the dimension of stationary measures in random walks on matrix groups, exploring flag spaces, Oseledets measures, and configuration space dynamics. Gain insights into entropy and dimension addition.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Classifying Pseudo-Anosov Flows on 3-Manifolds - Lecture 3

Explore a comprehensive lecture on classifying pseudo-Anosov flows on 3-manifolds, delivered by Kathryn Mann from Cornell University as part of the Simons Semester on Dynamics. Delve into the collaborative work with Barthelmé, Fenley, and Frankel, focusi…

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

Methods for Studying Abelian Actions and Centralizers - Lecture 4

Explore partially hyperbolic conservative dynamics, focusing on volume disintegration along foliations and the relationship between large centralizers and pathological center foliations.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Methods for Studying Abelian Actions and Centralizers - Lecture 3

Explore two methods for studying abelian actions and centralizers: linearization and non-linearization. Delve into cohomology concepts and their applications in dynamical systems analysis.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Dimension of Stationary Measures - Lecture 2

Explore the dimension of stationary measures in random walks, focusing on matrix group actions over flag spaces. Gain insights into exact dimensions, partial answers, and the intricate structure of flag spaces.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Methods for Studying Abelian Actions and Centralizers - Lecture 2

Explore local and global rigidity for abelian actions and centralizer rigidity. Examine examples and basic invariant structures, delving into the foundations of dynamical systems theory and its applications.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video