Dynamics Associated to Anosov Representations: Some Geometric Consequences - Lecture 2
Explore dynamical systems of Anosov representations, including Patterson-Sullivan theory, critical hypersurface, and directional-conicality. Examine dominated sequences and their impact on limit set regularity.
Homogeneous Dynamics and u-Gibbs States
Explore orbit closure and measure classification in homogeneous dynamics, with insights on extending results to non-homogeneous settings using robust approaches.
Dynamics Associated to Anosov Representations: Some Geometric Consequences - Lecture 1
Explore dynamical systems of Anosov representations, including Patterson-Sullivan theory, critical hypersurface, and directional-conicality. Examine dominated sequences and their impact on limit set regularity.
Anosov Representations - Lecture 3
Explore Anosov representations, their characterizations, domains of discontinuity, and connections to convex projective geometry. Discover recent developments and potential research directions.
Anosov Representations - Lecture 2
Explore Anosov representations, their characterizations, domains of discontinuity, and connections to convex projective geometry in this advanced mathematical lecture.
Divisible Convex Sets with Properly Embedded Cones
Explore divisible convex sets, their theory, and new examples in projective geometry. Delve into connections with dynamical systems, geometric group theory, and Riemannian geometry.
Equidistribution of Periodic Tori
Explore equidistribution of periodic tori in higher rank Lie groups, extending Bowen and Margulis' work on closed geodesics in hyperbolic surfaces.
Introduction to Anosov Representations - Lecture 1
Explore Anosov representations, their characterizations, and applications in convex projective geometry. Gain insights into recent developments and potential research directions.
A Higher Dimensional Generalization of the Birkhoff Attractor
Explore higher-dimensional generalizations of the Birkhoff attractor using spectral metrics for conformal symplectic maps and damped Hamiltonian systems.
Mapping Riemannian Manifolds in Metric Spaces
Explore Riemannian manifold mappings, their applications in geometry, and the construction of canonical shapes. Gain insights into special mappings, stability problems, and geometric inequalities.
Spontaneous Stochasticity in Multi-Scale Dynamics
Explore spontaneous stochasticity in multi-scale dynamics, focusing on turbulence models and the formalization of stochastic solutions using renormalization-group operator attractors.
Separating Actions from Angles in Local Diffeomorphisms
Explore geometric normalization of analytic local diffeomorphisms near weakly attracting elliptic fixed points, focusing on existence and applications.
C*-Bundles Containing the Effros-Shen Algebras
Explore C*-bundles containing Effros-Shen algebras, examining homeomorphisms, rational numbers, and continuous fractions in this advanced mathematical lecture.
Conjugacy and Continuous Orbit Equivalence of Graphs
Explore graph dynamics, conjugacy, and continuous orbit equivalence. Delve into labeling, groupoids, topology, and flow equivalence in this advanced mathematical lecture.
Dynamics of B-free Systems Generated by Behrend Sets
Explore the dynamics of B-free systems generated by Behrend sets, delving into mathematical concepts and their applications in number theory and dynamical systems.
Distribution of Translation Orbits Along Good Averaging Sequences
Explore translation orbit distribution along good averaging sequences in topological dynamics and ergodic theory with Mate Wierdl from the University of Memphis.
On Recurrence and Nilsystems
Explore recurrence and nilsystems in topological dynamics, examining their connections and implications for ergodic theory and combinatorics.
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.
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.
Joint Ergodicity Beyond Polynomials
Explore joint ergodicity beyond polynomials in topological dynamics and ergodic theory with Sebastian Donoso from the University of Chile.
Modern Tools in the Joint Ergodicity Problem
Explore modern techniques for solving joint ergodicity problems in dynamical systems, focusing on recent advancements and applications.