Anosov Flows on 3-Manifolds
Dive into Anosov flows on 3-manifolds, exploring their chaotic yet stable nature, classification challenges, and recent advancements in low-dimensional geometric topology.
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.
Entropy and Gibbs Measures for Hyperbolic Systems - Lecture 1
Explore hyperbolic systems, entropy, and Gibbs measures. Delve into classical examples, SRB measures, mixing speeds, and geodesic flows. Examine random walks in hyperbolic space and related concepts.
On the Dani Correspondence and Its Applications - Lecture 2
Delve into Diophantine approximation through ergodic theory, exploring the Dani correspondence and its dynamic interpretation of rational number density in the real line.
Young Towers for Geodesic Flows on Certain Non-Positively Curved Surfaces - ICTP 2021
Explore geodesic flows on non-positively curved surfaces through Young towers, covering history, results, Jacobi fields, and hyperbolic maps with expert Carlos Matheus.
Hyperbolic Geometry, the Modular Group and Diophantine Approximation - Lecture 1
Explore hyperbolic geometry, modular groups, and Diophantine approximation in this advanced lecture. Delve into fundamental concepts, geodesic flows, and subgroups of SL(2,R), with proofs and examples.
Young Towers for Geodesic Flows on Certain Non-Positively Curved Surfaces - ICTP 2021
Explore Young towers for geodesic flows on non-positively curved surfaces with Yakov Pesin. Gain insights into Sinai-Ruelle-Bowen measures and their applications in surface diffeomorphisms.
Unique Equilibrium States for Geodesic Flows in Nonpositive Curvature - Keith Burns
Explore geodesic flows in nonpositive curvature and their unique equilibrium states with mathematician Keith Burns in this advanced mathematics lecture.
Geodesic Flows on Surfaces With Non Positive Curvature That Are Bernoulli - Yuri Lima
Explore geodesic flows on surfaces with non-positive curvature and their Bernoulli properties in this advanced mathematics lecture by Yuri Lima.
Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 4
Explore geodesic flow dynamics on surfaces without conjugate points, focusing on uniqueness and ergodicity of maximal entropy measure and mixing properties of the flow.
Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 2
Explore geodesic flow dynamics, maximal entropy measures, and Patterson-Sullivan measures on ideal boundaries in surfaces without conjugate points.
Quantitative Recurrence for Z-Extension of Three-Dimensional Axiom A Flows
Explore quantitative recurrence in Z-extension of Axiom A flows, focusing on first return time behavior and applications to geodesic flows on Z-cover of compact surfaces.
Hypoelliptic Laplacian and the Trace Formula
Explore geometric formulas for semisimple orbital integrals, connecting heat equation methods to Selberg's trace formula through Laplacian deformations and Fokker-Planck operators.
The Hypoelliptic Laplacian in Real and Complex Geometry
Explores the hypoelliptic Laplacian's construction and applications in real and complex geometry, focusing on de Rham and Dolbeault theories and its role as a geometric Fokker-Planck operator.
Uniqueness of the Measure of Maximal Entropy for Geodesic Flows on Surfaces with Caps
Explore analytic techniques in dynamics and geometry, focusing on uniqueness of maximal entropy measures for geodesic flows on capped surfaces.
Geodesic Flows of Alpha Connections for Statistical Transformation Models on Compact Lie Groups
Explore geodesic flows of α connections in statistical transformation models on compact Lie groups, advancing understanding of geometric structures in statistics.
Topology of Horocyclic Flow on Geometrically Infinite Surfaces - Part 2
Explore advanced concepts in horocyclic flow topology on geometrically infinite surfaces, building upon previous knowledge and delving into complex mathematical theories.
Thurston's Asymmetric Metrics for Anosov Representations
Explore Thurston's asymmetric metric and its generalization to Anosov representations, applying thermodynamical formalism to construct pressure metrics on representation spaces.
Transverse Groups: Metric and Flow Space Analysis
Explore transverse groups, their metric and flow spaces, and new results in this advanced mathematical talk on discrete group theory and hyperbolic 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.
Ruelle Zeta at Zero for Nearly Hyperbolic 3-Manifolds
Explorez la fonction zêta de Ruelle pour les variétés presque hyperboliques en 3D, en examinant ses propriétés spectrales et géométriques.