Masato Tsujii, Kyushu Universityįourier transforms of measures on the Brownian graph - Jonathan Fraser, University of Manchester The spectrum of semi-classical transfer operator for expanding semi-flows with holes. Spectral gaps via additive combinatorics - Semyon Dyatlov, MIT Quantum chaos and the thermodynamical formalism - Stephane Nonnenmacher, Université Paris-sud Martingale methods in the study of almost everywhere convergence of ergodic series - Ai-Hua Fan, Université de Picardie Jules Verne Universality of the large deviation principle in one-dimensional dynamics - Yong Moo Chung, Hiroshima Universityĭecay of correlations in fast-slow partially hyperbolic systems - Jacopo de Simoi, University of Toronto Skeletons for transitive fibered maps - Katrin Gelfert, Federal University of Rio de Janeiro (UFRJ) Lorenzo Diaz, Pontifical Catholic University of Rio de Janeiro Unique equilibrium states for geodesic flows in nonpositive curvature - Todd Fisher, Brigham Young UniversityĬriteria for zero averages and applications in partially hyperbolic dynamics. Non-uniform specification properties, thermodynamic formalism, and towers - Vaughn Climenhaga, University of Houston Non-uniform hyperbolicity, symbolic dynamics, and applications - Yuri Lima, University of Paris-Sudįiniteness of measures maximizing the entropy for surface diffeomorphisms - Sylvain Crovisier, University of Paris Non-differentiability points for topological conjugaicies of countable branch Markov maps - Thomas Jordan, University of Bristol Thurston eigenvalues- a spectral gap - Sarah Koch, University of Michigan, Ann ArborĬontinuity of core entropy of quadratic polynomials - Giulio Tiozzo, Yale University New developments in smooth rigidity of lattice actions. Prime number theorems and holonomies for hyperbolic rational maps - Hee Oh, Yale University The goal of this conference is to bring together experts studying fractal objects in dynamics in order to review recent progress in the field and catalyze further research.Įntropies on covers of compact manifolds - Francois Ledrappier, University of Notre Dame Paris It originated in statistical mechanics, but currently it has applications to many areas of mathematics including spectral theory, hyperbolic geometry and probability theory. Thermodynamical formalism is a powerful tool for studying dimensions of fractal objects. Fractal objects are ubiquitous in dynamics, including invariant sets, invariant measures, invariant foliations et cetera. The Lorentz attractor and Smale horseshoe are typical examples of fractal invariant sets for dynamical systems. One of the most common mechanisms of stochasticity is the Smale horseshoe appearing near a homoclinic intersection. One early example of a chaotic system was Lorenz equation used by meteorologist Edward Lorenz as a simplified model of atmospheric convection. A surprising discovery of 20th century mathematics is that many deterministic systems exhibit random behavior.
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