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Lecture
Ergodic Theory: Chaos
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Related lectures (28)
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Structure of Measure-Preserving Systems
Covers the abstract structure of measure-preserving systems and aims to understand their classification and ergodic decompositions.
Introduction to Quantum Chaos
Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
Chaos: Irregular Trajectories and Sensitivity to Initial Conditions
Explores chaos, irregular trajectories, and sensitivity to initial conditions in dynamical systems.
A Conjecture of Erdös: Proof by Moreira, Richter and Robertson
Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.
Equidistribution of CM Points
Explores the joint equidistribution of CM points and their properties in ergodic theory and homogeneous dynamics.
FK-Percolation and the Six-Vertex Model: Critical Phenomena
Covers the transition from the six-vertex model to FK-percolation, focusing on critical phenomena and phase transitions in two-dimensional systems.
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Explores the influence of complexity on ergodic properties of symbolic systems, presenting the Curtis-Hedlund-Lyndon Theorem and constructions of minimal subshifts.
Essential Coexistence Phenomenon in Hamiltonian Dynamics
By Yakov Pesin delves into the essential coexistence phenomenon in Hamiltonian dynamics, exploring types I and II and providing examples and proofs.
Applications of Ergodic Theory to Combinatorics
Explores the applications of ergodic theory to combinatorics and number theory, including Szemerédi's Theorem and the Erdős-Kac Theorem.
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