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Simons Semester on Dynamics
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- YouTube
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Delve into advanced concepts of equidistribution theory, exploring ergodic theorems, measure preservation, and flow dynamics on the 2-torus through detailed mathematical proofs and arguments.
- YouTube
- 1 hour
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Simons Semester on Dynamics
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Delve into smooth ergodic theory, exploring statistical behavior of orbits, hyperbolic systems, and stable/unstable foliations. Learn about SRB measures and their role in understanding dynamical systems.
- YouTube
- 1 hour 8 minutes
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Delve into smooth ergodic theory, exploring stable/unstable foliations in hyperbolic systems and their role in understanding statistical behaviors, SRB measures, and Hopf's argument for ergodicity.
- YouTube
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Delve into the rigidity theory of horocycle flows, exploring Ratner's Rigidity Theorem and its implications for dynamical systems in hyperbolic geometry and ergodic theory.
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Delve into advanced concepts of ergodic theory, including measure preservation, Birkhoff's theorem, and ergodicity of flows on the 2-torus through mathematical proofs and key theorems.
- YouTube
- 43 minutes
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Some Arguments in Equidistribution - Lecture 8

Delve into advanced concepts of ergodic theory, including measure preservation, Birkhoff's theorem, and hyperbolic automorphisms through practical examples and mathematical proofs.
- YouTube
- 1 hour
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- Free Video
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Delve into measure-preserving dynamics and ergodic theory, exploring Birkhoff's theorem, irrational circle rotations, and ergodicity concepts through detailed mathematical proofs and key theorems.
- YouTube
- 1 hour 2 minutes
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Delve into advanced concepts of equidistribution theory, exploring measure preservation, ergodicity, and the Birkhoff ergodic theorem through practical examples and mathematical proofs.
- YouTube
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Delve into ergodic theory and mixing properties of horocycle flows, exploring their smooth time-changes, rigidity theorems, and applications beyond SL2(R) in dynamical systems.
- YouTube
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Delve into advanced concepts of ergodic theory, including measure preservation, Birkhoff's theorem, and ergodicity of flows on the 2-torus, with applications to hyperbolic automorphisms.
- YouTube
- 57 minutes
- On-Demand
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Delve into random matrix products theory, exploring stationary probability measures, Lyapunov exponents, and their applications in dynamical systems and ergodic theory through advanced mathematical concepts.
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Delve into ergodic and mixing properties of horocycle flows, exploring their time-changes, asymptotics, and fundamental mathematical concepts in dynamical systems theory.
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