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Are orbits of a Hamiltonian flow always measurable with measure zero?

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#measure-theory #lebesgue-measure #classical-mechanics #ergodic-theory #symplectic-geometry
174
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Is an AR(1) process with Bernoulli errors mixing or ergodic?

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#dynamical-systems #ergodic-theory #time-series #stationary-processes #mixing
19
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References for distance on the space of automorphisms of probability space

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#functional-analysis #ergodic-theory
46
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Random Processes Invariant event

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#probability #measure-theory #random-variables #ergodic-theory #measurable-functions
73
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Existence of an isomorphism between $X$ and $Y$ when $g(X)=f(Y)$

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#probability-theory #measure-theory #ergodic-theory #diffeomorphism
223
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Measure on the set of orbits of a flow via the von Neumann crossed products?

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#measure-theory #reference-request #topological-groups #ergodic-theory #von-neumann-algebras
52
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Best references for a more intuitive introduction to Dynamical Systems, Ergodic Theory and Quantum Chaos

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#reference-request #dynamical-systems #book-recommendation #ergodic-theory #chaos-theory
36
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Embedded subshift in $[0,1]$ has dimension $0$?

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#dynamical-systems #entropy #ergodic-theory #dimension-theory-analysis #hausdorff-measure
27
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Seeking Help with a Proof Step in Measure-Preserving Systems and Kronecker Factors

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#measure-theory #eigenvalues-eigenvectors #dynamical-systems #ergodic-theory
176
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Expanding endomorphism is mixing - proof details

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#dynamical-systems #ergodic-theory #mixing
52
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Intuition of the concepts behind Ergodic Theory

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#reference-request #dynamical-systems #book-recommendation #ergodic-theory #topological-dynamics
41
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Conjugacy of expansive flows

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#dynamical-systems #group-actions #ergodic-theory #topological-dynamics
69
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Why do we need a $T$-invariant probability measure to define ergodicity?

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#probability-theory #dynamical-systems #ergodic-theory
23
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Ergodic transformations form a $G_\delta$ set in the weak topology of the automorphism group.

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#topological-groups #ergodic-theory #descriptive-set-theory #baire-category
78
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Closed G-invariant set in a metric space contained in an open G-invariant set?

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#real-analysis #group-actions #ergodic-theory

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