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15
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Isolated Points and Topological Transitivity

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#general-topology #dynamical-systems #ergodic-theory #topological-dynamics
216
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Topological transitivity+contraction

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#general-topology #dynamical-systems #ergodic-theory #contraction-operator
149
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Characterization of tail $\sigma$-algebra and symmetries of $\{0,1\}^{\mathbb{N}}$

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#probability-theory #ergodic-theory
782
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Ergodic Markov chains and eigenvalues

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#eigenvalues-eigenvectors #markov-chains #ergodic-theory #transition-matrix
144
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Ergodicity of surjective continuous endomorphism of compact abelian group

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#general-topology #topological-groups #ergodic-theory #characters
231
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Equivalence between non-singular vector field without periodic orbits and the irrational flow on a torus.

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#ordinary-differential-equations #lie-groups #dynamical-systems #ergodic-theory
81
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Is this formula for entropy true?

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#ergodic-theory
94
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$\mu $ ergodic $\iff \mathcal{O}^{+}_{\phi}(x)\cap A\neq\emptyset$

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#real-analysis #measure-theory #dynamical-systems #ergodic-theory
642
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How important is ergodic theory in fundamentally understanding statistical mechanics?

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#ergodic-theory #statistical-mechanics
1.1k
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Your Favourite Application of the Birkhoff Ergodic Theorem

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#measure-theory #big-list #applications #ergodic-theory
248
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If $T$ has continuous spectrum and $(f, 1)=0$ then $\mu_{f}$ has no atoms.

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#measure-theory #operator-theory #hilbert-spaces #spectral-theory #ergodic-theory
143
Views

Where does this proof of ergodicity fail?

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#measure-theory #ergodic-theory #invariance #skew-mapping
278
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ergodic system has dense orbits a.e., continuity of T

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#dynamical-systems #ergodic-theory
265
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Density of the sequence $\sqrt2^{\,n}$ modulo 1

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#number-theory #irrational-numbers #ergodic-theory
989
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ergodicity of irrational rotation of product

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#measure-theory #ergodic-theory #skew-mapping

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