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Dynamic system $f(x) = 2x$ mod $1$

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#dynamical-systems #binary #ergodic-theory #chaos-theory
211
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Which of the open problems in Halmos's Lectures on Ergodic Theoy are still open today?

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#reference-request #ergodic-theory
323
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Ergodic action of dense subgroup

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#lie-groups #lebesgue-measure #group-actions #ergodic-theory
166
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Equivalence of definitions of ergodic action

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#group-theory #measure-theory #group-actions #ergodic-theory
127
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Strong Folner condition(SFC) implies the existence of a left Følner sequence.

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#ergodic-theory #semigroups #ramsey-theory #amenability
662
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Topological conjugacy between dyadic map and tent map

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#general-topology #measure-theory #ergodic-theory
1.9k
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What is the difference between ergodicity and the law of large numbers?

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#probability #stochastic-processes #markov-chains #ergodic-theory #law-of-large-numbers
39
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How to interpret a theorem stating that orbits are "uniform on average"

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#probability #ergodic-theory
189
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Countable open cover up to a null set

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#measure-theory #metric-spaces #ergodic-theory #borel-sets
157
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Examples of non-abelian simply connected nilpotent Lie groups.

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#group-theory #lie-groups #ergodic-theory
152
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Markov measure on cylinders

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#measure-theory #dynamical-systems #markov-chains #ergodic-theory
343
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What is the mixing time of a random walk of a rook

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#probability #markov-chains #random-walk #ergodic-theory #algebraic-graph-theory
57
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The action of $SO(n + 1)$ on $S^n$ is ergodic

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#group-theory #functional-analysis #measure-theory #group-actions #ergodic-theory
117
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Can ergodicity be checked by restricting attention to continuous maps?

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#measure-theory #ergodic-theory
672
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Recurrent Markov chain has an invariant measure

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#probability-theory #measure-theory #markov-chains #ergodic-theory

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