Results 211 to 220 of about 13,145 (245)
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Ergodicity and Ergodic Points

2004
The problem of determining which sets are visited with defined frequency by the motions of a dynamical system (Ω, S) can be satisfactorily solved in the case of particularly simple systems; for instance in the case in which \(S = {S_{{t_0}}}\) and (S t )t∈ℝ is a Hamiltonian flow which is analytically integrable on a region W ⊂ ℝ2r and Ω = W, cf ...
Giovanni Gallavotti   +2 more
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Ergodicity/non-ergodicity or else?

2019
Throughout most of his writings Paul Davidson has argued that Keynes broke away from the classical mainstream understanding of his time by rejecting three crucial classical axioms, one of which was ergodicity and acknowledge non-ergodicity. As such, to Davidson, as to a Post Keynesian, one must accept non-determinism if one correctly wants to ...
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Ergodic Theorems and Ergodic Decomposition for Markov Chains

Acta Applicandae Mathematica, 1998
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Hernández-Lerma, Onésimo   +1 more
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Criteria for ergodicity, exponential ergodicity and strong ergodicity of Markov processes

Journal of Applied Probability, 1981
For regular Markov processes on a countable space, we provide criteria for the forms of ergodicity in the title in terms of the existence of solutions to inequalities involving the Q-matrix of the process. An application to birth-death processes is given.
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Asymptotically Ergodic Markov Functionals of an Ergodic Process

Theory of Probability & Its Applications, 1995
Summary: Let \(X(t)\) be a homogeneous Markov process given on a state space \((E, {\mathcal B})\) and having an invariant distribution \(\pi (\cdot)\). Let \(\{\xi_n (t)\}\) be a sequence of cut-off Markov functionals with killing times \(\{\zeta_n\}\) and a set of values \(I = \{1,2, \dots, d\}\) which converges to a trivial functional with a ...
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Understanding ergodicity

Integers, 2011
Summary: In this article I try to explain some aspects of the nature of ergodic theory, and in particular why results concerning dynamical averages are interesting, and what we feel to be the natural proofs of convergence of such averages.
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On the Ergodic Theorems

American Journal of Mathematics, 1947
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