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Indagationes Mathematicae, 2021 Ergodic systems, being indecomposable are important part of the study of dynamical systems but if a system is not ergodic, it is natural to ask the following question: Is it possible to split it into ergodic systems in such a way that the study of the former reduces to the study of latter ones?
Jain, Sakshi, Faisal, Shah
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Ergodic Subspace Analysis [PDF]
Journal of Intelligence, 2020 Properties of psychological variables at the mean or variance level can differ between persons and within persons across multiple time points. For example, cross-sectional findings between persons of different ages do not necessarily reflect the development of a single person over time.
von Oertzen, Timo +2 more
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Transactions of the American Mathematical Society, 1989 Using the graph transform method, we give a geometric treatment of Pesin’s invariant manifold theory. Beyond deriving the existence, uniqueness, and smoothness results by Fathi, Herman, and Yoccoz our method allows us to do four things: optimally conserve smoothness, deal with endomorphisms, prove absolute continuity of the Pesin laminations, and ...
Pugh, Charles, Shub, Michael
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Games, 2016 Weak conditions are provided under which society’s long-run distribution of wealth is independent of initial asset holdings.
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Ergodic descriptors of non-ergodic stochastic processes
Journal of The Royal Society Interface, 2022 The stochastic processes underlying the growth and stability of biological and psychological systems reveal themselves when far-from-equilibrium. Far-from-equilibrium, non-ergodicity reigns. Non-ergodicity implies that the average outcome for a group/ensemble (i.e. of representative organisms/minds) is not necessarily a reliable estimate of the average
Madhur Mangalam, Damian G. Kelty-Stephen
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Ergodic theorem, ergodic theory, and statistical mechanics [PDF]
Proceedings of the National Academy of Sciences, 2015 This perspective highlights the mean ergodic theorem established by John von Neumann and the pointwise ergodic theorem established by George Birkhoff, proofs of which were published nearly simultaneously in PNAS in 1931 and 1932. These theorems were of great significance both in mathematics and in statistical mechanics.
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Ergodic Poisson splittings [PDF]
The Annals of Probability, 2020 In this paper we study splittings of a Poisson point process which are equivariant under a conservative transformation. We show that, if the Cartesian powers of this transformation are all ergodic, the only ergodic splitting is the obvious one, that is, a collection of independent Poisson processes.
Janvresse, Elise +2 more
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Ergodicity of eigenfunctions for ergodic billiards [PDF]
Communications in Mathematical Physics, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zelditch, Steven, Zworski, Maciej
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Uniformly Ergodic Multioperators [PDF]
Transactions of the American Mathematical Society, 1995 A version of the uniform ergodic theorem valid for commuting multioperators is given.
Mbekhta, M., Vasilescu, F.-H.
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