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What ergodicity means for you [PDF]
Developmental Cognitive NeuroscienceThis paper explores the relation between within-person and between-person research designs using the concept of ergodicity from statistical mechanics in physics.
Michael D. Hunter +2 more
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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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Ergodicity Breaking and Self-Destruction of Cancer Cells by Induced Genome Chaos
Entropy, 2023 During the progression of some cancer cells, the degree of genome instability may increase, leading to genome chaos in populations of malignant cells. While normally chaos is associated with ergodicity, i.e., the state when the time averages of relevant ...
Sergey Shityakov +3 more
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Constraint-induced breaking and restoration of ergodicity in spin-1 PXP models
Physical Review Research, 2021 Eigenstate thermalization hypothesis (ETH) has played a pivotal role in understanding ergodicity and its breaking in isolated quantum many-body systems. The recent experiment on 51-atom Rydberg quantum simulator by Bernien et al.
Bhaskar Mukherjee +2 more
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Closed Gordon – Newell network with single-line poles and exponentially limited request waiting time
Informatika, 2023 Objectives. An exponential queuing network with single-line poles is considered, which differs from the Gordon – Newell network only that the waiting time for service requests at the poles of the network is a random variable with conditional distribution
Yu. V. Malinkovsky, V. A. Nemilostivaya
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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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Philosophies, 2021 Educational assessments, specifically standardized and normalized exams, owe most of their foundations to psychological test theory in psychometrics. While the theoretical assumptions of these practices are widespread and relatively uncontroversial in ...
Patrick Francis Bloniasz
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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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Velocity Multistability vs. Ergodicity Breaking in a Biased Periodic Potential
Entropy, 2022 Multistability, i.e., the coexistence of several attractors for a given set of system parameters, is one of the most important phenomena occurring in dynamical systems.
Jakub Spiechowicz +2 more
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Entropy and Ergodicity of Boole-Type Transformations
Entropy, 2021 We review some analytic, measure-theoretic and topological techniques for studying ergodicity and entropy of discrete dynamical systems, with a focus on Boole-type transformations and their generalizations.
Denis Blackmore +3 more
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