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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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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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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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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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Real-space observation of ergodicity transitions in artificial spin ice
Nature Communications, 2023 Ever since its introduction by Ludwig Boltzmann, the ergodic hypothesis became a cornerstone analytical concept of equilibrium thermodynamics and complex dynamic processes.
Michael Saccone +6 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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Fraction-of-Time Probability: Advancing Beyond the Need for Stationarity and Ergodicity Assumptions
IEEE Access, 2022 Time series arising from measurements in many fields of physics, engineering, chemistry, biology, and econometrics, are commonly modeled as sample paths from an ensemble which, together with a probability measure, is called a stochastic process ...
Antonio Napolitano, William A. Gardner
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Invariant Finitely Additive Measures for General Markov Chains and the Doeblin Condition
Mathematics, 2023 In this paper, we consider general Markov chains with discrete time in an arbitrary measurable (phase) space. Markov chains are given by a classical transition function that generates a pair of conjugate linear Markov operators in a Banach space of ...
Alexander Zhdanok
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