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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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Convergence Rate of Euler–Maruyama Scheme to the Invariant Probability Measure Under Total Variation Distance for the SDEs [PDF]
EntropyThis article shows the geometric decay rate of the Euler–Maruyama scheme for a one-dimensional stochastic differential equation towards its invariant probability measure under total variation distance.
Yuke Wang, Yinna Ye
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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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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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Proceedings of the American Mathematical Society, 1964 3. —-, Tests for the superadditivily of functions, Proc. Amer. Math. Soc. 13 (1962), 126-130. 4. A. Denjoy, Sur une propriete des fonctions derivees, Enseignement Math. 18 (1916), 320-328. 5. E. Hilie and R. Phillips, Functional analysis and semigroups, Chapter VII, pp. 237-255, Amer. Math. Soc. Colloq. Publ. Vol. 31, Amer. Math. Soc, Providence, R. I.,
Dowker, Y. N., Lederer, G.
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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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