Results 41 to 50 of about 24,077 (241)
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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International Journal of Applied Mathematics and Computer Science, 2018 In this paper we present a method for the computation of convergence bounds for four classes of multiserver queueing systems, described by inhomogeneous Markov chains.
Zeifman Alexander +5 more
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Topological Wiener-Wintner theorems for amenable operator semigroups
, 2013 Inspired by topological Wiener-Wintner theorems we study the mean ergodicity of amenable semigroups of Markov operators on $C(K)$ and show the connection to the convergence of strong and weak ergodic nets.
Schreiber, Marco
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Weak ergodicity breaking in Josephson-junction arrays
Physical Review B, 2022 19 pages, 14 ...
Angelo Russomanno +2 more
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Many-body localization in the interpolating Aubry-André-Fibonacci model
Physical Review Research, 2021 We investigate the localization properties of a spin chain with an antiferromagnetic nearest-neighbor coupling, subject to an external quasiperiodic on-site magnetic field. The quasiperiodic modulation interpolates between two paradigmatic models, namely
Antonio Štrkalj +3 more
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On Rationally Ergodic and Rationally Weakly Mixing Rank-One Transformations
, 2013 We study the notions of weak rational ergodicity and rational weak mixing as defined by Jon Aaronson. We prove that various families of infinite measure-preserving rank-one transformations possess (or do not posses) these properties, and consider their ...
Bowles +6 more
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Weak ergodic averages over dilated measures [PDF]
Ergodic Theory and Dynamical Systems, 2019 Let$m\in \mathbb{N}$and$\mathbf{X}=(X,{\mathcal{X}},\unicode[STIX]{x1D707},(T_{\unicode[STIX]{x1D6FC}})_{\unicode[STIX]{x1D6FC}\in \mathbb{R}^{m}})$be a measure-preserving system with an$\mathbb{R}^{m}$-action. We say that a Borel measure$\unicode[STIX]{x1D708}$on$\mathbb{R}^{m}$is weakly equidistributed for$\mathbf{X}$if there exists$A\subseteq ...
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Statistical Equilibrium Principles in 2D Fluid Flow: From Geophysical Fluids to the Solar Tachocline
Entropy, 2022 An overview is presented of several diverse branches of work in the area of effectively 2D fluid equilibria which have in common that they are constrained by an infinite number of conservation laws.
Peter B. Weichman, John Bradley Marston
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In vivo anomalous diffusion and weak ergodicity breaking of lipid granules
, 2011 Combining extensive single particle tracking microscopy data of endogenous lipid granules in living fission yeast cells with analytical results we show evidence for anomalous diffusion and weak ergodicity breaking.
A. N. Kolmogorov +10 more
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