Results 1 to 10 of about 23,064 (196)
Ergodicity Breaking and Self-Destruction of Cancer Cells by Induced Genome Chaos [PDF]
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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Local stability of ergodic averages [PDF]
Transactions of the American Mathematical Society, 2008 The mean ergodic theorem is equivalent to the assertion that for every function K and every epsilon, there is an n with the property that the ergodic averages A_m f are stable to within epsilon on the interval [n,K(n)]. We show that even though it is not
Avigad, Jeremy +2 more
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Learning Ergodic Averages in Chaotic Systems [PDF]
Computational Science – ICCS 202020th International Conference, 2020 We propose a physics-informed machine learning method to predict the time average of a chaotic attractor. The method is based on the hybrid echo state network (hESN). We assume that the system is ergodic, so the time average is equal to the ergodic average.
Huhn F, Magri L.
europepmc +5 more sources
Multifractal Analysis of Multiple Ergodic Averages [PDF]
Comptes Rendus. Mathématique, 2011 In this paper we present a complete solution to the problem of multifractal analysis of multiple ergodic averages in the case of symbolic dynamics for functions of two variables depending on the first coordinate.Comment: 5 pages, to appear in Comptes ...
Fan, Ai-Hua, Schmeling, Joerg, Wu, Meng
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Bounds for Estimators of Ergodic Averages [PDF]
International Journal of Mathematical Analysis, 2013 We consider different ergodic averages and estimate the measure of the set of points in which the averages apart from a given value. The cases considered are empirical measures of cylinders in symbolic spaces and averages of maps given a kind Lyapunov ...
Meson, Alejandro Mario +1 more
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Equipping mathematical models for hospital dynamics using information theory [PDF]
npj Digital MedicineWe propose metrics from information theory to characterize the clinical and operational dynamics of hospitals. Ergodicity, the equality of time- and space-averages within a dynamical system, ensures its stationarity.
Jeremy A. Balch +15 more
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Multiparameter ergodic Cesàro-α averages [PDF]
Colloquium Mathematicum, 2015 Let (X,F,ν) be a σ-finite measure space. Associated with k Lamperti operators on Lp(ν), T1,…,Tk, nˉ=(n1,…,nk)∈Nk and αˉ=(α1,…,αk) with 01/α∗ where α∗=min1≤j≤kαj. In the limit case p=1/α∗, we prove that the averages Rnˉ,αˉf converge almost everywhere on X
Bernardis, Ana Lucia +2 more
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Randomly perturbed ergodic averages [PDF]
Proceedings of the American Mathematical Society, Series B, 2021 Convergence properties of random ergodic averages have been extensively studied in the literature. In these notes, we exploit a uniform estimate by Cohen \& Cuny who showed convergence of a series along randomly perturbed times for functions in $L^2$ with $\int \max(1,\log (1+|t|)) d ...
JaeYong Choi, Karin Reinhold-Larsson
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On the minimum ergodic average and minimal systems
Cubo, 2022 We prove some equivalences associated with the case when the average lower time is minimal. In addition, we characterize the minimal systems by means of the positivity of invariant measures on open sets and also the minimum ergodic averages.
Manuel Saavedra, Helmuth Villavicencio
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Computing the speed of convergence of ergodic averages and pseudorandom points in computable dynamical systems [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 A pseudorandom point in an ergodic dynamical system over a computable metric space is a point which is computable but its dynamics has the same statistical behavior as a typical point of the system. It was proved in [Avigad et al.
Stefano Galatolo +2 more
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