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Nonequilibrium Statistical Mechanics of Weakly Ergodic Systems
The properties of the Gibbs ensembles of Hamiltonian systems describing the motion along geodesics on a compact configuration manifold are discussed....
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Statistical constructions in quantum information theory
We introduce a notion of strategies based on averaging for nonlocal games in quantum information theory. These so-called statistical strategies come...
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A Method of Defining Central and Gibbs Measures and the Ergodic Method
AbstractWe formulate a general statement of the problem of defining invariant measures with certain properties and suggest an ergodic method of...
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Ergodic Theorems for Laminations and Foliations: Recent Results and Perspectives
This report discusses recent results as well as new perspectives in the ergodic theory for Riemann surface laminations, with an emphasis on singular...
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Permanence via invasion graphs: incorporating community assembly into modern coexistence theory
To understand the mechanisms underlying species coexistence, ecologists often study invasion growth rates of theoretical and data-driven models....
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Ergodic Theory and Kronecker’s Theorems
Measure theory, sometimes, brings out the existence of specific elements by giving a positive measure to the set of such objects. For want of...
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Generalized kinetic theory of coarse-grained systems. I. Partial equilibrium and Markov approximations
The general kinetic theory of coarse-grained systems is presented in the abstract formalism of communication theory developed by Shannon and Weaver,...
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Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators II
The iterates of an operator and their limit are studied in ergodic theory, approximation theory and other related fields. In this paper we continue...
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The Fejér Integrals and the Von Neumann Ergodic Theorem with Continuous Time
The Fejér integrals for finite measures on the real line and the norms of the deviations from the limit in the von Neumann ergodic theorem are...
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Realizing ergodic properties in zero entropy subshifts
A subshift with linear block complexity has at most countably many ergodic measures, and we continue the study of the relation between such...
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Testability in group theory
This paper is a journal counterpart to [5], in which we initiate the study of property testing problems concerning a finite system of relations E ...
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On the bounded cohomology of ergodic group actions
In this note we show existence of bounded, continuous, transitive cocycles over a transitive action by homeomorphisms of any finitely generated group...
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Ergodic Approach to Robust Optimization and Infinite Programming Problems
In this work, we show the consistency of an approach for solving robust optimization problems using sequences of sub-problems generated by ergodic...
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Hyperbolic Theory
This chapter is an introduction to the theory of hyperbolic structures in differential equations. The basic idea that is discussed might be called...
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Exploring Mathematical Analysis, Approximation Theory, and Optimization 270 Years Since A.-M. Legendre’s Birth
This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to...
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Parameter estimation for ergodic linear SDEs from partial and discrete observations
We consider a problem of parameter estimation for the state space model described by linear stochastic differential equations. We assume that an...
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