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Mean Ergodic Shadowing
We introduce and study a new variant of shadowing namely mean ergodic shadowing. We establish relationship of this variant with several other...
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Transitive and Mean Ergodic Operators
In this chapter, an introduction to the theory of transitive and mean ergodic operators on locally convex spaces is given. The relation of transitive...
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Mean Ergodic Weighted Shifts on Köthe Echelon Spaces
Necessary and sufficient conditions are given for mean ergodicity, power boundedness, and topologizability for weighted backward shift and weighted...
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Ergodic mean field games: existence of local minimizers up to the Sobolev critical case
We investigate the existence of solutions to viscous ergodic Mean Field Games systems in bounded domains with Neumann boundary conditions and local,...
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Analysis of the Finite-State Ergodic Master Equation
Mean field games model equilibria in games with a continuum of players as limiting systems of symmetric n -player games with weak interaction between...
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Slow Convergences of Ergodic Averages
AbstractBirkhoff’s theorem asserts that, for an ergodic automorphism, time averages converge to the space average. Krengel showed that, for a...
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A Mean Ergodic Theorem for Nonexpansive Map**s in Hadamard Spaces
In this paper, we prove a mean ergodic theorem for nonexpansive map**s in Hadamard (nonpositive curvature complete metric) spaces, which extends...
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Ergodic decompositions of geometric measures on Anosov homogeneous spaces
Let G be a connected semisimple real algebraic group and Γ a Zariski dense Anosov subgroup of G with respect to a minimal parabolic subgroup P . Let N ...
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Concepts of almost periodicity and ergodic theorems in locally convex spaces
We wish to investigate mean ergodic theorems for generalizations of almost periodic functions on semigroups, as well as for semigroups of operators...
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Birkhoff’s Ergodic Theorem
In the context of stochastic processes, ergodic theory relates the long-run “time-averages” such as the sample mean of an evolving strictly...
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Ergodic decompositions of Dirichlet forms under order isomorphisms
We study ergodic decompositions of Dirichlet spaces under intertwining via unitary order isomorphisms. We show that the ergodic decomposition of a...
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Asymptotically efficient estimation of Ergodic rough fractional Ornstein-Uhlenbeck process under continuous observations
We consider the problem of asymptotically efficient estimation of drift parameters of the ergodic fractional Ornstein-Uhlenbeck process under...
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Tied-down occupation times of infinite ergodic transformations
We prove distributional limit theorems (conditional and integrated) for the occupation times of certain weakly mixing, pointwise dual ergodic...
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Invariant Measures for Discontinuous Skew-Product Actions of Amenable Semigroups and Some Ergodic Results
In this paper, for skew-product actions (SPAs) of amenable semigroups (and commutative semigroups) with discontinuity from the point of view of...
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Exponent of Convergence of a Sequence of Ergodic Averages
AbstractFor a sequence of ergodic averages, we consider its exponent of convergence, which is a numerical characteristic of two-sided power-law...
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Probability and Moment Inequalities for Additive Functionals of Geometrically Ergodic Markov Chains
In this paper, we establish moment and Bernstein-type inequalities for additive functionals of geometrically ergodic Markov chains. These...