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Ergodic Theory
This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory,...
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IP-systems and Recurrence in Ergodic Theory: an Update
In contemporary dynamical systems theory one studies families of transformations acting on a space, the structure of the family usually that of a...
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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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Cayley graphs that have a quantum ergodic eigenbasis
We investigate which finite Cayley graphs admit a quantum ergodic eigenbasis, proving that this holds for any Cayley graph on a group of size n for...
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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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Subadditive Ergodic Theory
Subadditivity of a sequence of positive real numbers x 1, … refers to the property x m+n ≤ x m + x n, n ≥ 1. For such sequences, it is a calculus...
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On the Application of Ergodic Theory to an Alternating Series Expansion for Real Numbers
By considering a general alternating series algorithm introduced by A. and J. Knopfmacher according to which every real number may be expressed by...
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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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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...
