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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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A non-ergodic spectral acceleration ground motion model for California developed with random vibration theory
A new approach for creating a non-ergodic pseudo-spectral acceleration ( PSA ) ground-motion model (GMM) is presented, which accounts for the magnitude...
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Ergodic Theory
The evolution of volumes provides useful information about dynamical systems. Conservative systems that conserve volume cannot have attractors, only...
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Ergodic Theory of Multi-layer Interacting Particle Systems
We consider a class of multi-layer interacting particle systems and characterize the set of ergodic probability measures with finite moments. The...
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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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The Ergodic Hypothesis: A Typicality Statement
This paper analyzes the ergodic hypothesis in the context of Boltzmann’s late work in statistical mechanics, where Boltzmann lays the foundations for...
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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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Applying Ergodic Theory to Improve the Noise Performance of DiBerential Chaos Shift Keying
This chapter provides an overview of the state of the art of current chaos communication schemes and introduces the use of signal processing to...
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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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Classical Dynamics and Ergodic Theory
In this chapter the term classical dynamical system will broadly refer to one-parameter families of transformations, or dynamical maps,...
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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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