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Decay of Multi-point Correlation Functions in Z d. [PDF]
Commun Math PhysHan R, Yang F.
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Stochastic analogues of ergodic theory of differentiable dynamical systems and related topics (Perspectives of studies on random/non-autonomous dynamical systems: theory and applications)openaire
On the Dynamic and Ergodic Properties of the XY-Model (Recent development in gauge theory and integrable systems )openaire
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Dynamical Systems and Ergodic Theory
1998This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience.
Mark Pollicott, Michiko Yuri
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Design of spread-spectrum sequences using chaotic dynamical systems and ergodic theory
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001Summary: A new-design methodology for the design of optimal spread-spectrum sequences for asynchronous code-division multiple access (A-CDMA) and chip-synchronous CDMA (CS-CDMA) systems is proposed. We derive general results on the partial auto-correlation function of the optimal spreading sequences for CS-CDMA and A-CDMA systems with respect to the ...
Chen, Chi-Chung +3 more
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Consistent Long-Term Forecasting of Ergodic Dynamical Systems
International Conference on Machine Learning, 2023We study the evolution of distributions under the action of an ergodic dynamical system, which may be stochastic in nature. By employing tools from Koopman and transfer operator theory one can evolve any initial distribution of the state forward in time,
Prune Inzerilli +4 more
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Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby
, 2016 J. Auslander +2 more
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Transition state theory and dynamical corrections in ergodic systems
Nonlinearity, 2006The results of transition state theory are derived rigorously in the general context of ergodic dynamical systems defined by a vector field on a Riemannian manifold. A new perspective on how to compute the dynamical corrections to the transition state theory transition frequency is given.
Fabio A Tal, Eric Vanden-Eijnden
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