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Bayesian-calibrated global sensitivity analysis for mathematical models using generative AI. [PDF]
PLoS Comput BiolWang X.
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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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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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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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Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics
2018This volume consists of minicourses notes, survey, research/survey, and research articles that have arisen as an outcome of workshops, research in pairs, and other scientific work held under the auspices of the Jean Morlet Chair at CIRM between August 1, 2016 and January 31, 2017.
Ferenczi, Sébastien +2 more
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Basic Notions of Ergodic Theory and Examples of Dynamical Systems
1989Abstract ergodic theory deals with the measurable actions of groups and semigroups of transformations. This means, from the point of view of applications, that the functions defining such transformations need not satisfy any smoothness conditions and should be only measurable.
I. P. Cornfeld, Ya. G. Sinai
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2006
This chapter presents a tutorial and overview of the interplay among nonlinear dynamical system theory, ergodic theory, and the design and analysis of spreading sequences for CDMA communication systems. We first address some motivational factors in information theory, communication theory, and communication systems to chaotic communication systems ...
Kung Yao, Chi-Chung Chen
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This chapter presents a tutorial and overview of the interplay among nonlinear dynamical system theory, ergodic theory, and the design and analysis of spreading sequences for CDMA communication systems. We first address some motivational factors in information theory, communication theory, and communication systems to chaotic communication systems ...
Kung Yao, Chi-Chung Chen
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Ergodic Theory and Dynamical Systems, 2008
AbstractWe give a correction to the assumption of Theorems 1.12 and 2.6 in the paper [H. Sumi. Semi-hyperbolic fibered rational maps and rational semigroups. Ergod. Th. & Dynam. Sys.26 (2006), 893–922].
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AbstractWe give a correction to the assumption of Theorems 1.12 and 2.6 in the paper [H. Sumi. Semi-hyperbolic fibered rational maps and rational semigroups. Ergod. Th. & Dynam. Sys.26 (2006), 893–922].
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