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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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Out-of-Domain Generalization in Dynamical Systems Reconstruction
International Conference on Machine LearningIn science we are interested in finding the governing equations, the dynamical rules, underlying empirical phenomena. While traditionally scientific models are derived through cycles of human insight and experimentation, recently deep learning (DL ...
Niclas Alexander Göring +4 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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On Stability of Discrete Dynamical Systems: From Global Methods to Ergodic Theory Approaches
Journal of Dynamics and Differential Equations, 2020D. Dragičević, A. L. Sasu, B. Sasu
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Applications of Chaotic Dynamical Systems and Ergodic Theory to Spread Spectrum Sequences Design
2002Abstract In the last decade, increasing research investigations on spread spectrum communications have addressed direct sequence code division multiple access (DS-CDMA) systems, where all users transmit on the same band at the same time and are distingnished only by means of a code signature of spreading sequence.
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Dynamical Systems and Ergodic Theory: Interval maps
, 1998M. Pollicott, M. Yuri
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Dynamical Systems and Ergodic Theory: Invariant measures
, 1998M. Pollicott, M. Yuri
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