A Spectral Approach for Quenched Limit Theorems for Random Expanding Dynamical Systems
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-017-3083-7
Abstract: We prove quenched versions of (i) a large deviations principle (LDP), (ii) a central limit theorem (CLT), and (iii) a local central limit theorem for non-autonomous dynamical systems. A key advance is the extension of… read more here.
Keywords: sigma omega; limit; central limit; limit theorem ... See more keywords
Coordination in gait: Demonstration of a spectral approach
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DOI: 10.1080/02640414.2017.1416974
Abstract: ABSTRACT Many important notions in Life Sciences are linked with the idea of cycles, periodicity, fluctuations and transitions. The aim of this paper is to use spectral analysis in a unique way to study and… read more here.
Keywords: coordination; demonstration spectral; gait demonstration; spectral approach ... See more keywords
A spectral approach for quenched limit theorems for random hyperbolic dynamical systems
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7943
Abstract: We extend the recent spectral approach for quenched limit theorems developed for piecewise expanding dynamics under general random driving to quenched random piecewise hyperbolic dynamics. For general ergodic sequences of maps in a neighborhood of… read more here.
Keywords: limit theorems; approach quenched; limit; spectral approach ... See more keywords