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Titlebook: New Trends in Lyapunov Exponents; NTLE, Lisbon, Portug João Lopes Dias,Pedro Duarte,Maria Joana Torres Conference proceedings 2023 The Edit

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书目名称New Trends in Lyapunov Exponents
副标题NTLE, Lisbon, Portug
编辑João Lopes Dias,Pedro Duarte,Maria Joana Torres
视频video
概述Features recent developments in the study of Lyapunov exponents in dynamical systems.Explores applications to other areas such as mathematical physics.Gathers peer-reviewed surveys by leading experts
丛书名称CIM Series in Mathematical Sciences
图书封面Titlebook: New Trends in Lyapunov Exponents; NTLE, Lisbon, Portug João Lopes Dias,Pedro Duarte,Maria Joana Torres Conference proceedings 2023 The Edit
描述.This volume presents peer-reviewed surveys on new developments in the study of Lyapunov exponents in dynamical systems and its applications to other areas, such as mathematical physics...Written by leading experts in their fields, the contributions are based upon the presentations given by invited speakers at the “New Trends in Lyapunov Exponents” workshop held in Lisbon, Portugal, February 7–11, 2022. The works focus on the concept of Lyapunov exponents in their various manifestations in dynamical systems along with their applications to mathematical physics and other areas of mathematics. The papers reflect the spirit of the conference of promoting new connections among different subjects in dynamical systems..This volume aims primarily at researchers and graduate students working in dynamical systems and related fields, serving as an introduction to active fields of research and as a review of recent results as well..
出版日期Conference proceedings 2023
关键词Lyapunov exponents; linear cocycles; large deviations; random dynamical systems; Schrodinger operators; N
版次1
doihttps://doi.org/10.1007/978-3-031-41316-2
isbn_softcover978-3-031-41318-6
isbn_ebook978-3-031-41316-2Series ISSN 2364-950X Series E-ISSN 2364-9518
issn_series 2364-950X
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Lyapunov Exponents for Linear Homogeneous Differential Equations,ng the orbit of a flow . defined on a closed manifold . and .. We are mainly interested in the Lyapunov exponents associated to most of the cocycles chosen when one allows variation of the parameters . and .. The topology used to compare perturbations turn to be crucial to the conclusions.
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An Invitation to , Cocycles Over Random Dynamics,The purpose of these notes is to discuss the advances in the theory of Lyapunov exponents of linear . cocycles over hyperbolic maps. The main focus is around results regarding the positivity of the Lyapunov exponent and the regularity of this function with respect to the underlying data.
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978-3-031-41318-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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New Trends in Lyapunov Exponents978-3-031-41316-2Series ISSN 2364-950X Series E-ISSN 2364-9518
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