03686nam 22006375 450 991075507450332120231028171123.03-031-41316-410.1007/978-3-031-41316-2(MiAaPQ)EBC30832469(Au-PeEL)EBL30832469(DE-He213)978-3-031-41316-2(PPN)272916528(EXLCZ)992857270140004120231028d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierNew Trends in Lyapunov Exponents[electronic resource] NTLE, Lisbon, Portugal, February 7–11, 2022 /edited by João Lopes Dias, Pedro Duarte, José Pedro Gaivão, Silvius Klein, Telmo Peixe, Jaqueline Siqueira, Maria Joana Torres1st ed. 2023.Cham :Springer International Publishing :Imprint: Springer,2023.1 online resource (184 pages)CIM Series in Mathematical Sciences,2364-9518Print version: Dias, João Lopes New Trends in Lyapunov Exponents Cham : Springer International Publishing AG,c2023 9783031413155 Preface -- Lyapunov Exponents for Linear Homogeneous Differential Equations -- An invitation to SL2(R) cocycles over random dynamics -- Randomness Versus Quasi-Periodicity -- Hyperbolicity or Zero Lyapunov Exponents for C2-Hamiltonians -- Generalized Lyapunov exponents and aspects of the theory of deep learning -- On the Multifractal Formalism of Lyapunov Exponents: A Survey of Recent Results -- The Continuity Problem of Lyapunov Exponents -- Some Questions and Remarks on Lyapunov Irregular Behavior for Linear Cocycles.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.CIM Series in Mathematical Sciences,2364-9518Dynamical systemsMathematical physicsMathematicsDynamical SystemsMathematical PhysicsApplications of MathematicsDynamical systems.Mathematical physics.Mathematics.Dynamical Systems.Mathematical Physics.Applications of Mathematics.515.39Dias João Lopes1435893Duarte Pedro755963Gaivão José Pedro1435894Klein Silvius755964Peixe Telmo1435895Siqueira Jaqueline1435896Torres Maria Joana1435897MiAaPQMiAaPQMiAaPQBOOK9910755074503321New Trends in Lyapunov Exponents3593955UNINA