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200 10$aNew Trends in Lyapunov Exponents$b[electronic resource] $eNTLE, Lisbon, Portugal, February 7?11, 2022 /$fedited by João Lopes Dias, Pedro Duarte, José Pedro Gaivão, Silvius Klein, Telmo Peixe, Jaqueline Siqueira, Maria Joana Torres
205   $a1st ed. 2023.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023.
215   $a1 online resource (184 pages)
225 1 $aCIM Series in Mathematical Sciences,$x2364-9518
311 08$aPrint version: Dias, João Lopes New Trends in Lyapunov Exponents Cham : Springer International Publishing AG,c2023 9783031413155 
327   $aPreface -- 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.
330   $aThis volume presents peer-reviewed surveys on new developments in the study of Lyapunov exponents in dynamical systems and its applications to other areas, such as mathematical physics. Written by leading experts in their fields, the contributions are based upon the presentations given by invited speakers at the ?New Trends in Lyapunov Exponents? workshop held in Lisbon, Portugal, February 7?11, 2022. The works focus on the concept of Lyapunov exponents in their various manifestations in dynamical systems along with their applications to mathematical physics and other areas of mathematics. The papers reflect the spirit of the conference of promoting new connections among different subjects in dynamical systems. This volume aims primarily at researchers and graduate students working in dynamical systems and related fields, serving as an introduction to active fields of research and as a review of recent results as well.
410  0$aCIM Series in Mathematical Sciences,$x2364-9518
606   $aDynamical systems
606   $aMathematical physics
606   $aMathematics
606   $aDynamical Systems
606   $aMathematical Physics
606   $aApplications of Mathematics
615  0$aDynamical systems.
615  0$aMathematical physics.
615  0$aMathematics.
615 14$aDynamical Systems.
615 24$aMathematical Physics.
615 24$aApplications of Mathematics.
676   $a515.39
700   $aDias$b João Lopes$01435893
701   $aDuarte$b Pedro$0755963
701   $aGaivão$b José Pedro$01435894
701   $aKlein$b Silvius$0755964
701   $aPeixe$b Telmo$01435895
701   $aSiqueira$b Jaqueline$01435896
701   $aTorres$b Maria Joana$01435897
801  0$bMiAaPQ
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906   $aBOOK
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996   $aNew Trends in Lyapunov Exponents$93593955
997   $aUNINA