05103nam 2201021 450 991081217170332120230629171914.010.1515/9781400866618(CKB)2670000000608122(EBL)1929549(OCoLC)908080604(SSID)ssj0001530093(PQKBManifestationID)12644359(PQKBTitleCode)TC0001530093(PQKBWorkID)11530557(PQKB)10153402(MiAaPQ)EBC1929549(StDuBDS)EDZ0001756485(DE-B1597)459971(OCoLC)979630235(DE-B1597)9781400866618(Au-PeEL)EBL1929549(CaPaEBR)ebr11040168(CaONFJC)MIL762949(EXLCZ)99267000000060812220150415h20152015 uy 0engur|u---|u||utxtccrAction-minimizing methods in Hamiltonian dynamics an introduction to Aubry-Mather theory /Alfonso SorrentinoPilot project,eBook available to selected US libraries onlyPrinceton, [New Jersey] ;Oxford, [England] :Princeton University Press,2015.©20151 online resource (129 p.)Mathematical Notes ;50Description based upon print version of record.0-691-16450-9 1-4008-6661-8 Includes bibliographical references and index.Front matter --Contents --Preface --Chapter One. Tonelli Lagrangians and Hamiltonians on Compact Manifolds --Chapter Two. From KAM Theory to Aubry-Mather Theory --Chapter Three. Action-Minimizing Invariant Measures for Tonelli Lagrangians --Chapter Four. Action-Minimizing Curves for Tonelli Lagrangians --Chapter Five. The Hamilton-Jacobi Equation and Weak KAM Theory --Appendices --Appendix A. On the Existence of Invariant Lagrangian Graphs --Appendix B. Schwartzman Asymptotic Cycle and Dynamics --Bibliography --IndexJohn Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach-known as Aubry-Mather theory-singles out the existence of special orbits and invariant measures of the system, which possess a very rich dynamical and geometric structure. In particular, the associated invariant sets play a leading role in determining the global dynamics of the system. This book provides a comprehensive introduction to Mather's theory, and can serve as an interdisciplinary bridge for researchers and students from different fields seeking to acquaint themselves with the topic.Starting with the mathematical background from which Mather's theory was born, Alfonso Sorrentino first focuses on the core questions the theory aims to answer-notably the destiny of broken invariant KAM tori and the onset of chaos-and describes how it can be viewed as a natural counterpart of KAM theory. He achieves this by guiding readers through a detailed illustrative example, which also provides the basis for introducing the main ideas and concepts of the general theory. Sorrentino then describes the whole theory and its subsequent developments and applications in their full generality.Shedding new light on John Mather's revolutionary ideas, this book is certain to become a foundational text in the modern study of Hamiltonian systems.Mathematical notes (Princeton University Press) ;50.Hamiltonian systemsHamilton-Jacobi equationsAlbert Fathi.Aubry set.AubryЍather theory.Hamiltonian dynamics.Hamiltonians.HamiltonЊacobi equation.John Mather.KAM theory.KAM tori.Lagrangian dynamics.MAK tori.Ma set.Ma's critical value.Ma's potential.Maher sets.Peierls' barrier.Tonelli Lagrangians.action-minimizing measure.action-minimizing orbits.chaos.classical mechanics.compact manifold.differentiability.invariant Lagrangian graphs.invariant probability measures.invariant sets.orbits.pendulum.stable motion.strict convexity.unstable motion.Hamiltonian systems.Hamilton-Jacobi equations.514.74Sorrentino Alfonso1685268MiAaPQMiAaPQMiAaPQBOOK9910812171703321Action-minimizing methods in Hamiltonian dynamics4057274UNINA01992nam0 2200397 i 450 VAN0005618120240806100512.873978-05-214-4862-820061117d2002 |0itac50 baengGB|||| |||||Green's functions and ordered exponentialsH. M. FriedCambridgeCambridge university2002XI, 169 p.25 cm35C15Integral representations of solutions to PDEs [MSC 2020]VANC022322MF81-XXQuantum theory [MSC 2020]VANC019967MF81T05Axiomatic quantum field theory; operator algebras [MSC 2020]VANC023256MF81T16Nonperturbative methods of renormalization applied to problems in quantum field theory [MSC 2020]VANC023590MF81U052-body potential scattering theory [MSC 2020]VANC023594MF81V10Electromagnetic interaction; quantum electrodynamics [MSC 2020]VANC027733MF81V35Nuclear physics [MSC 2020]VANC023270MF81V80Quantum optics [MSC 2020]VANC023592MFCambridgeVANL000024FriedHerbert M.VANV04472345376Cambridge University <editore>VANV107986650Fried, Herbert MartinFried, Herbert M.VANV056439Fried, H. M.Fried, Herbert M.VANV056440Fried, H.M.Fried, Herbert M.VANV062173ITSOL20250124RICA/sebina/repository/catalogazione/documenti/Fried - Green's functions and ordered exponentials.pdfContentsBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08VAN00056181BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08PREST 81-XX 1469 08 6384 I 20061117 Green's functions and ordered exponentials1424586UNICAMPANIA01328nam0 2200313 i 450 TO0035517820251003044405.0887187594XIT96-4662 19961107d1995 ||||0itac50 baitaitz01i xxxe z01nˆIl ‰mercato telematico delle opzionipricing, tecniche di negoziazione, normativa e politica monetariaAntonio RossettiMilanoIl Sole-24 ore libri1995VIII, 207 p.23 cmFMFinanza e mercatiSeguono appendici.001CFI02159962001 FMFinanza e mercatiRossetti, Antonio <1959- >CFIV152863070792143ITIT-00000019961107IT-BN0095 NAP 01POZZO LIB.Vi sono collocati fondi di economia, periodici di ingegneria e scienze, periodici di economia e statistica e altri fondi comprendenti documenti di economia pervenuti in dono. TO00355178Biblioteca Centralizzata di Ateneo1 v. 01POZZO LIB.ECON MON 5815 0101 0600209135E VMA 1 v.B 2021040820210408 01Mercato telematico delle opzioni1771256UNISANNIO