Selecta I: Ergodic Theory and Dynamical Systems, Sinai Yakov G.
Автор: Yves Coud?ne Название: Ergodic Theory and Dynamical Systems ISBN: 144717285X ISBN-13(EAN): 9781447172857 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics.
This book contains a broad selection of topics and explores the fundamental ideas of the subject. Starting with basic notions such as ergodicity, mixing, and isomorphisms of dynamical systems, the book then focuses on several chaotic transformations with hyperbolic dynamics, before moving on to topics such as entropy, information theory, ergodic decomposition and measurable partitions. Detailed explanations are accompanied by numerous examples, including interval maps, Bernoulli shifts, toral endomorphisms, geodesic flow on negatively curved manifolds, Morse-Smale systems, rational maps on the Riemann sphere and strange attractors.
Ergodic Theory and Dynamical Systems will appeal to graduate students as well as researchers looking for an introduction to the subject. While gentle on the beginning student, the book also contains a number of comments for the more advanced reader.
Автор: Guivarc`h Yves, Kingman John F. C., Ledrappier Franзois Название: Dynamical Systems and Ergodic Theory at Saint-Flour ISBN: 3642259650 ISBN-13(EAN): 9783642259654 Издательство: Springer Рейтинг: Цена: 5613.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Features: Systemes topologiques et metriques en theorie ergodique; Subadditive Processes; Quelques proprietes asymptotiques des produits de matricesaleatoires; and, Quelques proprietes des exposants caracteristiques.
Автор: F. Alberto Gr?nbaum; Pierre van Moerbeke; Victor H Название: Henry P. McKean Jr. Selecta ISBN: 3319222368 ISBN-13(EAN): 9783319222363 Издательство: Springer Рейтинг: Цена: 13836.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume presents a selection of papers by Henry P. McKean, which illustrate the various areas in mathematics in which he has made seminal contributions. Topics covered include probability theory, integrable systems, geometry and financial mathematics.
Автор: Edmund Hlawka; Peter M. Gruber; Wolfgang M. Schmid Название: Selecta ISBN: 3642346227 ISBN-13(EAN): 9783642346224 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Notes on the papers on geometry of numbers and on Diophantine approximations.- Ьber die Approximation von zwei komplexen inhomogenen Linearformen [3]*.- Ьber die Approximation von inhomogenen Linearformen [4].- Ьber komplexe homogene Linearformen [5].- Eine Ungleichung fьr Vektorlдngen [6].- Zur Geometrie der Zahlen [7].- Ausfьllung und Ьberdeckung konvexer Kцrper durch konvexe Kцrper [16].- Ьber Gitterpunkte in Parallelepipeden [18].- Ьber Integrale auf konvexen Kцrpern I [19].- Ьber eine Klasse von mehrfachen Integralen [26].- Das inhomogene Problem in der Geometrie der Zahlen [30].- Ьber einen Satz von van der Corput [31].- Zur formalen Theorie der Gleichverteilung in kompakten Gruppen [32].- Folgen auf kompakten Rдumen [33].- Zur Ьberdeckung der Ebene durch konvexe Scheiben [34].- Zum Hauptsatz der Theorie der Gleichverteilung [36].- Erbliche Eigenschaften in der Theorie der Gleichverteilung [40].- Funktionen von beschrдnkter Variation in der Theorie der Gleichverteilung [43].- Zur angenдherten Berechnung mehrfacher Integrale [45].- Rhythmische Folgen auf kompakten Gruppen I [46].- Zur Geometrie der Zahlen [49].- Discrepancy and uniform distribution of sequences [52].- Uniform distribution modulo 1 and numerical analysis [53].- Interpolation analytischer Funktionen auf dem Einheitskreis [60].- Ein metrischer Satz in der Theorie der C-Gleichverteilung [67].- Discrepancy and Riemann Integration [69].- Ьber eine Methode von E. Hecke in der Theorie der Gleichverteilung [74].- Mathematische Modelle der kinetischen Gastheorie [75].- Anwendung zahlentheoretischer Methoden auf Probleme der numerischen Mathematik I [80].- Ьber die Gleichverteilung gewisser Folgen, welche mit den Nullstellen der Zetafunktion zusammenhдngen [83].- 90 Jahre Geometrie der Zahlen [92].- Approximation von Irrationalzahlen und pythagorдische Tripel [94].- Gleichverteilung auf Produkten von Sphдren [102].- Eine Bemerkung zur Theorie der Gleichverteilung [109].- Carl Ludwig Siegel (31. 12. 1896-4.4. 1981) [117].- List of publications.- Acknowledgements.
Описание: This book collects 20 papers that span the areas of mathematical physics, dynamical systems, and probability. Yakov Sinai is well-known as both a mathematician and a physicist, with numerous theorems and proofs bearing his name in both fields.
Автор: Pei-Dong Liu; Min Qian Название: Smooth Ergodic Theory of Random Dynamical Systems ISBN: 3540600043 ISBN-13(EAN): 9783540600046 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text studies ergodic-theoretic aspects of random dynamical systems, for example, deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems.
Описание: This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak`s conjecture on Moebius disjointness.
Автор: Jan Awrejcewicz Название: Dynamical Systems in Applications ISBN: 3030072223 ISBN-13(EAN): 9783030072223 Издательство: Springer Рейтинг: Цена: 27950.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book is intended for all those who are interested in application problems related to dynamical systems. It provides an overview of recent findings on dynamical systems in the broadest sense. Divided into 46 contributed chapters, it addresses a diverse range of problems. The issues discussed include: Finite Element Analysis of optomechatronic choppers with rotational shafts; computational based constrained dynamics generation for a model of a crane with compliant support; model of a kinetic energy recuperation system for city buses; energy accumulation in mechanical resonance; hysteretic properties of shell dampers; modeling a water hammer with quasi-steady and unsteady friction in viscoelastic conduits; application of time-frequency methods for the assessment of gas metal arc welding conditions; non-linear modeling of the human body’s dynamic load; experimental evaluation of mathematical and artificial neural network modeling for energy storage systems; interaction of bridge cables and wake in vortex-induced vibrations; and the Sommerfeld effect in a single DOF spring-mass-damper system with non-ideal excitation.
Автор: I. V. Basawa; D. J. Scott Название: Asymptotic Optimal Inference for Non-ergodic Models ISBN: 0387908102 ISBN-13(EAN): 9780387908106 Издательство: Springer Рейтинг: Цена: 16070.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph contains a comprehensive account of the recent work of the authors and other workers on large sample optimal inference for non-ergodic models. The non-ergodic family of models can be viewed as an extension of the usual Fisher-Rao model for asymptotics, referred to here as an ergodic family.
Автор: Stanley Eigen; Arshag Hajian; Yuji Ito; Vidhu Pras Название: Weakly Wandering Sequences in Ergodic Theory ISBN: 4431564004 ISBN-13(EAN): 9784431564003 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In time it was shown that ww and related sequences reflected significant and deep properties of ergodic transformations that preserve an infinite measure.This monograph studies in a systematic way the role of ww and related sequences in the classification of ergodic transformations preserving an infinite measure.
Автор: Jan Awrejcewicz Название: Dynamical Systems in Applications ISBN: 3319966006 ISBN-13(EAN): 9783319966007 Издательство: Springer Рейтинг: Цена: 27950.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book is intended for all those who are interested in application problems related to dynamical systems. It provides an overview of recent findings on dynamical systems in the broadest sense. Divided into 46 contributed chapters, it addresses a diverse range of problems. The issues discussed include: Finite Element Analysis of optomechatronic choppers with rotational shafts; computational based constrained dynamics generation for a model of a crane with compliant support; model of a kinetic energy recuperation system for city buses; energy accumulation in mechanical resonance; hysteretic properties of shell dampers; modeling a water hammer with quasi-steady and unsteady friction in viscoelastic conduits; application of time-frequency methods for the assessment of gas metal arc welding conditions; non-linear modeling of the human body’s dynamic load; experimental evaluation of mathematical and artificial neural network modeling for energy storage systems; interaction of bridge cables and wake in vortex-induced vibrations; and the Sommerfeld effect in a single DOF spring-mass-damper system with non-ideal excitation.
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