Hyperbolic Groupoids and Duality, Volodymyr Nekrashevych
Автор: Ratcliffe Название: Foundations of Hyperbolic Manifolds ISBN: 0387331972 ISBN-13(EAN): 9780387331973 Издательство: Springer Рейтинг: Цена: 51200.00 T Наличие на складе: Есть Описание: This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. This book has been heavily class-tested and each chapter contains exercises and a section of historical remarks.
Автор: Josef Ballmann; Rolf Jeltsch Название: Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications ISBN: 3528080981 ISBN-13(EAN): 9783528080983 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: On the occasion of the International Conference on Nonlinear Hyperbolic Problems held in St. Etienne, France, 1986 it was decided to start a two years cycle of conferences on this very rapidly expanding branch of mathematics and it*s applications in Continuum Mechanics and Aerodynamics.
Автор: Mourad Bellassoued; Masahiro Yamamoto Название: Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems ISBN: 4431565981 ISBN-13(EAN): 9784431565987 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions.
Автор: Wiggins, Stephen Название: Normally hyperbolic invariant manifolds in dynamical systems ISBN: 1461287340 ISBN-13(EAN): 9781461287346 Издательство: Springer Рейтинг: Цена: 74490.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: An important tool in these studies has been the theory of normally hyperbolic invariant manifolds and foliations of normally hyperbolic invariant manifolds.
Автор: Bergeron, Nicolas Название: Spectrum of hyperbolic surfaces ISBN: 3319276646 ISBN-13(EAN): 9783319276649 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called "arithmetic hyperbolic surfaces", the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods in number theory to study them.
After an introduction to the hyperbolic geometry of surfaces, with a special emphasis on those of arithmetic type, and then an introduction to spectral analytic methods on the Laplace operator on these surfaces, the author develops the analogy between geometry (closed geodesics) and arithmetic (prime numbers) in proving the Selberg trace formula. Along with important number theoretic applications, the author exhibits applications of these tools to the spectral statistics of the Laplacian and the quantum unique ergodicity property. The latter refers to the arithmetic quantum unique ergodicity theorem, recently proved by Elon Lindenstrauss.
The fruit of several graduate level courses at Orsay and Jussieu, The Spectrum of Hyperbolic Surfaces allows the reader to review an array of classical results and then to be led towards very active areas in modern mathematics.
Автор: F. Dahmani, V. Guirardel, D. Osin Название: Hyperbolically Embedded Subgroups and Rotating Families in Groups Acting on Hyperbolic Spaces ISBN: 1470421941 ISBN-13(EAN): 9781470421946 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 74850.00 T Наличие на складе: Невозможна поставка. Описание: Introduces and studies the notions of hyperbolically embedded and very rotating families of subgroups. The authors obtain a number of general results about rotating families and hyperbolically embedded subgroups; although their technique applies to a wide class of groups, it is capable of producing new results even for well-studied particular classes.
Автор: Michel Coornaert; Athanase Papadopoulos Название: Symbolic Dynamics and Hyperbolic Groups ISBN: 3540564993 ISBN-13(EAN): 9783540564997 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph elaborates on Gromov`s theory of hyperbolic groups and spaces in relation to symbolic dynamics. Particular attention is paid to the dynamical system defined by the action of a hyperbolic group on its boundary.
Автор: Borthwick Название: Spectral Theory of Infinite-Area Hyperbolic Surfaces ISBN: 3319338757 ISBN-13(EAN): 9783319338750 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developments in the field. For the second edition the context has been extended to general surfaces with hyperbolic ends, which provides a natural setting for development of the spectral theory while still keeping technical difficulties to a minimum. All of the material from the first edition is included and updated, and new sections have been added.Topics covered include an introduction to the geometry of hyperbolic surfaces, analysis of the resolvent of the Laplacian, scattering theory, resonances and scattering poles, the Selberg zeta function, the Poisson formula, distribution of resonances, the inverse scattering problem, Patterson-Sullivan theory, and the dynamical approach to the zeta function. The new sections cover the latest developments in the field, including the spectral gap, resonance asymptotics near the critical line, and sharp geometric constants for resonance bounds. A new chapter introduces recently developed techniques for resonance calculation that illuminate the existing results and conjectures on resonance distribution.The spectral theory of hyperbolic surfaces is a point of intersection for a great variety of areas, including quantum physics, discrete groups, differential geometry, number theory, complex analysis, and ergodic theory. This book will serve as a valuable resource for graduate students and researchers from these and other related fields. Review of the first edition:'The exposition is very clear and thorough, and essentially self-contained; the proofs are detailed...The book gathers together some material which is not always easily available in the literature...To conclude, the book is certainly at a level accessible to graduate students and researchers from a rather large range of fields. Clearly, the reader...would certainly benefit greatly from it.' (Colin Guillarmou, Mathematical Reviews, Issue 2008 h)
Автор: Pierre Dazord; Alan Weinstein Название: Symplectic Geometry, Groupoids, and Integrable Systems ISBN: 1461397219 ISBN-13(EAN): 9781461397212 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
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