Flows on Homogeneous Spaces. (AM-53), Volume 53 PDF Download

Author: Louis Auslander
Publisher: Princeton University Press
ISBN: 1400882028
Category : Mathematics
Languages : en
Pages : 107

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Book Description
The description for this book, Flows on Homogeneous Spaces. (AM-53), Volume 53, will be forthcoming.

Author: Gisbert Wüstholz
Publisher: Cambridge University Press
ISBN: 9780521807999
Category : Mathematics
Languages : en
Pages : 378

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Book Description
This is a selection of high quality articles on number theory by leading figures.

Author: M. Bachir Bekka
Publisher: Cambridge University Press
ISBN: 9780521660303
Category : Mathematics
Languages : en
Pages : 214

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Book Description
This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.

Author: Louis Auslander
Publisher:
ISBN:
Category : Topological dynamics
Languages : en
Pages : 0

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Author: Luigi Ambrosio
Publisher: Springer Science & Business Media
ISBN: 376438722X
Category : Mathematics
Languages : en
Pages : 333

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Book Description
The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.

Author: Louis Auslander
Publisher:
ISBN:
Category :
Languages : en
Pages : 107

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Author: Dave Witte Morris
Publisher: University of Chicago Press
ISBN: 9780226539836
Category : Mathematics
Languages : en
Pages : 224

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Book Description
The theorems of Berkeley mathematician Marina Ratner have guided key advances in the understanding of dynamical systems. Unipotent flows are well-behaved dynamical systems, and Ratner has shown that the closure of every orbit for such a flow is of a simple algebraic or geometric form. In Ratner's Theorems on Unipotent Flows, Dave Witte Morris provides both an elementary introduction to these theorems and an account of the proof of Ratner's measure classification theorem. A collection of lecture notes aimed at graduate students, the first four chapters of Ratner's Theorems on Unipotent Flows can be read independently. The first chapter, intended for a fairly general audience, provides an introduction with examples that illustrate the theorems, some of their applications, and the main ideas involved in the proof. In the following chapters, Morris introduces entropy, ergodic theory, and the theory of algebraic groups. The book concludes with a proof of the measure-theoretic version of Ratner's Theorem. With new material that has never before been published in book form, Ratner's Theorems on Unipotent Flows helps bring these important theorems to a broader mathematical readership.

Author: M.I. Zelikin
Publisher: Springer Science & Business Media
ISBN: 3662041367
Category : Mathematics
Languages : en
Pages : 296

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Book Description
The only monograph on the topic, this book concerns geometric methods in the theory of differential equations with quadratic right-hand sides, closely related to the calculus of variations and optimal control theory. Based on the author’s lectures, the book is addressed to undergraduate and graduate students, and scientific researchers.

Author: G. K. Batchelor
Publisher: Cambridge University Press
ISBN: 9780521041171
Category : Mathematics
Languages : en
Pages : 216

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Book Description
This is a reissue of Professor Batchelor's text on the theory of turbulent motion, which was first published by Cambridge Unviersity Press in 1953. It continues to be widely referred to in the professional literature of fluid mechanics, but has not been available for several years. This classic account includes an introduction to the study of homogeneous turbulence, including its mathematic representation and kinematics. Linear problems, such as the randomly-perturbed harmonic oscillator and turbulent flow through a wire gauze, are then treated. The author also presents the general dynamics of decay, universal equilibrium theory, and the decay of energy-containing eddies. There is a renewed interest in turbulent motion, which finds applications in atmospheric physics, fluid mechanics, astrophysics, and planetary science.

Author: Gregori A. Margulis
Publisher: Springer Science & Business Media
ISBN: 9783540121794
Category : Mathematics
Languages : en
Pages : 408

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Book Description
Discrete subgroups have played a central role throughout the development of numerous mathematical disciplines. Discontinuous group actions and the study of fundamental regions are of utmost importance to modern geometry. Flows and dynamical systems on homogeneous spaces have found a wide range of applications, and of course number theory without discrete groups is unthinkable. This book, written by a master of the subject, is primarily devoted to discrete subgroups of finite covolume in semi-simple Lie groups. Since the notion of "Lie group" is sufficiently general, the author not only proves results in the classical geometry setting, but also obtains theorems of an algebraic nature, e.g. classification results on abstract homomorphisms of semi-simple algebraic groups over global fields. The treatise of course contains a presentation of the author's fundamental rigidity and arithmeticity theorems. The work in this monograph requires the language and basic results from fields such as algebraic groups, ergodic theory, the theory of unitary representatons, and the theory of amenable groups. The author develops the necessary material from these subjects; so that, while the book is of obvious importance for researchers working in related areas, it is essentially self-contained and therefore is also of great interest for advanced students.