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

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

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

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

A Panorama of Number Theory Or The View from Baker's Garden

A Panorama of Number Theory Or The View from Baker's Garden PDF 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.

Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces

Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces PDF 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.

Flows on Homogeneous Spaces

Flows on Homogeneous Spaces PDF Author: Louis Auslander
Publisher:
ISBN:
Category : Topological dynamics
Languages : en
Pages : 0

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Book Description


Gradient Flows

Gradient Flows PDF 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.

Flows on homogeneous spaces

Flows on homogeneous spaces PDF Author: Louis Auslander
Publisher:
ISBN:
Category :
Languages : en
Pages : 107

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Book Description


Ratner's Theorems on Unipotent Flows

Ratner's Theorems on Unipotent Flows PDF 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.

Control Theory and Optimization I

Control Theory and Optimization I PDF 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.

Dynamics, Geometry, Number Theory

Dynamics, Geometry, Number Theory PDF Author: David Fisher
Publisher: University of Chicago Press
ISBN: 022680402X
Category : Mathematics
Languages : en
Pages : 573

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Book Description
"Mathematicians David Fisher, Dmitry Kleinbock, and Gregory Soifer highlight in this edited collection the foundations and evolution of research by mathematician Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have opened new vistas of mathematics. Margulis' ideas were central, for example, to developments that led to the recent Fields Medals of Elon Lindenstrauss and Maryam Mirzhakhani. The broad goal of this volume is to introduce these areas, their development, their use in current research, and the connections between them. The foremost experts on the topic have written each of the chapters in this volume with a view to making them accessible by graduate students and by experts in other parts of mathematics"--

The Theory of Homogeneous Turbulence

The Theory of Homogeneous Turbulence PDF 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.