Author: Mark Pollicott
Publisher: Cambridge University Press
ISBN: 9780521435932
Category : Mathematics
Languages : en
Pages : 176

Get Book Here

Book Description
These lecture notes provide a unique introduction to Pesin theory and its applications.

Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486826848
Category : Mathematics
Languages : en
Pages : 113

Get Book Here

Book Description
This concise classic by a well-known master of mathematical exposition covers recurrence, ergodic theorems, ergodicity and mixing properties, and the relation between conjugacy and equivalence. 1956 edition.

Author: Luís Barreira
Publisher: American Mathematical Society
ISBN: 1470473070
Category : Mathematics
Languages : en
Pages : 355

Get Book Here

Book Description
This book is the first comprehensive introduction to smooth ergodic theory. It consists of two parts: the first introduces the core of the theory and the second discusses more advanced topics. In particular, the book describes the general theory of Lyapunov exponents and its applications to the stability theory of differential equations, the concept of nonuniform hyperbolicity, stable manifold theory (with emphasis on absolute continuity of invariant foliations), and the ergodic theory of dynamical systems with nonzero Lyapunov exponents. A detailed description of all the basic examples of conservative systems with nonzero Lyapunov exponents, including the geodesic flows on compact surfaces of nonpositive curvature, is also presented. There are more than 80 exercises. The book is aimed at graduate students specializing in dynamical systems and ergodic theory as well as anyone who wishes to get a working knowledge of smooth ergodic theory and to learn how to use its tools. It can also be used as a source for special topics courses on nonuniform hyperbolicity. The only prerequisite for using this book is a basic knowledge of real analysis, measure theory, differential equations, and topology, although the necessary background definitions and results are provided. In this second edition, the authors improved the exposition and added more exercises to make the book even more student-oriented. They also added new material to bring the book more in line with the current research in dynamical systems.

Author: Dan Henry
Publisher: Cambridge University Press
ISBN: 0521574919
Category : Mathematics
Languages : en
Pages : 217

Get Book Here

Book Description
This book, first published in 2005, works to answer a wide range of problems involving boundary perturbations in the study of partial differential equations.

Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 9781139437219
Category : Mathematics
Languages : en
Pages : 316

Get Book Here

Book Description
This first volume of the two-volume book contains selected papers from the international conference 'Groups St Andrews 2001 in Oxford' which was held at the University of Oxford in August 2001. Five main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions from Marston Conder (Auckland), Persi Diaconis (Stanford) and Marcus Du Sautoy (Cambridge). The series of Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past twenty years. As with earlier volumes, these refereed volumes also contain accessible surveys of contemporary research fronts, as well as a diverse collection of short research articles. They form a valuable reference for researchers, especially graduate students, working in group theory.

Author: William M. Kantor
Publisher: Cambridge University Press
ISBN: 052146790X
Category : Mathematics
Languages : en
Pages : 324

Get Book Here

Book Description
Silk Hope, NC is a buoyant and moving parable in which two good women find, among the hidden, forgotten virtues of the past, a sustenance to carry them into the future.

Author: Jean-Paul Brasselet
Publisher: Cambridge University Press
ISBN: 9780521466318
Category : Mathematics
Languages : en
Pages : 440

Get Book Here

Book Description
This book contains papers given at the International Singularity Conference held in 1991 at Lille.

Author: G. R. H. Greaves
Publisher: Cambridge University Press
ISBN: 0521589576
Category : Mathematics
Languages : en
Pages : 360

Get Book Here

Book Description
State-of-the-art analytic number theory proceedings.

Author: M. J. Ablowitz
Publisher: Cambridge University Press
ISBN: 9780521534376
Category : Mathematics
Languages : en
Pages : 276

Get Book Here

Book Description
This book presents a detailed mathematical analysis of scattering theory, obtains soliton solutions, and analyzes soliton interactions, both scalar and vector.

Author: Giuseppe Da Prato
Publisher: Cambridge University Press
ISBN: 1139433431
Category : Mathematics
Languages : en
Pages : 397

Get Book Here

Book Description
State of the art treatment of a subject which has applications in mathematical physics, biology and finance. Includes discussion of applications to control theory. There are numerous notes and references that point to further reading. Coverage of some essential background material helps to make the book self contained.