Search results for: ratners-theorems-on-unipotent-flows

Ratner s Theorems on Unipotent Flows

Author : Dave Witte Morris
File Size : 37.67 MB
Format : PDF, Kindle
Download : 674
Read : 779
Download »
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.

Handbook of Dynamical Systems

Author : B. Hasselblatt
File Size : 24.70 MB
Format : PDF, Kindle
Download : 380
Read : 431
Download »
Volumes 1A and 1B. These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys. The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics. Volume 1B will appear 2005.

Ergodic Theory and Harmonic Analysis

Author : Karl E. Petersen
File Size : 37.57 MB
Format : PDF, Kindle
Download : 108
Read : 543
Download »
This volume contains articles that describe the connections between ergodic theory and convergence, rigidity theory, and the theory of joinings. These papers present the background of each area of interaction, the most outstanding recent results, and the currently promising lines of research. In the aggregate, they will provide a perfect introduction for anyone beginning research in one of these areas.

Structure and Randomness

Author : Terence Tao
File Size : 57.30 MB
Format : PDF, ePub, Docs
Download : 884
Read : 428
Download »
"In 2007, Terry Tao began a mathematical blog, as an outgrowth of his own website at UCLA. This book is based on a selection of articles from the first year of that blog. These articles discuss a wide range of mathematics and its applications, ranging from expository articles on quantum mechanics, Einstein's equation E = mc[superscript 2], or compressed sensing, to open problems in analysis, combinatorics, geometry, number theory, and algebra, to lecture series on random matrices, Fourier analysis, or the dichotomy between structure and randomness that is present in many subfields of mathematics, to more philosophical discussions on such topics as the interplay between finitary and infinitary in analysis. Some selected commentary from readers of the blog has also been included at the end of each article.

Ergodic Theory

Author : Manfred Einsiedler
File Size : 90.95 MB
Format : PDF, ePub, Docs
Download : 603
Read : 498
Download »
This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.

Mathematical Reviews

Author :
File Size : 81.74 MB
Format : PDF, ePub, Mobi
Download : 915
Read : 1251
Download »

Invariant Submanifolds for Homogeneous Flows on Quotients of Semisimple Lie Groups of Noncompact Type

Author : Tracy Lin Payne
File Size : 71.39 MB
Format : PDF, Mobi
Download : 192
Read : 1121
Download »

Bulletin new Series of the American Mathematical Society

Author :
File Size : 30.41 MB
Format : PDF
Download : 443
Read : 680
Download »

Journal of the Korean Mathematical Society

Author :
File Size : 60.37 MB
Format : PDF, Docs
Download : 991
Read : 496
Download »

Proceedings of the International Congress of Mathematicians

Author : Marta Sanz Solé
File Size : 85.32 MB
Format : PDF, Docs
Download : 974
Read : 835
Download »
The International Congress of Mathematicians (ICM) is held every four years. It is a major scientific event, bringing together mathematicians from all over the world and demonstrating the vital role that mathematics play in our society. In particular, the Fields Medals are awarded to recognize outstanding mathematical achievement. At the same time, the International Mathematical Union awards the Nevanlinna Prize for work in the field of theoretical computer science. The proceedings of ICM 2006, published as a three-volume set, present an overview of current research in all areas of mathematics and provide a permanent record the congress. The first volume features the works of Fields Medallists and the Nevanlinna Prize winner, the plenary lectures, and the speeches and pictures of the opening and closing ceremonies and award sessions. The other two volumes present the invited lectures, arranged according to their mathematical subject.

Doklady

Author :
File Size : 38.66 MB
Format : PDF, ePub, Mobi
Download : 548
Read : 253
Download »

Geometry Topology

Author :
File Size : 71.7 MB
Format : PDF, Docs
Download : 288
Read : 588
Download »

Russian Mathematical Surveys

Author :
File Size : 56.7 MB
Format : PDF, Kindle
Download : 845
Read : 468
Download »

Documenta Mathematica

Author :
File Size : 60.69 MB
Format : PDF, Mobi
Download : 210
Read : 922
Download »

Israel Journal of Mathematics

Author : Moʻatsah ha-leʼumit le-meḥḳar ule-fituaḥ (Israel)
File Size : 44.76 MB
Format : PDF, Docs
Download : 572
Read : 474
Download »

Proceedings of the International Colloquium on Lie Groups and Ergodic Theory Mumbai 1996

Author : S. G. Dani
File Size : 66.93 MB
Format : PDF
Download : 710
Read : 789
Download »
This volume is a collection of papers related to lectures delivered in an international colloquium held at the Tata Institute of Fundamental Research, Mumbai, in January 1996. The colloquium, which was designated a Golden Jubilee event of the Institute, was aimed at bringing into focus various recent developments in ergodic theory, related to Lie groups and discrete subgroups. Experts from all over the world spoke at the meeting, on different aspects of the topic.

Mathematics at Berkeley

Author : Calvin C. Moore
File Size : 50.93 MB
Format : PDF, Kindle
Download : 937
Read : 869
Download »
In this fascinating history of the mathematics department at the University of California, Berkeley, Moore describes how this institution evolved from a single faculty member at a financially-troubled private college into a major research center that is ranked among the very best in the USA and in the world. Moore's account spans from its origins in the 1850s to the establishment and early years of the Mathematical Sciences Research Institute (MSRI) in the early to mid 1980s.

Analysis on Homogeneous Spaces and Representation Theory of Lie Groups Okayama Kyoto

Author : Toshiyuki Kobayashi
File Size : 46.10 MB
Format : PDF, Kindle
Download : 513
Read : 195
Download »
This volume is an outgrowth of the activities of the RIMS Research Project, which presented symposia offering both individual lectures on specialized topics and expository courses on current research. The subjects therein reflect very active areas in the representation theory of Lie groups. Also included are various topical interactions with geometry of homogeneous spaces, automorphic forms, quantum groups, special functions, discrete groups, differential equations, etc. Comprising results from some of today's most active areas of research, this volume will serve as an excellent up-to-date guide to the representation theory of Lie groups.

Current Developments in Mathematics

Author :
File Size : 26.82 MB
Format : PDF, ePub, Docs
Download : 248
Read : 1044
Download »

Bulletin of the American Mathematical Society

Author :
File Size : 83.67 MB
Format : PDF
Download : 611
Read : 1254
Download »