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Ergodic Theory And Harmonic Analysis

Author: Karl E. Petersen
Publisher: Cambridge University Press
ISBN: 9780521459990
Size: 50.36 MB
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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.

An Introduction To The Theory Of Higher Dimensional Quasiconformal Mappings

Author: Frederick W. Gehring
Publisher: American Mathematical Soc.
ISBN: 0821843605
Size: 37.46 MB
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This book offers a modern, up-to-date introduction to quasiconformal mappings from an explicitly geometric perspective, emphasizing both the extensive developments in mapping theory during the past few decades and the remarkable applications of geometric function theory to other fields, including dynamical systems, Kleinian groups, geometric topology, differential geometry, and geometric group theory. It is a careful and detailed introduction to the higher-dimensional theory of quasiconformal mappings from the geometric viewpoint, based primarily on the technique of the conformal modulus of a curve family. Notably, the final chapter describes the application of quasiconformal mapping theory to Mostow's celebrated rigidity theorem in its original context with all the necessary background. This book will be suitable as a textbook for graduate students and researchers interested in beginning to work on mapping theory problems or learning the basics of the geometric approach to quasiconformal mappings. Only a basic background in multidimensional real analysis is assumed.

Books In Print

Size: 40.50 MB
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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.

Entropie M Trique Et Convergence Presque Partout

Author: Michel Weber
Publisher: Editions Hermann
Size: 39.42 MB
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L'interaction fructueuse entre la théorie des probabilités et la théorie ergodique amorcée par Stein et surtout, plus récemment par Bourgain et Talagrand exploite efficacement des méthodes d'entropie métrique appartenant à la théorie des processus stochastiques. L'auteur apporte une présentation, un commentaire et des démonstrations détaillées des critères d'entropie métrique de Bourgain ainsi que des siens propres, d'un point de vue probabiliste. Les outils gaussiens mis en œuvre, ainsi que les propriétés fondamentales des processus gaussiens, sont présentés de façon claire et accessible pour le lecteur ergodicien non spécialiste des processus gaussiens.

Mathematical Works

Author: Helmut Wielandt
Publisher: Walter de Gruyter
ISBN: 9783110124538
Size: 27.96 MB
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Contains all the mathematical works of the 20th-century German mathematician except those on group theory, which comprise the first volume. Most are on matrix theory. Among them are 24 research papers arranged chronologically, many with commentary by specialists; lecture notes on the analytic theory of matrix groups; his series of contributions to the mathematical treatment of complex eigenvalue problems prepared during the Second World War; and 1973 lecture notes on selected topics of permutation groups. About half of the pieces are in German. No index. Annotation copyrighted by Book News, Inc., Portland, OR