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Author : James Lee Johnson
Release : 1973
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis A Measure-theoretic Study of Group Extensions of Dynamical Systems by : James Lee Johnson
Download or read book A Measure-theoretic Study of Group Extensions of Dynamical Systems written by James Lee Johnson. This book was released on 1973. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Foreman
Release : 2000-05-25
Genre : Mathematics
Kind : eBook
Book Rating : 447/5 ( reviews)
Book Synopsis Descriptive Set Theory and Dynamical Systems by : M. Foreman
Download or read book Descriptive Set Theory and Dynamical Systems written by M. Foreman. This book was released on 2000-05-25. Available in PDF, EPUB and Kindle. Book excerpt: This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.
Author : Manfred Einsiedler
Release : 2010-09-11
Genre : Mathematics
Kind : eBook
Book Rating : 215/5 ( reviews)
Book Synopsis Ergodic Theory by : Manfred Einsiedler
Download or read book Ergodic Theory written by Manfred Einsiedler. This book was released on 2010-09-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Harry Furstenberg
Release : 2014-07-14
Genre : Mathematics
Kind : eBook
Book Rating : 160/5 ( reviews)
Book Synopsis Recurrence in Ergodic Theory and Combinatorial Number Theory by : Harry Furstenberg
Download or read book Recurrence in Ergodic Theory and Combinatorial Number Theory written by Harry Furstenberg. This book was released on 2014-07-14. Available in PDF, EPUB and Kindle. Book excerpt: Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : Mahendra Ganpatrao Nadkarni
Release : 1998
Genre : Mathematics
Kind : eBook
Book Rating : 174/5 ( reviews)
Book Synopsis Spectral Theory of Dynamical Systems by : Mahendra Ganpatrao Nadkarni
Download or read book Spectral Theory of Dynamical Systems written by Mahendra Ganpatrao Nadkarni. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: This book treats some basic topics in the spectral theory of dynamical systems, where by a dynamical system we mean a measure space on which a group of automorphisms acts preserving the sets of measure zero. The treatment is at a general level, but even here, two theorems which are not on the surface, one due to H. Helson and W. Parry and the other due to B. Host are presented. Moreover non singular automorphisms are considered and systems ofimprimitivity are discussed. and they are used to describe Riesz products, suitably generalised, are considered the spectral types and eigenvalues of rank one automorphisms. On the other hand topics such as spectral characterisations of various mixing conditions, which can be found in most texts on ergodic theory, and also the spectral theory of Gauss Dynamical Systems, which is very well presented in Cornfeld, Fomin, and Sinai's book on Ergodic Theory, are not treated in this book. A number of discussions and correspondence on email with El Abdalaoui El Houcein made possible the presentation of mixing rank one construction of D. S. Ornstein. Iam deeply indebted to G. R. Goodson. He has edited the book and suggested a number of corrections and improvements in both content and language.
