Recurrence In Ergodic Theory And Combinatorial Number Theory PDF Download
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Author | : Harry Furstenberg |
Publisher | : Princeton University Press |
Total Pages | : 216 |
Release | : 2014-07-14 |
Genre | : Mathematics |
ISBN | : 1400855160 |
Download Recurrence in Ergodic Theory and Combinatorial Number Theory Book in PDF, ePub and Kindle
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 | : Manfred Einsiedler |
Publisher | : Springer Science & Business Media |
Total Pages | : 486 |
Release | : 2010-09-11 |
Genre | : Mathematics |
ISBN | : 0857290215 |
Download Ergodic Theory Book in PDF, ePub and Kindle
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 | : Weltausstellung (1862, London) |
Publisher | : |
Total Pages | : 134 |
Release | : 1862 |
Genre | : |
ISBN | : |
Download Official Illustrated Catalogue Book in PDF, ePub and Kindle
Author | : Mark Pollicott |
Publisher | : Cambridge University Press |
Total Pages | : 198 |
Release | : 1998-01-29 |
Genre | : Mathematics |
ISBN | : 9780521575997 |
Download Dynamical Systems and Ergodic Theory Book in PDF, ePub and Kindle
This book is an essentially self contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a masters level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der waerden's theorem and szemerdi's theorem).
Author | : Sukumar Das Adhikari |
Publisher | : |
Total Pages | : 184 |
Release | : 2002 |
Genre | : Combinatorial analysis |
ISBN | : 9788173193033 |
Download Aspects of Combinatorics and Combinatorial Number Theory Book in PDF, ePub and Kindle
Author | : Vitaly Bergelson |
Publisher | : Walter de Gruyter |
Total Pages | : 461 |
Release | : 2011-06-15 |
Genre | : Mathematics |
ISBN | : 3110889382 |
Download Convergence in Ergodic Theory and Probability Book in PDF, ePub and Kindle
This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Author | : Karl Endel Petersen |
Publisher | : Cambridge University Press |
Total Pages | : 452 |
Release | : 1995 |
Genre | : Ergodic theory |
ISBN | : 0521459990 |
Download Ergodic Theory and Its Connection with Harmonic Analysis Book in PDF, ePub and Kindle
Tutorial survey papers on important areas of ergodic theory, with related research papers.
Author | : Melvyn B. Nathanson |
Publisher | : Springer |
Total Pages | : 309 |
Release | : 2014-10-18 |
Genre | : Mathematics |
ISBN | : 1493916017 |
Download Combinatorial and Additive Number Theory Book in PDF, ePub and Kindle
This proceedings volume is based on papers presented at the Workshops on Combinatorial and Additive Number Theory (CANT), which were held at the Graduate Center of the City University of New York in 2011 and 2012. The goal of the workshops is to survey recent progress in combinatorial number theory and related parts of mathematics. The workshop attracts researchers and students who discuss the state-of-the-art, open problems and future challenges in number theory.
Author | : Bruce Landman |
Publisher | : Walter de Gruyter |
Total Pages | : 501 |
Release | : 2011-12-22 |
Genre | : Mathematics |
ISBN | : 3110925095 |
Download Combinatorial Number Theory Book in PDF, ePub and Kindle
This carefully edited volume contains selected refereed papers based on lectures presented by many distinguished speakers at the "Integers Conference 2005", an international conference in combinatorial number theory. The conference was held in celebration of the 70th birthday of Ronald Graham, a leader in several fields of mathematics.
Author | : Sébastien Ferenczi |
Publisher | : Springer |
Total Pages | : 434 |
Release | : 2018-06-15 |
Genre | : Mathematics |
ISBN | : 3319749080 |
Download Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics Book in PDF, ePub and Kindle
This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak's conjecture on Möbius disjointness. Selected topics involving more traditional connections between number theory and dynamics are also presented, including equidistribution, homogenous dynamics, and Lagrange and Markov spectra. In addition, some dynamical and number theoretical aspects of aperiodic order, some algebraic systems, and a recent development concerning tame systems are described.