arXiv:math/0210301 Abstract

arXiv:math/0210301 [math.DS]Abstract References Reviews Resources

Some applications of homogeneous dynamics to number theory

Published 2002-10-18Version 1

This survey paper is not a complete reference guide to number-theoretical applications of ergodic theory. Instead, it considers an approach to a class of problems involving Diophantine properties of $n$-tuples of real numbers, namely, describes a specific dynamical system which is naturally connected with these problems.

Comments: 23 pages

Journal: in: Smooth ergodic theory and its applications, Proc. Sympos. Pure Math. 69, AMS, Providence, RI, 2001, 639--660

Categories: math.DS, math.NT

Subjects: 37A17

Keywords: number theory, homogeneous dynamics, applications, complete reference guide, survey paper

Tags: journal article

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