2002/10/18 by Dmitry Kleinbock
Mathematics · #math.DS #math.NT #msc:37A17
published as in: Smooth ergodic theory and its applications, Proc. Sympos. Pure Math. 69, AMS, Providence, RI, 2001, 639--660 · 23 pages
arxiv created 2002/10/18 · arxiv updated 2009/11/30
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.