Some applications of homogeneous dynamics to number theory

Details Some applications of homogeneous dynamics to number theory Some applications of homogeneous dynamics to number theory

2002-10-18

arxiv.org/abs/math/0210301v1

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

Mathematics

Dynamical Systems

23 pages

Scientific paper

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.

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