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Some applications of homogeneous dynamics to number theory

Dmitry Kleinbock
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Abstract

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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Dmitry Kleinbock. 2002-10-18. Some applications of homogeneous dynamics to number theory. https://arxiv.org/abs/math/0210301

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