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Some applications of homogeneous dynamics to number theory | Dmitry Kleinbock
; | Date: |
18 Oct 2002 | Journal: | in: Smooth ergodic theory and its applications, Proc. Sympos. Pure Math. 69, AMS, Providence, RI, 2001, 639--660 | Subject: | Dynamical Systems; Number Theory MSC-class: 37A17 | math.DS math.NT | 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. | Source: | arXiv, math.DS/0210301 | Services: | Forum | Review | PDF | Favorites |
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