Distribution modulo one and diophantine approximation:
This book presents state-of-the-art research on the distribution modulo one of sequences of integral powers of real numbers and related topics. Most of the results have never before appeared in one book and many of them were proved only during the last decade. Topics covered include the distribution...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2012
|
| Schriftenreihe: | Cambridge tracts in mathematics
193 |
| Links: | https://doi.org/10.1017/CBO9781139017732 |
| Zusammenfassung: | This book presents state-of-the-art research on the distribution modulo one of sequences of integral powers of real numbers and related topics. Most of the results have never before appeared in one book and many of them were proved only during the last decade. Topics covered include the distribution modulo one of the integral powers of 3/2 and the frequency of occurrence of each digit in the decimal expansion of the square root of two. The author takes a point of view from combinatorics on words and introduces a variety of techniques, including explicit constructions of normal numbers, Schmidt's games, Riesz product measures and transcendence results. With numerous exercises, the book is ideal for graduate courses on Diophantine approximation or as an introduction to distribution modulo one for non-experts. Specialists will appreciate the inclusion of over 50 open problems and the rich and comprehensive bibliography of over 700 references. |
| Umfang: | 1 Online-Ressource (xvi, 300 Seiten) |
| ISBN: | 9781139017732 |
Internformat
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| 100 | 1 | |a Bugeaud, Yann |d 1971- | |
| 245 | 1 | 0 | |a Distribution modulo one and diophantine approximation |c Yann Bugeaud |
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| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2012 | |
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| 490 | 1 | |a Cambridge tracts in mathematics |v 193 | |
| 520 | |a This book presents state-of-the-art research on the distribution modulo one of sequences of integral powers of real numbers and related topics. Most of the results have never before appeared in one book and many of them were proved only during the last decade. Topics covered include the distribution modulo one of the integral powers of 3/2 and the frequency of occurrence of each digit in the decimal expansion of the square root of two. The author takes a point of view from combinatorics on words and introduces a variety of techniques, including explicit constructions of normal numbers, Schmidt's games, Riesz product measures and transcendence results. With numerous exercises, the book is ideal for graduate courses on Diophantine approximation or as an introduction to distribution modulo one for non-experts. Specialists will appreciate the inclusion of over 50 open problems and the rich and comprehensive bibliography of over 700 references. | ||
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| spelling | Bugeaud, Yann 1971- Distribution modulo one and diophantine approximation Yann Bugeaud Distribution Modulo One & Diophantine Approximation Cambridge Cambridge University Press 2012 1 Online-Ressource (xvi, 300 Seiten) txt c cr Cambridge tracts in mathematics 193 This book presents state-of-the-art research on the distribution modulo one of sequences of integral powers of real numbers and related topics. Most of the results have never before appeared in one book and many of them were proved only during the last decade. Topics covered include the distribution modulo one of the integral powers of 3/2 and the frequency of occurrence of each digit in the decimal expansion of the square root of two. The author takes a point of view from combinatorics on words and introduces a variety of techniques, including explicit constructions of normal numbers, Schmidt's games, Riesz product measures and transcendence results. With numerous exercises, the book is ideal for graduate courses on Diophantine approximation or as an introduction to distribution modulo one for non-experts. Specialists will appreciate the inclusion of over 50 open problems and the rich and comprehensive bibliography of over 700 references. Erscheint auch als Druck-Ausgabe 9780521111690 Erscheint auch als Druck-Ausgabe 9780521128872 |
| spellingShingle | Bugeaud, Yann 1971- Distribution modulo one and diophantine approximation |
| title | Distribution modulo one and diophantine approximation |
| title_alt | Distribution Modulo One & Diophantine Approximation |
| title_auth | Distribution modulo one and diophantine approximation |
| title_exact_search | Distribution modulo one and diophantine approximation |
| title_full | Distribution modulo one and diophantine approximation Yann Bugeaud |
| title_fullStr | Distribution modulo one and diophantine approximation Yann Bugeaud |
| title_full_unstemmed | Distribution modulo one and diophantine approximation Yann Bugeaud |
| title_short | Distribution modulo one and diophantine approximation |
| title_sort | distribution modulo one and diophantine approximation |
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