Książka Distribution Modulo One and Diophantine Approximation Yann Bugeaud

Distribution Modulo One and Diophantine Approximation

Autor: Yann Bugeaud
Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 9-15 dni
656.49
This book presents state-of-the-art research on the distribution modulo one of sequences of integral...

Informacje o książce

Autor
Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2012
strony
316
EAN
9780521111690
ISBN
0521111692
Enbook ID
01204197
Waga
580
Wymiary
157 x 231 x 21

Pełny opis

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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