Könyv Distribution Modulo One and Diophantine Approximation Yann Bugeaud

Distribution Modulo One and Diophantine Approximation

Szerző: Yann Bugeaud
Nyelv: Angol
Kötés: Kemény kötésű
Elérhetőség: Beszállítói készleten
Küldés 9-15 napon belül
58 876 Ft
This book presents state-of-the-art research on the distribution modulo one of sequences of integral...

Információk a könyvről

Szerző
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2012
oldal
316
EAN
9780521111690
ISBN
0521111692
Enbook ID
01204197
Súly
580
Méretek
157 x 231 x 21

Teljes leírás

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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