Let CL be an irrational number between 0 and 1 with continued fraction [0, al + 1,~. .]. The characteristic sequence of x is by definition an infinite word f over the alphabet (0. 1 }, whose nth letter is [(n + 1)cx -ncr], n > 1. A.A. Markov has proved that f has a representation ~'=uIu~..., where
β¦ LIBER β¦
The great theorem of A.A. Markoff and Jean Bernoulli sequences
β Scribed by S. Khrushchev
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 381 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
β¦ Synopsis
A proof of Markoff's Great Theorem on the Lagrange spectrum using continued fractions is sketched. Markoff's periods and Jean Bernoulli sequence 1 are used to obtain a simple algorithm for the computation of the Lagrange spectrum below 3.
π SIMILAR VOLUMES
A representation theorem of the suffixes
β
Chuan Wai-Fong
π
Article
π
1998
π
Elsevier Science
π
English
β 574 KB
A note on a theorem of Berkes and Philip
β
AndrΓ©Robert Dabrowski
π
Article
π
1982
π
Elsevier Science
π
English
β 189 KB
A Class of Counterexamples to Jeans' The
β
Jack Schaeffer
π
Article
π
1999
π
Springer
π
English
β 89 KB
A BerryβEsseen Theorem and a Law of the
β
Jian Feng Wang; Li Xin Zhang
π
Article
π
2006
π
Institute of Mathematics, Chinese Academy of Scien
π
English
β 177 KB
Functional Limit Theorem for the Empiric
β
Paul Doukhan; Gabriel Lang; Donatas Surgailis; Marie-Claude Viano
π
Article
π
2005
π
Springer US
π
English
β 227 KB
The Asymptotic Behavior of a Family of S
β
Patrick Martinez
π
Article
π
2001
π
Elsevier Science
π
English
β 158 KB
We study the asymptotic behavior of a family of sequences defined by the following nonlinear induction relation c 0 = 1 and c n = k j=1 r j c n/m j + k j=k+1 r j c n+1 1/m j -1 for n β₯ 1, where the r j are real positive numbers and m j are integers greater than or equal to 2. Depending on the fact t