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Congruence identities arising from dynamical systems

โœ Scribed by Bau-Sen Du


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
279 KB
Volume
12
Category
Article
ISSN
0893-9659

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โœฆ Synopsis


Abstract~By counting the numbers of periodic points of all periods for some interval maps, we obtain infinitely many new congruence identities in number theory.


๐Ÿ“œ SIMILAR VOLUMES


Random dynamical systems arising from it
โœ Anna A. Kwieciล„ska; Wojciech Sล‚omczyล„ski ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 94 KB

We show that if an iterated function system with place-dependent probabilities admits an invariant and attractive measure, then it has the structure of a random dynamical system (in the sense of Ludwig Arnold).