The standard map and a probabilistic conjecture

Authors
Pustyl'nikov, LD
Citation
Ld. Pustyl'Nikov, The standard map and a probabilistic conjecture, MATH NACHR, 219, 2000, pp. 181-187
Citations number
13
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
219
Year of publication
2000
Pages
181 - 187
Database
ISI
SICI code
0025-584X(2000)219:<181:TSMAAP>2.0.ZU;2-#
Abstract
Statistical properties of trajectories of a class of dynamical systems, whi ch includes the standard map, are studied. In particular a well known conje cture is stated and its natural probabilistic analogue is defined in the fr amework of ergodic theory of random transformations. The main result is a p roof of a probabilistic analogue of this conjecture.