Premium
Large Deviations in Random Perturbations of Axiom a Basic Sets
Author(s) -
Liu Pei-Dong,
Zhao Yang
Publication year - 2003
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610703004290
Subject(s) - diffeomorphism , mathematics , axiom , entropy (arrow of time) , bundle , statistical physics , pure mathematics , geometry , physics , quantum mechanics , materials science , composite material
The paper first proves a result on the upper semi‐continuity of the entropy map of random bundle maps, and then proves some large deviation results for random maps perturbations of an Axiom A diffeomorphism.