A NOTE ON OPTIMAL ERGODIC INVARIANT-MEASURES FOR PIECEWISE-LINEAR MAPS ON FRACTAL REPELLERS

Authors
GUSTAFSON K
Citation
K. Gustafson, A NOTE ON OPTIMAL ERGODIC INVARIANT-MEASURES FOR PIECEWISE-LINEAR MAPS ON FRACTAL REPELLERS, Physics letters. A, 208(1-2), 1995, pp. 117-126
Citations number
18
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
208
Issue
1-2
Year of publication
1995
Pages
117 - 126
Database
ISI
SICI code
0375-9601(1995)208:1-2<117:ANOOEI>2.0.ZU;2-X
Abstract
We answer a question about uniqueness of maximum information dimension invariant measures on invariant fractal sets, and we interpret the ma ximum information dimension as an instance of a general regularity pri nciple. New expressions for information dimension, Lyapunov exponent, and chaotic trajectory decay rate, are derived.