On Ruelle-Perron-Frobenius operators. II. Convergence speeds

Authors
Citation
Ah. Fan et Yp. Jiang, On Ruelle-Perron-Frobenius operators. II. Convergence speeds, COMM MATH P, 223(1), 2001, pp. 143-159
Citations number
12
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
223
Issue
1
Year of publication
2001
Pages
143 - 159
Database
ISI
SICI code
0010-3616(200109)223:1<143:OROICS>2.0.ZU;2-Y
Abstract
We study Ruelle operators on expanding and mixing dynamical systems with po tential function satisfying the Dini condition. We give an estimate for the convergence speed of the iterates of a Ruelle operator. Our proof avoids M arkov partitions. This is the second part of our research on Ruelle operato rs.