ON THE DISTRIBUTION OF ZEROS OF A RUELLE ZETA-FUNCTION

Authors
EREMENKO A LEVIN G SODIN M
Citation
A. Eremenko et al., ON THE DISTRIBUTION OF ZEROS OF A RUELLE ZETA-FUNCTION, Communications in Mathematical Physics, 159(3), 1994, pp. 433-441
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
159
Issue
3
Year of publication
1994
Pages
433 - 441
Database
ISI
SICI code
0010-3616(1994)159:3<433:OTDOZO>2.0.ZU;2-4
Abstract
We study the limit distribution of zeros of a Ruelle zeta-function for the dynamical system z --> z(2) + c when c is real and c --> - 2 - 0 and apply the results to the correlation functions of this dynamical s ystem.