On the distribution of zeros of a Ruelle zeta-function

A. Eremenko; G. Levin; M. Sodin

doi:10.1007/BF02099978

On the distribution of zeros of a Ruelle zeta-function

A. Eremenko^*
, G. Levin
, M. Sodin

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We study the limit distribution of zeros of a Ruelle χ-function for the dynamical system z{mapping}z²+c when c is real and c→-2-0 and apply the results to the correlation functions of this dynamical system.

Original language	English
Pages (from-to)	433-441
Number of pages	9
Journal	Communications in Mathematical Physics
Volume	159
Issue number	3
DOIs	https://doi.org/10.1007/BF02099978
State	Published - Jan 1994

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title = "On the distribution of zeros of a Ruelle zeta-function",

abstract = "We study the limit distribution of zeros of a Ruelle χ-function for the dynamical system z\{mapping\}z2+c when c is real and c→-2-0 and apply the results to the correlation functions of this dynamical system.",

author = "A. Eremenko and G. Levin and M. Sodin",

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AB - We study the limit distribution of zeros of a Ruelle χ-function for the dynamical system z{mapping}z2+c when c is real and c→-2-0 and apply the results to the correlation functions of this dynamical system.

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On the distribution of zeros of a Ruelle zeta-function

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