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

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
Externally published	Yes

Funding

Funders	Funder number
Directorate for Mathematical and Physical Sciences	9101798

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10.1007/BF02099978

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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.",

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On the distribution of zeros of a Ruelle zeta-function

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