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On the distribution of zeros of a Ruelle zeta-function

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Abstract

We study the limit distribution of zeros of a Ruelle χ-function for the dynamical systemz↦z 2+c whenc is real andc→−2−0 and apply the results to the correlation functions of this dynamical system.

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Authors and Affiliations

  1. Purdue University, 47907, West Lafayette, IN, USA

    A. Eremenko

  2. Institute of Mathematics, Hebrew University, 91904, Jerusalem, Israel

    G. Levin

  3. Institute of Low Temperature Physics and Engineering, 310164, Kharkov, Ukraine

    M. Sodin

Authors
  1. A. Eremenko
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  2. G. Levin
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  3. M. Sodin
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Communicated by J.-P. Eckmann

Supported by NSF grant DMS-9101798

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Eremenko, A., Levin, G. & Sodin, M. On the distribution of zeros of a Ruelle zeta-function. Commun.Math. Phys. 159, 433–441 (1994). https://doi.org/10.1007/BF02099978

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  • DOI: https://doi.org/10.1007/BF02099978

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