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Continuous Phase Transitions for Dynamical Systems

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Abstract

We study the asymptotic expansion of the topological pressure of one–parameter families of potentials at a point of non-analyticity. The singularity is related qualitatively and quantitatively to non–Gaussian limit laws and to slow decay of correlations with respect to the equilibrium measure.

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Authors and Affiliations

  1. Mathematics Department, Pennsylvania State University, University Park, PA, 16802, USA

    Omri Sarig

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  1. Omri Sarig
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Correspondence to Omri Sarig.

Additional information

Communicated by G. Gallavotti

Dedicated to Y. Pesin on the occasion of his 60th birthday

This work was partially supported by NSF grant DMS–0400687.

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Sarig, O. Continuous Phase Transitions for Dynamical Systems. Commun. Math. Phys. 267, 631–667 (2006). https://doi.org/10.1007/s00220-006-0072-7

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