Communications in Mathematical Physics

, Volume 267, Issue 3, pp 631–667 | Cite as

Continuous Phase Transitions for Dynamical Systems

Article

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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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Mathematics DepartmentPennsylvania State UniversityUniversity ParkUSA

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