Communications in Mathematical Physics

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

Continuous Phase Transitions for Dynamical Systems

  • Omri Sarig


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.


Critical Exponent Gibbs Measure Equilibrium Measure Thermodynamic Formalism Continuous Phase Transition 
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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Mathematics DepartmentPennsylvania State UniversityUniversity ParkUSA

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