4.6 Article

Continuous phase transitions for dynamical systems

Journal

COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 267, Issue 3, Pages 631-667

Publisher

SPRINGER
DOI: 10.1007/s00220-006-0072-7

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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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