Stochastics and thermodynamics for equilibrium measures of holomorphic endomorphisms on complex projective spaces

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This article proves that the dynamical system (f,μφ) enjoys exponential decay of correlations of Hölder continuous observables as well as the Central Limit Theorem and the Law of Iterated Logarithm for the class of these variables that, in addition, satisfy a natural co-boundary condition. This article also shows that the topological pressure function t ↦ P(tφ) is real-analytic throughout the open set of all parameters t for which the potentials tφ have pressure gaps.

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22 p.

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Szostakiewicz, Michał; Urbański, Mariusz & Zdunik, Anna February 14, 2014.

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Description

This article proves that the dynamical system (f,μφ) enjoys exponential decay of correlations of Hölder continuous observables as well as the Central Limit Theorem and the Law of Iterated Logarithm for the class of these variables that, in addition, satisfy a natural co-boundary condition. This article also shows that the topological pressure function t ↦ P(tφ) is real-analytic throughout the open set of all parameters t for which the potentials tφ have pressure gaps.

Physical Description

22 p.

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  • Monatshefte für Mathematik, 2014. New York, NY: Springer

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Publication Information

  • Publication Title: Monatshefte für Mathematik
  • Volume: 174
  • Issue: 1
  • Pages: 141-162
  • Peer Reviewed: Yes

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UNT Scholarly Works

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  • February 14, 2014

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  • March 15, 2017, 12:42 p.m.

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Szostakiewicz, Michał; Urbański, Mariusz & Zdunik, Anna. Stochastics and thermodynamics for equilibrium measures of holomorphic endomorphisms on complex projective spaces, article, February 14, 2014; New York, NY. (digital.library.unt.edu/ark:/67531/metadc958752/: accessed August 16, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.