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We restrict our attention to chaotic dynamical systems on compact metric spaces and derive FT/FR for their periodic orbit ensembles. The discussion is based on Ruelle–Walters thermodynamic formalism, which is reviewed in some detail. This chapter is motivated by Maes and Verbitskiy (Commun. Math. Phys. 233(2003), 137–151).

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Level-2 LDP and Fluctuation Theorem for Chaotic Maps

  • 章节

  • 发表日期：

    2026年

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  • Noé Cuneo,
  • Vojkan Jakšić,
  • Claude-Alain Pillet,
  • Armen Shirikyan

摘要

We restrict our attention to chaotic dynamical systems on compact metric spaces and derive FT/FR for their periodic orbit ensembles. The discussion is based on Ruelle–Walters thermodynamic formalism, which is reviewed in some detail. This chapter is motivated by Maes and Verbitskiy (Commun. Math. Phys. 233(2003), 137–151).