Dynamical zeta functions

2016/02/18 by V. Baladi, Baladi, V.
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Statistical Mechanics and Entropy #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1602.05873

openalex publication_date 2016/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These are notes from a course given in Orsay in 2002 explaining carefully the Milnor-Thurston kneading determinant approach to dynamical zeta functions as interpreted by Baladi and Ruelle (Invent. Math. 1996). We make them available in view of the recent renewed interest in this approach. (see arXiv:1501.00294, The Milnor-Thurston determinant and the Ruelle transfer operator, HH Rugh, Comm. Math. Phys. 342 (2016) 603-614, and arXiv:1407.5313, Kneading with weights, HH Rugh, Lei Tan, J. Fractal Geom. 2 (2015) 339-375)

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