Meromorphic structure of the Mellin transforms and short-distance behavior of correlation integrals

DOI10.1007/BF01060078zbMath0892.58068OpenAlexW2004479560MaRDI QIDQ1203163

Enzo Orlandini, Maria Carla Tesi, Giorgio Turchetti

Publication date: 27 October 1993

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01060078

zbMATH Keywords

Mellin transformcorrections to scaling lawsmixing repellerspotential and energy integralssingularity spectrum and residues

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ergodic theorems, spectral theory, Markov operators (37A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (2)

Lacunarity of random fractals. ⋮ Dynamical integral transform on fractal sets and the computation of entropy

Cites Work

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• A two-dimensional mapping with a strange attractor
• Strange objects in the complex plane
• Mellin transforms associated with Julia sets and physical applications
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• Invariant sets under iteration of rational functions
• Analogues of the Lebesgue Density Theorem for Fractal Sets of Reals and Integers
• Fractal measures and their singularities: The characterization of strange sets
• Dimension, entropy and Lyapunov exponents
• Iterated function systems and the global construction of fractals
• An ergodic theorem for iterated maps
• Deterministic Nonperiodic Flow
• Generalised spectra for the dimensions of strange sets
• Some properties of mixing repellers
• Repellers for real analytic maps
• Feigenbaum universality and the thermodynamic formalism

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