Componentwise Fractal Resonance Counting and Wandering-Dimension Inflation for Open Hyperbolic Flows

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: CHAO MA
DOI: 10.5281/zenodo.21482121
Cited by: 2
References: 1

Abstract

We prove componentwise upper bounds for Pollicott–Ruelle resonance counts in open hyperbolic flows. If a component trapped transversal has upper Minkowski dimension kappa_alpha and its invariant covector graph is C^{beta_alpha}, then N_alpha^cum(E, Gamma; a)

Fields of Study & Subjects

Mathematical Dynamics and Fractals Quantum chaos and dynamical systems Navier-Stokes equation solutions

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
22 July 2026
Language
EN
Document type
Preprint