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arXiv · 2605.26980

Dynamical spectra for skew products with unit circle fiber

Christian Camilo Silva Villamil·Carlos Gustavo Tamm de Araujo Moreira·Raúl Mario Ures de la Madrid
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Abstract

The dynamical Markov and Lagrange spectra are subsets of the real line widely studied and that share some similarities with the classical spectra, e.g. typical dynamical spectra, associated to horseshoes with Hausdorff dimension greater than one, have nonempty interior and, in the conservative setting, the intersections of the spectra with half-lines determine a continuous function. Here we study some similar questions in the context of skew products of surface diffeomorphisms with unit circle fiber.

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Christian Camilo Silva Villamil, Carlos Gustavo Tamm de Araujo Moreira, Raúl Mario Ures de la Madrid. 2026-05-26. Dynamical spectra for skew products with unit circle fiber. https://arxiv.org/abs/2605.26980

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