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math.DS2026
Hausdorff Dimension and Flexibility for Attractors of Non-Uniformly Hyperbolic Flows
Elias Rego, Paulo Varandas
We study the Hausdorff dimension of attracting sets of three-dimensional flows whose one-dimensional quotient dynamics is non-uniformly expanding. Our main assumption is that the q…
math.DS2026
On the Abundance of Phase Transitions in Dynamical Systems
Alexander Arbieto, Walter Britto, Elias Rego
In this work, we investigate the mechanisms that trigger phase transitions in both discrete-time and continuous-time dynamical systems. We prove a simple topological condition that…