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math.DS2026
Topological weak mixing for certain linear involutions of hyperelliptic type
Felipe Arbulú, Bastián Espinoza, Alejandro Maass
A linear involution is an injective piecewise isometry defined on a pair of disjoint intervals. They are defined by a combinatorial data given by a generalized permutation and a le…
math.DS2022
A geometric framework for asymptoticity and expansivity in topological dynamics
Sebastián Donoso, Alejandro Maass, Samuel Petite
We develop a geometric framework to address asymptoticity and nonexpansivity in topological dynamics. Our framework can be applied when the acting group is second countable and loc…
math.DS2021
Directional mean dimension and continuum-wise expansive -actions
Sebastián Donoso, Lei Jin, Alejandro Maass +1
We study directional mean dimension of -actions (where is a positive integer). On the one hand, we show that there is a -action whose directional me…