60 citations · 94 across the 17 of their papers we have counts for
23 papers
On the centralizer and normalizer groups of odometers and Toeplitz subshifts
Jaime Gómez, Samuel Petite
For residually finite groups, we study the automorphism and normalizer groups of odometers and their symbolic extensions: Toeplitz subshifts. In relation to orbit equivalence theor…
Non-determinism in group actions and topological minimal self-joinings
Nicolás Bitar, Sebastián Donoso, Samuel Petite
We study the topological and geometrical aspects of non-determinism in group actions, generalizing the notion of non-expansive direction for abelian actions. Under suitable conditi…
Large normalizers of -odometers systems and realization on substitutive subshifts
Christopher Cabezas, Samuel Petite
For a -topological dynamical system , an isomomorphism is a self-homeomorphism such that for some matrix $M\in {\rm GL}(d,{\ma…
Classification of discrete weak KAM solutions on linearly repetitive quasi-periodic sets
Eduardo Garibaldi, Samuel Petite, Philippe Thieullen
In discrete schemes, weak KAM solutions may be interpreted as approximations of correctors for some Hamilton-Jacobi equations in the periodic setting. It is known that correctors m…
Strong Approximations of Shifts and the Characteristic Measures Problem
Van Cyr, Bryna Kra, Samuel Petite
Every symbolic system supports a Borel measure that is invariant under the shift, but it is not known if every such systems supports a measure that is invariant under all of its au…
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…