Miguel Donoso-Echenique

collaborators

5 papers

math.GR2026

Free Burnside groups of large odd exponent have cost 1

Miguel Donoso-Echenique, Eduardo Silva

We prove that the free Burnside group $B (m, n)$ with $m \geq 2$ generators and sufficiently large odd exponent $n$ (e.g., $n \geq 1003$ if $m = 2$ , and $n \geq 665$ if $m \geq 3$ ), has co…

math.SP2026

Random operators, spectral measures, and local empirical convergence in sofic groups

Miguel Donoso-Echenique, Felix Pogorzelski, Michael SchrÃ¶dl-Baumann

In this paper, we consider the problem of approximating the spectral distribution for a class of random operators over sofic groups. For this purpose, we make use of the concept of…

math.DS2025

Expansivity of algebraic semigroup actions

Miguel Donoso-Echenique

For a semigroup $S$ and a right $Z [S]$ -submodule $J \leq Z [S]^{n}$ , we study expansivity of the algebraic action of $S$ induced on the Pontryagin dual of $\mathbb{Z}…

math.DS2025

Natural extensions of embeddable semigroup actions

Raimundo BriceÃ±o, Ãlvaro Bustos-Gajardo, Miguel Donoso-Echenique

Semigroup actions and their invertible extensions are discussed. First, we develop a theory of natural extensions for continuous actions of countable, embeddable semigroups. Second…

math.DS2025

Extensibility and denseness of periodic semigroup actions

Raimundo BriceÃ±o, Ãlvaro Bustos-Gajardo, Miguel Donoso-Echenique

We study periodic points and finitely supported invariant measures for continuous semigroup actions. Introducing suitable notions of periodicity in both topological and measure-the…