10 citations · 14 across the 6 of their papers we have counts for
10 papers
On finitely generated Hausdorff spectra of groups acting on rooted trees
Jorge Fariña-Asategui, Oihana Garaialde Ocaña, Jone Uria-Albizuri
We answer two longstanding questions of Klopsch (1999) and Shalev (2000) by proving that the finitely generated Hausdorff spectrum of the closure of a finitely generated regular br…
Invariants for neural automata
Jone Uria-Albizuri, Giovanni Sirio Carmantini, Peter beim Graben +1
Computational modeling of neurodynamical systems often deploys neural networks and symbolic dynamics. A particular way for combining these approaches within a framework called vect…
Charge Transport at Atomic Scales in 1D-Semiconductors: A Quantum Statistical Model Allowing Rigorous Numerical Studies
Roisin Dempsey Braddell, Jone Uria-Albizuri, Jean-Bernard Bru +1
There has been a recent surge of interest in understanding charge transport at atomic scales. The motivations are myriad, including understanding the conductance properties of pept…
The profinite completion of multi-EGS groups
Anitha Thillaisundaram, Jone Uria-Albizuri
The class of multi-EGS groups is a generalisation of the well-known Grigorchuk-Gupta-Sidki (GGS-)groups. Here we classify branch multi-EGS groups with the congruence subgroup prope…
Grigorchuk-Gupta-Sidki groups as a source for Beauville surfaces
Şükran Gül, Jone Uria-Albizuri
If is a Grigorchuk-Gupta-Sidki group defined over a -adic tree, where is an odd prime, we study the existence of Beauville surfaces associated to the quotients of by…
Portrait growth in contracting, regular branch groups
Zoran Sunic, Jone Uria-Albizuri
We address a question of Grigorchuk by providing both a system of recursive formulas and an asymptotic result for the portrait growth of the first Grigorchuk group. The results are…
Pro- congruence properties for groups of rooted tree automorphisms
Alejandra Garrido, Jone Uria-Albizuri
We propose a generalisation of the congruence subgroup problem for groups acting on rooted trees. Instead of only comparing the profinite completion to that given by level stabiliz…
Multi-GGS-groups have the congruence subgroup property
Alejandra Garrido, Jone Uria-Albizuri
We generalize the result about the congruence subgroup property for GGS-groups to the family of multi-GGS-groups; that is, all multi-GGS-groups except the one defined by the consta…
On the concept of fractality for groups of automorphisms of a regular rooted tree
Jone Uria-Albizuri
The aim of this article is to discuss and clarify the notion of fractality for subgroups of the group of automorphisms of a regular rooted tree. For this purpose we define three ty…
On the congruence subgroup property for GGS-groups
Gustavo A. Fernández-Alcober, Alejandra Garrido, Jone Uria-Albizuri
We show that all GGS-groups with non-constant defining vector satisfy the congruence subgroup property. This provides, for every odd prime , many examples of finitely generated,…