Zobrazeno 1 - 10
of 496
pro vyhledávání: '"Nagnibeda AN"'
To a subshift over a finite alphabet, one can naturally associate an infinite family of finite graphs, called its Rauzy graphs. We show that for a subshift of subexponential complexity the Rauzy graphs converge to the line $\mathbf{Z}$ in the sense o
Externí odkaz:
http://arxiv.org/abs/2402.15877
We describe the block structure of finitely generated subgroups of branch groups with the so-called subgroup induction property, including the first Grigorchuk group $\mathcal{G}$ and the torsion GGS groups.
Comment: 31 pages, 3 figures
Comment: 31 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/2402.15496
Autor:
Howarth, Megan, Nagnibeda, Tatiana
This paper is devoted to the study of tessellations of the hyperbolic plane, especially the ones associated to hyperbolic triangle groups $\Delta(l,m,n)$. We give a full description of the cone types of these graphs and show that their number depends
Externí odkaz:
http://arxiv.org/abs/2312.12178
We study here a variant of the Abelian Sandpile Model, where the playground is a cylinder of width $w$ and of circumference c. When c << w, we describe a phenomenon which has not been observed in other geometries: the probability distribution of aval
Externí odkaz:
http://arxiv.org/abs/2212.12579
Autor:
Aiello, Valeriano, Nagnibeda, Tatiana
We study the planar $3$-colorable subgroup $\mathcal{E}$ of Thompson's group $F$ and its even part $\mathcal{E}_{\rm EVEN}$. The latter is obtained by cutting $\mathcal{E}$ with a finite index subgroup of $F$ isomorphic to $F$, namely the rectangular
Externí odkaz:
http://arxiv.org/abs/2212.12269
A graph $G = (V, E)$ of bounded degree has an adjacency operator~$A$ which acts on the Hilbert space $\ell^2(V)$. There are different kinds of measures of interest on the spectrum $\Sigma (A)$ of $A$. In particular, each vector $\xi \in \ell^2(V)$ de
Externí odkaz:
http://arxiv.org/abs/2205.12819
Autor:
Aiello, Valeriano, Nagnibeda, Tatiana
Publikováno v:
Annales de l'Institut Fourier, Volume 73 (2023) no. 2, pp. 783-828
In his work on representations of Thompson's group $F$, Vaughan Jones defined and studied the $3$-\emph{colorable subgroup} $\mathcal{F}$ of $F$. Later, Ren showed that it is isomorphic with the Brown-Thompson group $F_4$. In this paper we continue w
Externí odkaz:
http://arxiv.org/abs/2103.07885
We are interested in various aspects of spectral rigidity of Cayley and Schreier graphs of finitely generated groups. For each pair of integers $d\geq 2$ and $m \ge 1$, we consider an uncountable family of groups of automorphisms of the rooted $d$-re
Externí odkaz:
http://arxiv.org/abs/2007.03309
The aim of this paper is to describe the structure of the finitely generated subgroups of a family of branch groups, which includes the first Grigorchuk group and the Gupta-Sidki 3-group. This description is made via the notion of block subgroup. We
Externí odkaz:
http://arxiv.org/abs/2006.16121
Autor:
Nagnibeda, Tatiana, Pérez, Aitor
We study Schreier dynamical systems associated with a vast family of groups that hosts many known examples of groups of intermediate growth. We are interested in the orbital graphs for the actions of these groups on $d-$regular rooted trees and on th
Externí odkaz:
http://arxiv.org/abs/2004.03885