Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Sunic, Zoran"'
Autor:
Garrido, Alejandra, Šunić, Zoran
A theoretical framework is established for explicitly calculating rigid kernels of self-similar regular branch groups. This is applied to a new infinite family of branch groups in order to provide the first examples of self-similar, branch groups wit
Externí odkaz:
http://arxiv.org/abs/2310.06581
Autor:
Peres, Yuval, Sunic, Zoran
We provide an algorithm, running in polynomial time in the number of vertices, computing the unique solution to the biased infinity Laplacian Boundary Problem on finite graphs. The algorithm is based on the general outline and approach taken in the c
Externí odkaz:
http://arxiv.org/abs/1912.13394
The word problem for Thompson's group $F$ has a solution, but it remains unknown whether $F$ is automatic or has a finite or regular convergent (terminating and confluent) rewriting system. We show that the group $F$ admits a natural extension of the
Externí odkaz:
http://arxiv.org/abs/1811.11691
Autor:
Sunic, Zoran, Uria-Albizuri, Jone
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 obtained through analysis of some features of the branching subgroup
Externí odkaz:
http://arxiv.org/abs/1710.02902
Autor:
Penland, Andrew, Šunić, Zoran
We generalize the notion of self-similar groups of infinite tree automorphisms to allow for groups which are defined on a tree but do not act faithfully on it. The elements of such a group correspond to labeled trees which may be recognized by a tree
Externí odkaz:
http://arxiv.org/abs/1710.02886
Publikováno v:
In Journal of Fluency Disorders September 2021 69
Autor:
Hermiller, Susan, Sunic, Zoran
We show that there exists no left order on the free product of two nontrivial, finitely generated, left-orderable groups such that the corresponding positive cone is represented by a regular language. Since there are orders on free groups of rank at
Externí odkaz:
http://arxiv.org/abs/1609.06288
The survey presents developments in the theory of self-similar groups leading to applications to the study of fractal sets and graphs, and their associated spectra.
Externí odkaz:
http://arxiv.org/abs/1503.06887
Let G be a group and H be a subgroup of G. We say that H is left relatively convex in G if the left G-set G/H has at least one G-invariant order; when G is left orderable, this holds if and only if H is convex in G under some left ordering of G. We g
Externí odkaz:
http://arxiv.org/abs/1503.01736
Publikováno v:
In Journal of Algebra 1 March 2020 545:111-134