Zobrazeno 1 - 10
of 110
pro vyhledávání: '"NEKRASHEVYCH, VOLODYMYR"'
Conformal dimension is a fundamental invariant of metric spaces, particularly suited to the study of self-similar spaces, such as spaces with an expanding self-covering (e.g. Julia sets of complex rational functions). The dynamics of these systems ar
Externí odkaz:
http://arxiv.org/abs/2305.14545
Autor:
Nekrashevych, Volodymyr
We give various characterizations of the covering dimension of the limit space of a contracting self-similar group. In particular, we show that it is equal to the minimal dimension of a contracting affine model, to the asymptotic dimension of the orb
Externí odkaz:
http://arxiv.org/abs/2304.11232
We introduce a new method of proving upper estimates of growth of finitely generated groups and constructing groups of intermediate growth using graphs of their actions. These estimates are of the form $\exp(n^\alpha)$ for some $\alpha<1$, and provid
Externí odkaz:
http://arxiv.org/abs/2205.01792
Autor:
Nekrashevych, Volodymyr
We show how to use symbolic dynamics of Schreier graphs to embed the Grigorchuk group into a simple torsion group of intermediate growth and to construct uncountably many growth types of simple torsion groups.
Comment: 17 pages, 2 figures
Comment: 17 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2008.04983
Autor:
Nekrashevych, Volodymyr
We are studying topological properties of the Julia set of the map $F(z, p)=((2z/(p+1)-1)^2, ((p-1)/(p+1))^2)$ of the complex projective plane $PC^2$ to itself. We show a relation of this rational function with an uncountable family of "paper folding
Externí odkaz:
http://arxiv.org/abs/1603.00079
Autor:
Nekrashevych, Volodymyr
We describe a new class of groups of Burnside type, giving a procedure transforming an arbitrary non-free minimal action of the dihedral group on a Cantor set into an orbit-equivalent action of an infinite finitely generated periodic group. We show t
Externí odkaz:
http://arxiv.org/abs/1601.01033
Autor:
Nekrashevych, Volodymyr
We associate with every etale groupoid G two normal subgroups S(G) and A(G) of the topological full group of G, which are analogs of the symmetric and alternating groups. We prove that if G is a minimal groupoid of germs (e.g., of a group action), th
Externí odkaz:
http://arxiv.org/abs/1511.08241