1 citations · 1 across the 4 of their papers we have counts for
4 papers
Asymptotic aspects of Schreier graphs and Hanoi Towers groups
Rostislav Grigorchuk, Zoran Sunik
We present relations between growth, growth of diameters and the rate of vanishing of the spectral gap in Schreier graphs of automaton groups. In particular, we introduce a series…
Branch Groups
Laurent Bartholdi, Rostislav I. Grigorchuk, Zoran Sunik
This is a long introduction to the theory of "branch groups": groups acting on rooted trees which exhibit some self-similarity features in their lattice of subgroups.
Bandwidth reduction in rectalgular grids
Titu Andreescu, Walter Stromquist, Zoran Sunik
We show that the bandwidth of a square two-dimensional grid of arbitrary size can be reduced if two (but not less than two) edges are deleted. The two deleted edges may not be chos…
Self-describing sequences and the Catalan family tree
Zoran Sunik
We introduce a transformation of finite integer sequences, show that every sequence eventually stabilizes under this transformation and that the number of fixed points is counted b…