1 citations · 1 across the 1 of their papers we have counts for
5 papers · 1 filter
Self-similar sets and self-similar measures in the -adics
Kevin G. Hare, Tomáš Vávra
In this paper we investigate -adic self-similar sets and -adic self-similar measures. We show that -adic self-similar sets are -adic path set fractals, and that the con…
Non-expansive matrix number systems with bases similar to
Joshua W. Caldwell, Kevin G. Hare, Tomáš Vávra
We study representations of integral vectors in a number system with a matrix base and vector digits. We focus on the case when is similar to , the Jordan block of …
On positional representation of integer vectors
Edita Pelantová, Tomáš Vávra
We show that any matrix with integer entries and can be equipped by a finite digit set such that any integer -…
Finiteness and periodicity of continued fractions over quadratic number fields
Zuzana Masáková, Tomáš Vávra, Francesco Veneziano
We consider continued fractions with partial quotients in the ring of integers of a quadratic number field and we prove a generalization to such continued fractions of the clas…
On periodic representations in non-Pisot bases
Simon Baker, Zuzana Masáková, Edita Pelantová +1
We study periodic expansions in positional number systems with a base $β\in\C,\ |β|>1$, and with coefficients in a finite set of digits $\A\subset\C.$ We are interested in determin…