Tom'avs V'avra

activity

20162023

most citedNon-expansive matrix number systems with bases similar to

J_{n} (1)

1 citations · 1 across the 2 of their papers we have counts for

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Showing 2021 · math.NTShow all

2 papers · 2 filters

math.NT2021★ 1 cited

Non-expansive matrix number systems with bases similar to $J_{n} (1)$

Joshua W. Caldwell, Kevin G. Hare, Tomáš Vávra

We study representations of integral vectors in a number system with a matrix base $M$ and vector digits. We focus on the case when $M$ is similar to $J_{n}$ , the Jordan block of $1$ …

math.NT2021

On positional representation of integer vectors

Edita Pelantová, Tomáš Vávra

We show that any $m \times m$ matrix $M$ with integer entries and $det M = Δ \neq = 0$ can be equipped by a finite digit set $D \subset Z^{m}$ such that any integer $m$ -…

Non-expansive matrix number systems with bases similar to Jn​(1)

On positional representation of integer vectors

Non-expansive matrix number systems with bases similar to $J_{n} (1)$