A. Rosenmann

activity

19932026

most citedBounded Determinization of Timed Automata with Silent Transitions

1 citations · 1 across the 12 of their papers we have counts for

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math.CO2026

On the chromatic number and equilateral dimension of $R^{n}$ with the tropical norm

Amnon Rosenmann

We study the tropical chromatic number of $R^{n}$ , $χ_{tr} (R^{n})$ , the minimal number of colors needed to color $R^{n}$ , so that no two points at tro…

math.CO2026

Tropical balls, geodesics and honeycomb

Amnon Rosenmann

In these notes we describe the geometry of tropical balls in $R^{n}$ equipped with the tropical metric. After defining the tropical length of rectifiable curves (and not jus…

math.CO2019

Circular automata synchronize with high probability

Christoph Aistleitner, Daniele D'Angeli, Abraham Gutierrez +2

In this paper we prove that a uniformly distributed random circular automaton $A_{n}$ of order $n$ synchronizes with high probability (whp). More precisely, we prove that $…

On the chromatic number and equilateral dimension of Rn with the tropical norm

Tropical balls, geodesics and honeycomb

Circular automata synchronize with high probability

On the chromatic number and equilateral dimension of $R^{n}$ with the tropical norm