B. Gerencsér

collaborators

3 papers

math.MG2017

Acute sets of exponentially optimal size

Balázs Gerencsér, Viktor Harangi

We present a simple construction of an acute set of size $2^{d - 1} + 1$ in $R^{d}$ for any dimension $d$ . That is, we explicitly give $2^{d - 1} + 1$ points in the $d$ -dimensional…

math.PR2016

Correlation bound for distant parts of factor of IID processes

Ágnes Backhausz, Balázs Gerencsér, Viktor Harangi +1

We study factor of i.i.d. processes on the $d$ -regular tree for $d \geq 3$ . We show that if such a process is restricted to two distant connected subgraphs of the tree, then the tw…

cs.FL2016

Primitive sets of nonnegative matrices and synchronizing automata

Balázs Gerencsér, Vladimir V. Gusev, Raphaël M. Jungers

A set of nonnegative matrices $M = {M_{1}, M_{2}, \dots, M_{k}}$ is called primitive if there exist indices $i_{1}, i_{2}, \dots, i_{m}$ such that $M_{i_{1}} M_{i_{2}} \dots M_{i_{m}}$ …