22 citations · 23 across the 2 of their papers we have counts for
4 papers
Spectral analysis of transition operators, Automata groups and translation in BBS
Tsuyoshi Kato, Satoshi Tsujimoto, Andrzej Zuk
We give the automata which describe time evolution rules of the box-ball system (BBS) with a carrier. It can be shown by use of tropical geometry, such systems are ultradiscrete an…
Random generators of the symmetric group: diameter, mixing time and spectral gap
Harald A. Helfgott, Ákos Seress, Andrzej Zuk
Let , be a random pair of generators of or . We show that, with probability tending to as , (a) the diameter of with respect to $S…
Closed manifolds with transcendental L2-Betti numbers
Mikaël Pichot, Thomas Schick, Andrzej Zuk
In this paper, we show how to construct examples of closed manifolds with explicitly computed irrational, even transcendental L2 Betti numbers, defined via the universal covering.…
On a conjecture of Atiyah
R. I. Grigorchuk, P. Linnell, T. Schick +1
In this note we explain how the computation of the spectrum of the lamplighter group from \cite{Grigorchuk-Zuk(2000)} yields a counterexample to a strong version of the Atiyah conj…