Spectral analysis of transition operators, Automata groups and translation in BBS
classification
🧮 math.SP
math.GRnlin.SI
keywords
automataspectralanalysisanaloguesautomatonbox-ballcarriercoincidence
read the original abstract
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 analogues of KdV equation. We discuss their relation with the lamplighter group generated by an automaton. We present spectral analysis of the stochastic matrices induced by these automata, and verify their spectral coincidence.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.