Synchronizing automata with random inputs
Formal Languages and Automata Theory
2014-04-29 v1
Abstract
We study the problem of synchronization of automata with random inputs. We present a series of automata such that the expected number of steps until synchronization is exponential in the number of states. At the same time, we show that the expected number of letters to synchronize any pair of the famous Cerny automata is at most cubic in the number of states.
Keywords
Cite
@article{arxiv.1404.6731,
title = {Synchronizing automata with random inputs},
author = {Vladimir V. Gusev},
journal= {arXiv preprint arXiv:1404.6731},
year = {2014}
}