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math.GR2005
Word problems recognisable by deterministic blind monoid automata
Mark Kambites
We consider blind, deterministic, finite automata equipped with a register which stores an element of a given monoid, and which is modified by right multiplication by monoid elemen…
math.GR2004★ 1 cited
The Spectra of Lamplighter Groups and Cayley Machines
Mark Kambites, Pedro V. Silva, Benjamin Steinberg
We calculate the spectra and spectral measures associated to random walks on restricted wreath products of finite groups with the infinite cyclic group, by calculating the Kesten-v…