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We give a necessary and sufficient condition for a locally compact group to be isomorphic to a closed cocompact subgroup in the isometry group of a Diestel-Leader graph. As a consequence of this condi...
Lamplighter Random Walks and Entropy-Sensitivity of Languages
Lamplighter Random Walks Entropy-Sensitivity of Languages
2011/1/21
I declare that I have authored this thesis independently, that I have not used other than the declared sources/resources, and that I have explicitely marked all material which has been quotes either l...
The Logarithmic Sobolev Constant of The Lamplighter
The Logarithmic Sobolev Constant The Lamplighter
2010/11/12
We give estimates on the logarithmic Sobolev constant of some finite lamplighter graphs in terms of the spectral gap of the underlying base. Also, we give examples of application.
Recently groups giving rise to irrational l2-Betti numbers have been found.All the examples known so far share a common property: they have one of the lamplighter groups Z/p o Z as a subgroup. In this...