The Spectral Problem, Substitutions and Iterated Monodromy

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dc.creatorGrigorchuk, Rostislav
dc.creatorSavchuk, Dmytro
dc.creatorSunic, Zoran
dc.date2007-03-15
dc.date.accessioned2026-07-07T07:52:06Z
dc.date.available2026-07-07T07:52:06Z
dc.descriptionWe provide a self-similar measure for the self-similar group $G$ acting faithfully on the binary rooted tree, defined as the iterated monodromy group of the quadratic polynomial $z^2+i$. We also provide an $L$-presentation for $G$ and calculations related to the spectrum of the Markov operator on the Schreier graph of the action of $G$ on the orbit of a point on the boundary of the binary rooted tree.
dc.description24 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/math/0703443
dc.identifierhttp://arxiv.org/abs/math/0703443
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125755
dc.subjectGroup Theory
dc.subject20E08
dc.titleThe Spectral Problem, Substitutions and Iterated Monodromy
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