Weak Gibbs property and system of numeration

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dc.creatorOlivier, Eric
dc.creatorThomas, Alain
dc.date2006-07-27
dc.date.accessioned2026-07-07T07:21:02Z
dc.date.available2026-07-07T07:21:02Z
dc.descriptionWe study the selfsimilarity and the Gibbs properties of several measures defined on the product space $Ω\_r:=\{0,1,...,\break r-1\}^{\mathbb N}$. This space can be identified with the interval $[0,1]$ by means of the numeration in base $r$. The last section is devoted to the Bernoulli convolution in base $β={1+\sqrt5\over2}$, called the Erd\H os measure, and its analogue in base $-β=-{1+\sqrt5\over2}$, that we study by means of a suitable system of numeration.
dc.identifierhttps://arxiv.org/abs/math/0607705
dc.identifierhttp://arxiv.org/abs/math/0607705
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115163
dc.subjectNumber Theory
dc.subject28A12; 11A55; 11A63; 11A67
dc.titleWeak Gibbs property and system of numeration
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