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math.NT2006
Weak Gibbs property and system of numeration
Eric Olivier, Alain Thomas
We 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…
math.NT2006★ 1 cited
Infinite products of matrices and the Gibbs properties of Bernoulli convolutions
Eric Olivier, Alain Thomas
We consider the infinite sequences $(A\_n)\_{n\in\NN}$ of matrices with nonnegative entries, where the are taken in a finite set of matrices. Given a vector $V=\p…
math.NT2004
On the Gibbs properties of Bernoulli convolutions related to -numeration in multinacci bases
Eric Olivier, Nikita Sidorov, Alain Thomas
We consider infinitely convolved Bernoulli measures (or simply Bernoulli convolutions) related to the -numeration. A matrix decomposition of these measures is obtained in the ca…