7 citations · 11 across the 5 of their papers we have counts for
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A central limit theorem for the variation of the sum of digits
Yohan Hosten, Élise Janvresse, Thierry de la Rue
We prove a Central Limit Theorem for probability measures defined via the variation of the sum-of-digits function, in base . For and , we conside…
Around King's Rank-One theorems: Flows and Z^n-actions
Élise Janvresse, Thierry De La Rue, Valery Ryzhikov
We study the generalizations of Jonathan King's rank-one theorems (Weak-Closure Theorem and rigidity of factors) to the case of rank-one R-actions (flows) and rank-one Z^n-actions.…
Dynamics of -continued fractions and -shifts
Elise Janvresse, Benoît Rittaud, Thierry De La Rue
For a real number , we introduce a transformation naturally associated to expansion in -continued fraction, for which we also give a geometrical interpretation. The…
Averaging along Uniform Random Integers
Élise Janvresse, Thierry De La Rue
Motivated by giving a meaning to "The probability that a random integer has initial digit d", we define a URI-set as a random set E of natural integers such that each n>0 belongs t…
Pinning by a sparse potential
Élise Janvresse, Thierry De La Rue, Yvan Velenik
We consider a directed polymer interacting with a diluted pinning potential restricted to a line. We characterize explicitely the set of disorder configurations that give rise to l…