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math.PR2011★ 4 cited
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.…
math.PR2011
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…