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math.PR2021
Some arithmetic properties of Pólya's urn
José L. Fernández, Pablo Fernández
Following Hales (2018), the evolution of Pólya's urn may be interpreted as a walk, a Pólya walk, on the integer lattice . We study the visibility properties of Pólya'…
math.PR2014
A limit theorem for selectors
Francisco Durango, José L. Fernández, Pablo Fernández +1
Any (measurable) function from to defines an operator acting on random variables by , where the…
math.PR2013★ 9 cited
Asymptotic normality and greatest common divisors
José L. Fernández, Pablo Fernández
We report on some statistical regularity properties of greatest common divisors: for large random samples of integers, the number of coprime pairs and the average of the gcd's of t…