3 citations · 3 across the 4 of their papers we have counts for
5 papers
Weighted uniform distribution of subpolynomial functions along primes and applications
Vitaly Bergelson, Grigori Kolesnik, Younghwan Son
Let be a subpolynomial function in a Hardy field. We establish necessary and sufficient conditions for the weighted uniform distribution of the sequences $(u(n))_{n\in\mathb…
Exceptional Points for Density Modulo 1
Daniel Berend, Michael D. Boshernitzan, Grigori Kolesnik +1
It is well known that almost every dilation of a sequence of real numbers, that diverges to , is dense modulo~1. This paper studies the exceptional set of points -- those f…
Maximum of Exponential Random Variables, Hurwitz's Zeta Function, and the Partition Function
Dina Barak-Pelleg, Daniel Berend, Grigori Kolesnik
A natural problem in the context of the coupon collector's problem is the behavior of the maximum of independent geometrically distributed random variables (with distinct parameter…
Uniform distribution of subpolynomial functions along primes and applications
Vitaly Bergelson, Grigori Kolesnik, Younghwan Son
Let be a Hardy field (a field consisting of germs of real-valued functions at infinity that is closed under differentiation) and let be a subpolynomial function. Let…
Uniform Distribution of Prime Powers and sets of Recurrence and van der Corput sets in Z^k
Vitaly Bergelson, Grigori Kolesnik, Manfred Madritsch +2
We establish new results on sets of recurrence and van der Corput sets in Z^k which refine and unify some of the previous results obtained by Sarkozy, Furstenberg, Kamae and Mendes…