22 citations · 114 across the 29 of their papers we have counts for
7 papers · 1 filter
Expected number of distinct part sizes in a random integer composition
Pawel Hitczenko, Gilbert Stengle
The asymptotics, as , for the expected number of distinct part sizes in a random composition of an integer n is obtained.
Random partitions with non negative rth differences
Rod Canfield, Sylvie Corteel, Pawel Hitczenko
Let be the set of partitions of n with non negative rth differences. Let be a partition chosen uniformly at random among the set . Let be a positive rth…
Stability properties for a compactly supported prescale function
V. Dobric, R. F. Gundy, P. Hitczenko
We show that if is a continuous, minimally supported prescale function, then its translates are linearly independent on any set of positive measure in the unit interval. This g…
Characterizations of orthonormal scale functions: a probabilistic approach
V. Dobric, R. F. Gundy, P. Hitczenko
The construction of a multiresolution analysis starts with specification of a scale function. The Fourier transform of this function is defined by an infinite product. The converge…
S-partitions
William M. Y. Goh, Pawel Hitczenko, Ali Shokoufandeh
This note reports on the number of s-partitions of a natural number n. In an s-partition each cell has the form for some integer k. Such partitions have potential applicati…
A generatingfunctionology approach to a problem of Wilf
Pawel Hitczenko, Cecil C. Rousseau, Carla D. Savage
Wilf posed the following problem: determine asymptotically as the probability that a randomly chosen part size in a randomly chosen composition of n has multiplicity m…