88 citations · 216 across the 28 of their papers we have counts for
30 papers
On a characterization of exponential and double exponential distributions
Reza Rastegar, Alex Roitershtein
Recently, G.~Yanev obtained a characterization of the exponential family of distributions in terms of a functional equation for certain mixture densities. The purpose of this note…
The longest increasing subsequence in involutions avoiding 3412 and another pattern
Toufik Mansour, Reza Rastegar, Alexander Roitershtein +1
In this note, we study the mean length of the longest increasing subsequence of a uniformly sampled involution that avoids the pattern and another pattern.
Horizontal visibility graph of a random restricted growth sequence
Toufik Mansour, Reza Rastegar, Alexander Roitershtein
We study the distributional properties of horizontal visibility graphs associated with random restrictive growth sequences and random set partitions of size Our main results a…
Extinction scenarios in evolutionary processes: A Multinomial Wright-Fisher approach
Alexander Roitershtein, Reza Rastegar, Robert S. Chapkin +1
We study a generalized discrete-time multi-type Wright-Fisher population process. The mean-field dynamics of the stochastic process is induced by a general replicator difference eq…
Staircase patterns in words: subsequences, subwords, and separation number
Toufik Mansour, Reza Rastegar, Alexander Roitershtein
We revisit staircases for words and prove several exact as well as asymptotic results for longest left-most staircase subsequences and subwords and staircase separation number, the…
Height of records in partitions of a set
Toufik Mansour, Reza Rastegar, Alexander Roitershtein
We study the restricted growth function associated with set partitions, and obtain exact formulas for the number of strong records with height one, the total of record heights over…