6 citations · 11 across the 22 of their papers we have counts for
8 papers · 1 filter
On typical triangulations of a convex -gon
Toufik Mansour, Reza Rastegar
Let be a function assigning weight to each possible triangle whose vertices are chosen from vertices of a convex polygon of sides. Suppose is a ran…
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…
Finite automata, probabilistic method, and occurrence enumeration of a pattern in words and permutations
Toufik Mansour, Reza Rastegar, Alexander Roitershtein
The main theme of this paper is the enumeration of the occurrence of a pattern in words and permutations. We mainly focus on asymptotic properties of the sequence the…
Avalanches in an excitable network
Reza Rastegar, Alexander Roitershtein
We study propagation of avalanches in a certain excitable network. The model is a particular case of the one introduced in [23], and is mathematically equivalent to an endemic vari…
On ballistic deposition process on a strip
Toufik Mansour, Reza Rastegar, Alexander Roitershtein
We revisit the model of the ballistic deposition studied in \cite{bdeposition} and prove several combinatorial properties of the random tree structure formed by the underlying stoc…