1 citations · 1 across the 10 of their papers we have counts for
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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…
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…
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…
Random walk on the Poincaré disk induced by a group of Möbius transformations
Charles McCarthy, Gavin Nop, Reza Rastegar +1
We consider a discrete-time random motion, Markov chain on the Poincaré disk. In the basic variant of the model a particle moves along certain circular arcs within the disk, its lo…