6 citations · 11 across the 22 of their papers we have counts for
7 papers · 1 filter
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…
Maximum occupation time of a transient excited random walk on Z
Reza Rastegar, Alexander Roitershtein
We consider a transient excited random walk on and study the asymptotic behavior of the occupation time of a currently most visited site. In particular, our results imply that,…
Multivariate linear recursions with Markov-dependent coefficients
D. Hay, R. Rastegar, A. Roitershtein
We study a linear recursion with random Markov-dependent coefficients. In a "regular variation in, regular variation out" setup we show that its stationary solution has a multivari…