In pioneering work in the 1950s, S. Karlin and J. McGregor showed that probabilistic aspects
of certain Markov processes can be studied by analyzing orthogonal eigenfunctions of …

Two sequentially Markov coalescent models (SMC and SMC′) are available as tractable
approximations to the ancestral recombination graph (ARG). We present a Markov process …

The idea of G-networks with negative arrivals, as well as of the relevant product form
solution including non-linear traffic equations, was first published by Erol Gelenbe in 1989 …

The success of a phage that infects a bacterial cell possessing a restriction–modification (R–
M) system depends on the activities of the host methyltransferase and restriction …

We study birth-death processes on the nonnegative integers, where {1, 2,…} is an
irreducible class and 0 an absorbing state, with the additional feature that a transition to …

In the last two decades, researchers have really been embracing the idea of G-networks with
negative arrivals and the relevant product form solution including nonlinear traffic equations …

We deal with a population of individuals that grows stochastically according to a batch
Markovian arrival process and is subject to renewal generated geometric catastrophes. Our …

We study the pathogenesis of Francisella tularensis infection with an experimental mouse
model, agent-based computation and mathematical analysis. Following inhalational …

We consider birth–death processes on the nonnegative integers, where {1, 2,…} is an
irreducible class and 0 an absorbing state, with the additional feature that a transition to …

This paper is concerned with level‐dependent quasi‐birth‐death (LD‐QBD) processes, ie,
multi‐variate Markov chains with a block‐tridiagonal qq‐matrix, and a more general class of …