11 citations · 32 across the 19 of their papers we have counts for
4 papers · 1 filter
Lyapunov exponents for branching processes in a random environment: The effect of information
Sophie Hautphenne, Guy Latouche
We consider multitype Markovian branching processes evolving in a Markovian random environment. To determine whether or not the branching process becomes extinct almost surely is a…
Approximations for time-dependent distributions in Markovian fluid models
Sarah Dendievel, Guy Latouche
In this paper we study the distribution of the level at time of Markovian fluid queues and Markovian continuous time random walks, the maximum (and minimum) level over ,…
Two-dimensional fluid queues with temporary assistance
Guy Latouche, Giang T. Nguyen, Zbigniew Palmowski
We consider a two-dimensional stochastic fluid model with ON-OFF inputs and temporary assistance, which is an extension of the same model with in Mahabhashyam et al. (2…
Fluid approach to two-sided Markov-modulated Brownian motion
Guy Latouche, Giang T. Nguyen
We extend to Markov-modulated Brownian motion (MMBM) the renewal approach which has been successfully applied to the analysis of Markov-modulated fluid models. It has recently been…