3 citations · 3 across the 6 of their papers we have counts for
6 papers
Occupation-Time Fluctuations of an Age-Dependent Branching System Driven by Poisson Immigration
Ekaterina T. Kolkovska, José Alfredo López-Mimbela, Maroussia Slavtchova-Bojkova
We study the occupation-time fluctuations of a critical age-dependent branching particle system with immigration in . Immigrants arrive according to a homogeneous Poi…
Convergence of a Critical Multitype Bellman--Harris Process with Finite-Mean Lifetimes
E. T. Kolkovska, J. A. López-Mimbela, J. H. Ramírez-González
We study a critical multitype Bellman--Harris branching particle system in \(\mathbb R^N\) with a finite type space \(\mathbf K=\{1,\dots,K\}\). Particles of type \(I\) move accord…
Large time behavior of semilinear stochastic partial differential equations perturbed by a mixture of Brownian and fractional Brownian motions
Marco Dozzi, Ekaterina T. Kolkovska, José A. López-Mimbela +1
We study the trajectorywise blowup behavior of a semilinear partial differential equation that is driven by a mixture of multiplicative Brownian and fractional Brownian motion, mod…
Occupation time fluctuations of an age-dependent critical binary branching particle system
José Alfredo López-Mimbela, Antonio Murillo-Salas, José Hermenegildo Ramírez-González
We study the limit fluctuations of the rescaled occupation time process of a branching particle system in , where the particles are subject to symmetric -stable mi…
Estimates for exponential functionals of continuous Gaussian processes with emphasis on fractional Brownian motion
José Alfredo López-Mimbela, Gerardo Pérez-Suárez
Our aim in this article is to provide explicit computable estimates for the cumulative distribution function (c.d.f.) and the -th order moment of the exponential functional of a…
Laws of Large Numbers for the Occupation Time of an Age-Dependent Critical Binary Branching System
José Alfredo López-Mimbela, Antonio Murillo Salas
The occupation time of an age-dependent branching particle system in $\Rd$ is considered, where the initial population is a Poisson random field and the particles are subject to sy…