1 citations · 2 across the 6 of their papers we have counts for
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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…
Refracted Continuous-State Branching Processes: Self-regulating populations
Antonio Murillo-Salas, José Luis Pérez, Arno Siri-Jégousse
We construct a modified continuous-state branching process whose Malthusian parameter is replaced by another when passing below a certain level. The construction is obtained via a…
The backbone decomposition for superprocesses with non-local branching
A. Murillo-Salas, J. L. Pérez
We provide a path-wise "backbone" decomposition for supercritical superprocesses with non-local branching. Our result complements a related result obtained for super-critical super…
An application of the backbone decomposition to supercritical super-Brownian motion with a barrier
A. Kyprianou, A. Murillo-Salas, J. L. Perez
We analyse the behaviour of supercritical super-Brownian motion with a barrier through the pathwise backbone embedding of Berestycki et al. (2011). In particular, by considering ex…
Super-Brownian motion: Lp-convergence of martingales through the pathwise spine decomposition
A. E. Kyprianou A. Murillo-Salas
Evans (1992) described the semi-group of a superprocess with quadratic branching mechanism under a martingale change of measure in terms of the semi-group of an immortal particle a…
Supercritical super-Brownian motion with a general branching mechanism and travelling waves
A. E. Kyprianou, R. -L. Liu, A. Murillo-Salas +1
We consider the classical problem of existence, uniqueness and asymptotics of monotone solutions to the travelling wave equation associated to the parabolic semi-group equation of…