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math.PR2011
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…
math.PR2011
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…
math.ST2011★ 1 cited
A note on the infinite divisibility of a class of transformations of normal variables
A. Murillo-Salas, F. J. Rubio
This note examines the infinite divisibility of density-based transformations of normal random variables. We characterize a class of density-based transformations of normal variabl…