8 citations · 21 across the 20 of their papers we have counts for
17 papers · 1 filter
A Unified Framework from Boltzmann Transport to Proton Treatment Planning
Andreas E. Kyprianou, Aaron Pim, Tristan Pryer
This work develops a rigorous mathematical formulation of proton transport by integrating both deterministic and stochastic perspectives. The deterministic framework is based on th…
Critical non-local spatial branching processes with infinite variance conditioned on survival
Natalia Cardona-Tobón, Andreas E. Kyprianou, Pedro Martín-Chávez
We consider the setting of either a general non-local branching particle process or a general non-local superprocess. Under the assumption that the mean semigroup has a Perron-Frob…
Norm-dependent Lamperti-type MAP representations of stable processes and Brownian motions in the orthant
Andreas E. Kyprianou, Harry S. Mantelos, Victor Rivero
We start by remarking a one-to-one correspondence between self-similar Markov processes (ssMps) on a Banach space and Markov additive processes (MAPs) that is analogous to the well…
The strong law of large numbers and a functional central limit theorem for general Markov additive processes
Andreas E. Kyprianou, Victor Rivero
In this note we re-visit the fundamental question of the strong law of large numbers and central limit theorem for processes in continuous time with conditional stationary and inde…
The Brownian marble
Samuel G. G. Johnston, Andreas Kyprianou, Tim Rogers +1
Let be a measurable function. Consider coalescing Brownian motions started from every point in the subset of $[0,\inf…
-stable Lévy processes entering the half space or a slab
Andreas E. Kyprianou, Sonny Medina, Juan Carlos Pardo
Recent fluctuation identities for -stable Lévy processes have decomposed paths using generalised spherical polar coordinates revealing an underlying Markov Additive Process (MAP…