2 papers
math.AP2025
Conditional Speed and Shape Corrections for Travelling Wave Solutions to Stochastically Perturbed Reaction-Diffusion Systems
Mark van den Bosch, Christian H. S. Hamster, Hermen Jan Hupkes
In this work we perform rigorous small noise expansions to study the impact of stochastic forcing on the behaviour of planar travelling wave solutions to reaction-diffusion equatio…
math.PR2024
Notes on stochastic integration theory with respect to càdlàg semimartingales and a brief introduction to Lévy processes
Mark van den Bosch
The purpose of these notes is to distribute, mostly without proofs, fundamental definitions and results concerning the theory of semimartingales and stochastic integration. The mat…