3 papers
math.PR2025
Stability analysis of a branching diffusion solver for semilinear heat equations
Qiao Huang, Nicolas Privault
Stochastic branching algorithms provide a useful alternative to grid-based schemes for the numerical solution of partial differential equations, particularly in high-dimensional se…
math.PR2025
Probabilistic representation of ODE solutions with quantitative estimates
Qiao Huang, Nicolas Privault
This paper considers the probabilistic representation of the solutions of ordinary differential equations (ODEs) by the generation of marked random trees in which marks can be inte…
q-bio.PE2025
Binary Galton-Watson trees with mutations
Qiao Huang, Nicolas Privault
We consider a multitype Galton-Watson process that allows for the mutation and reversion of individual types in discrete and continuous time. In this setting, we explicitly compute…