1 citations · 1 across the 8 of their papers we have counts for
4 papers · 2 filters
Mixing rates for linear operators under infinitely divisible measures on Banach spaces
Camille Mau, Nicolas Privault
We derive rates of convergence for the mixing of operators under infinitely divisible measures in the framework of linear dynamics on Banach spaces. Our approach is based on the ch…
Gaussian fluctuations of generalized -statistics and subgraph counting in the binomial random-connection model
Qingwei Liu, Nicolas Privault
We derive normal approximation bounds for generalized -statistics of the form \begin{equation*} S_{n,k}(f):=\sum_{ 1 \leq β(1),\dots,β(k) \leq n \atop β(i)\neβ(j), \ 1\leq i\ne…
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…
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…