2 citations · 3 across the 3 of their papers we have counts for
4 papers
Numerical Analysis of differential equations on weighted Sobolev spaces: beyond classical orthogonal polynomials
Maxime Breden, Hugo Chu
We lay mathematical foundations for the Numerical Analysis of differential equations on Sobolev spaces weighted by a Gibbs probability measure $ν(\mathrm{d} x) = e^{-V(x)}\mathrm{d…
Rigorous enclosure of Lyapunov exponents of stochastic flows
Maxime Breden, Hugo Chu, Jeroen S. W. Lamb +1
We develop a powerful and general method to provide rigorous and accurate upper and lower bounds for Lyapunov exponents of stochastic flows. Our approach is based on computer-assis…
Constructive proofs for some semilinear PDEs on
Maxime Breden, Hugo Chu
We develop computer-assisted tools to study semilinear equations of the form \begin{equation*} -Δu -\frac{x}{2}\cdot \nabla{u}= f(x,u,\nabla u) ,\quad x\in\mathbb{R}^d. \end{equati…
The conditioned Lyapunov spectrum for random dynamical systems
Matheus M. Castro, Dennis Chemnitz, Hugo Chu +3
We establish the existence of a full spectrum of Lyapunov exponents for memoryless random dynamical systems with absorption. To this end, we crucially embed the process conditioned…