Themes
I am working on mathematical and algorithmic questions motivated by applications in computational physics, specifically the computation of kinetic properties in molecular systems. My work has focused on properties of metastable and nonequilibrium stochastic dynamics, using tools from both PDE and probability theory, such as semiclassical analysis, shape optimization for eigenvalue problems and constrained SDEs. I am also very interested in the development of numerical methods addressing the challenges of metastability and transport coefficients.
Publications / Preprints
- Fixing the flux: A dual approach to computing transport coefficients, Noé Blassel & Gabriel Stoltz, 2024, Journal of Statistical Physics [Preprint: arXiv, HAL,Paper: DOI, Code]
- Quantitative low-temperature spectral asymptotics for reversible diffusions in temperature-dependent domains, Noé Blassel, Tony Lelièvre & Gabriel Stoltz, 2025 [Preprint: arXiv, HAL]
- Shape optimization of metastable states, Noé Blassel, Tony Lelièvre & Gabriel Stoltz, 2025 [Preprint: arXiv, HAL, Code, Data]
Talks / Scientific outreach
- Workshop: Implementing Dissipative Particle Dynamics in Molly (12/2022, Jupyter notebook)
- Meeting of ANR SINEQ. Presentation on Norton dynamics. (12/2022, slides)
- CECAM Mixed-Gen online meetup on simulation of transport processes. Poster on Norton dynamics. (12/2022, poster)
- GAMM 2023, Dresden 93d annual meeting in Dresden. Talk on Norton dynamics. (05/2023, slides)
- MCM2023, Paris conference on Monte-Carlo methods and applications in Paris. Talk on Norton dynamics. (06/2023), slides
- SINEQ Summer School 2023: hands-on session on Parallel Replica dynamics. (09/2023), GitHub, notebook
- SINEQ Summer School 2023: Computing transport coefficients in Molly. (09/2023), slides
- Spring Long Program at IMSI, 2024, Chicago: How to find good metastable states? (04/2024), slides, video
- PASC 2024, Zürich: Fixing the flux with Molly.jl (06/2024) slides
- Journées de Probabilités 2024, Bordeaux: Sharp spectral asymptotics for metastable diffusions trapped in a temperature-dependent domain (06/2024) slides
- Kinetic Equations, Mathematical Physics and Probability, BCAM, Bilbao: Sharp spectral asymptotics for metastable diffusions trapped in moving domains (06/2024) slides
- CERMICS Young Researchers Seminar: Sharp spectral asymptotics for metastable diffusions trapped in moving domains (06/2024) slides
- GAMM-MOANSI ANNUAL MEETING 2024: Sharp spectral asymptotics for metastable diffusions in temperature-dependent traps. (11/24) slides
- Todai WINGS program meetup at École des Ponts: Mathematical Questions in Molecular Dynamics. (02/25) slides
- Presentation to MatMat team at EPFL: Shape-optimization of metastable timescales. (04/25) slides
- Workshop “QSD and applications” at CERMICS: Shape-optimization of metastable timescales. (05/25) slides
- 12th French Biennal of Applied and Industrial Mathematics (SMAI2025): Shape-optimization of metastable timescales for accelerated sampling of trajectories. (06/25) slides
- “New trends and applications around generalized Fokker-Planck operators” program at Bernoulli Center, EPFL, Lausanne: Shape-sensitive spectral asymptotics for metastable timescales. slides
- “Sampling High-Dimensional Probability Measures with Applications in (Non)Equilibrium Molecular Dynamics and Statistics” CECAM Summer School at University of Birmingham: Fixing the flux, a dual approach to computing transport coefficients. (07/25) slides
- ANR SINEQ final conference, L’Aquila. (10/2025) slides