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.

Journal articles

  • Fixing the flux: A dual approach to computing transport coefficients, Noé Blassel & Gabriel Stoltz, 2024, Journal of Statistical Physics , vol. 191, art. no. 17. DOI, arXiv, HAL, Code
  • Shape optimization of metastable states, Noé Blassel, Tony Lelièvre & Gabriel Stoltz, 2026, to appear in Mathematical Models and Methods in Applied Sciences. DOI, arXiv, HAL, Code, Data
  • Overdamped limits for Langevin dynamics with position-dependent coefficients via $L^2$-hypocoercivity, Noé Blassel, 2026, Stochastic Processes and their Applications, vol. 199, art. no. 104995. DOI, arXiv, HAL

Preprints

  • Quantitative low-temperature spectral asymptotics for reversible diffusions in temperature-dependent domains, Noé Blassel, Tony Lelièvre & Gabriel Stoltz, 2025. arXiv, HAL
  • Mathematical analysis and numerical methods for the computation of transport coefficients in molecular dynamics, Noé Blassel, Louis Carillo, Shiva Darshan, Raphaël Gastaldello, Alessandra Iacobucci, Elisa Marini, Régis Santet, Xiaocheng Shang, Gabriel Stoltz, Urbain Vaes, 2026. arXiv, HAL, Code

Software

I am one of the main contributors to the POPSRegression.jl package. Research codes for my numerical work are available on my github.

Invited talks and teaching in research schools

Contributed talks and other scientific outreach