Publications and Preprints

  1. N. Bou-Rabee, K.Schuh: "Convergence of unadjusted Hamiltonian Monte Carlo for mean-field models." Electron. J. Probab. 28 1 - 40, 2023. https://doi.org/10.1214/23-EJP970, [arXiv:2009.08735]
  2. A. Durmus, A. Eberle, A. Guillin, K. Schuh: "Sticky nonlinear SDEs and convergence of McKean–Vlasov equations without confinement". Stoch PDE: Anal Comp (2023). https://doi.org/10.1007/s40072-023-00315-8, [arXiv:2201.07652]
  3. K. Schuh: "Global contractivity for Langevin dynamics with McKearn-Vlasov forces and uniform in time propagation of chaos", Ann. Inst. H. Poincaré Probab. Statist. 60 (2) 753 - 789, May 2024. https://doi.org/10.1214/22-AIHP1337 , [arXiv:2206.03082]

Thesis:

  • K. Schuh: Convergence of McKean-Vlasov processes and Markov Chain Monte Carlo methods for mean-field models, PhD thesis, 2022

Preprints:

  1. N. Bou-Rabee, K. Schuh: Nonlinear HMC & its Particle Approximation, preprint, arXiv:2308:11491, 2023
  2. A. Jüngel, K. Schuh: Long-time behavior for discretization schemes of Fokker-Planck equations via couplings, arXiv:2403.10111, 2024
  3. K.Schuh, P. A. Whalley: Convergence of kinetic Langevin samplers for non-convex potentials, arXiv:2405.09992, 2024
  4. P. Monmarché, K. Schuh: Non-asymptotic entropic bounds for non-linear kinetic Langevin sampler with second-order splitting scheme, arXiv:2412.03560, 2024
  5. K. Schuh, I. Souttar:  Conditions for uniform in time convergence: applications to averaging, numerical discretisations and mean-field systems, arXiv:2412.05239, 2024