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“He who seeks for methods without having a definite problem in mind seeks for the most part in vain.”

David Hilbert

Webpage last updated December 1, 2021

  • Stochastic dynamics and stochastic partial differential equations
  • (Stochastic) variational calculus and infinite dimensional optimization
  • Time-evolution models from biology, ecology and neuroscience involving randomness
  • Singular phenomena, mathematical perturbation theory and modeling of critical physical systems
  • Asymptotic invariance properties, ergodicity and uniqueness questions of complex stochastic systems
  • Theoretical approximation theory and variational convergence

Submitted for peer review

  • J. M. Tölle (with M. Hinz and L. Viitasaari). Sobolev regularity of occupation measures and paths, variability and compositions. Preprint, submitted (2021), 31 pp., arXiv:2105.06249.


  • J. M. Tölle (with F. Seib and W. Stannat). Stability and moment estimates for the stochastic singular Φ-Laplace equation. Preprint, submitted (2021), 23 pp., arXiv:2103.03194.


  • J. M. Tölle (with E. Hausenblas). The stochastic Klausmeier system and a stochastic Schauder-Tychonoff type theorem. Preprint, submitted (2021), 52 pp., arXiv:1912.00996.


  • J. M. Tölle (with M. Hinz and L. Viitasaari). Variability of paths and differential equations with BV-coefficients. Preprint, submitted (2020), 68 pp., arXiv:2003.11698.


Journal Publications

Published in peer reviewed proceedings

      1. J. M. Tölle. Estimates for nonlinear stochastic partial differential equations with gradient noise via Dirichlet forms. In: Eberle A., Grothaus M., Hoh W., Kassmann M., Stannat W., Trutnau G. (eds) Stochastic Partial Differential Equations and Related Fields. SPDERF 2016. Springer Proceedings in Mathematics & Statistics, vol 229. Springer, Cham.

Corrigenda / Addenda

Working papers

      1. J. M. Tölle (with P. Beissner). A compact topology for σ-algebra convergence. Working paper, (2018), 23 pp., arXiv:1802.05920.
      2. J. M. Tölle. Convergence of solutions to the p-Laplace evolution equation as p goes to 1. Preprint,, 2011, 11 pp.


(in chronological order – most recent first)

Erdős number: 3
P. Erdős — C. J. Colbourn — M. Scheutzow — J. M. Tölle