Jonas Tölle
University Lecturer
Docent in Mathematics
Dr. math. habil.

Preferred way of contact:
jonasmtoelle [usual symbol] gmail.com

Photo by Peter Thornton

Jonas Tölle is a mathematician with research topics ranging from nonlinear functional and variational analysis, stochastic analysis and theory and applications of stochastic partial differential equations. Currently (in 2023), he has a position as a University Lecturer (yliopistonlehtori) for Mathematics and Statistics at the Department of Mathematics and Systems Analysis at the Aalto University, Finland. He is also a Docent (dosentti) in mathematics at the University of Helsinki. He has also worked as a part-time photographer/photojournalist.

European Mathematical Society (EMS)
Finnish Mathematical Society (SMY)
German Mathematical Society (DMV)
Suomen tiedetoimittajain liitto ry (Finnish association of science editors and journalists)

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

David Hilbert

Webpage last updated September 27, 2023

  • 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

Accepted for journal publication

    1. J. M. Tölle (with E. Hausenblas). The stochastic Klausmeier system and a stochastic Schauder-Tychonoff type theorem. To appear in Potential Analysis (2023), 60 pp., arXiv:1912.00996.
    2. J. M. Tölle (with D. Blömker). Singular limits for stochastic equations. To appear in Stochastics and Dynamics (2023+), 24 pp., https://doi.org/10.1142/S0219493723500405, author accepted manuscript available at arXiv:2204.09545.
    3. J. M. Tölle (with M. Hinz and L. Viitasaari). Variability of paths and differential equations with BV-coefficients. To appear in Annales de l’Institut Henri Poincaré (B) – Probabilités et Statistiques (2022+), 46 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. https://doi.org/10.1007/978-3-319-74929-7_14.

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, http://arxiv.org/abs/1103.0229v2, 2011, 11 pp.