Overview

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 2022), 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.

Memberships
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 November 21, 2022

  • 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 D. Blömker). Singular limits for stochastic equations. Preprint, submitted (2022), 23 pp., arXiv:2204.09545.

    Abstract.

  • J. M. Tölle (with F. Seib and W. Stannat). Stability and moment estimates for the stochastic singular Φ-Laplace equation. Preprint, submitted (2022), 24 pp., arXiv:2103.03194.

    Abstract.

  • 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.

    Abstract.

Accepted for journal publication

  1. J. M. Tölle (with M. Hinz and L. Viitasaari). Variability of paths and differential equations with BV-coefficients. Accepted for publication in Annales de l’Institut Henri Poincaré – Probabilités et Statistiques (2022), 46 pp., arXiv:2003.11698.

    Abstract.

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.

Theses