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 2025), 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)
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 June 3, 2025

  • Stochastic dynamics and stochastic partial differential equations
  • (Stochastic) variational calculus and infinite dimensional optimization
  • Time-evolution models from fluid dynamics, 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

    1. J. M. Tölle (with A.-M. Otsetova). Ergodicity for stochastic neural field equations. Preprint, submitted (2025), 30 pp., arXiv:2505.14012.
    2. J. M. Tölle (with G. Barrera). Ergodicity for locally monotone stochastic evolution equations with Lévy noise. Preprint, submitted (2024), 46 pp., arXiv:2412.01381.
    3. J. M. Tölle (with B. Avelin, T. Kuusi, P. Nummi, E. Saksman and L. Viitasaari). 1D stochastic pressure equation with log-correlated Gaussian coefficients. Preprint, submitted (2024), 37 pp., arXiv:2402.09127.

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

Theses