Ihmiset

Jonas Tölle

Senior University Lecturer

T302 Dept. Mathematics and Systems Analysis

Stochastic dynamics and noise-driven partial differential equations
Time-evolving models from biology, ecology and neuroscience under the influence of randomness
Singular phenomena, mathematical perturbation theory and modeling of critical physical systems
Long-time behavior and uniqueness questions of complex stochastic systems

Full researcher profile

https://research.aalto.fi/...

Sähköposti

jonas.tolle@aalto.fi

Postiosoite

Otakaari 1 02150 Espoo Finland

Osaamisalueet

111 Mathematics, 112 Statistics and probability, Pure mathematics, Applied mathematics

Palkinnot

Doctoral Dissertation and Defense completed with highest honors (mit Auszeichnung)

Award or honor granted for a specific work Department of Mathematics and Systems Analysis Feb 2010

Stochastic and Dynamics Best Papers Awards 2023

Award or honor granted for a specific work Department of Mathematics and Systems Analysis Nov 2024

Tutkimusryhmät

Analysis, Senior University Lecturer
Mathematical Statistics and Data Science, Senior University Lecturer

Julkaisut

1D stochastic pressure equation with log-correlated Gaussian coefficients

Benny Avelin, Tuomo Kuusi, Patrik Nummi, Eero Saksman, Jonas M. Tölle, Lauri Viitasaari 2026 Stochastic Processes and their Applications

Mixing times for the stochastic p-Laplace equation

Gerardo Barrera, Jonas M. Tölle 2026 Springer INDAM Series on the Workshop on Irregular Stochastic Analysis

Stochastic evolution equations with nonlinear diffusivity, recent progress and critical cases

Ioana Ciotir, Dan Goreac, Jonas M. Tölle 2026 Stochastic analysis for irregular stochastic and deterministic models

Renormalized stochastic pressure equation with log-correlated Gaussian coefficients

Benny Avelin, Tuomo Kuusi, Patrik Nummi, Eero Saksman, Jonas M. Tölle, Lauri Viitasaari 2025 Journal of Differential Equations

On fractal minimizers and potentials of occupation measures

Michael Hinz, Jonas M. Tölle, Lauri Viitasaari 2025 arXiv.org

Variability and the existence of rough integrals with irregular coefficients

Michael Hinz, Jonas M. Tölle, Lauri Viitasaari 2025 Electronic Communications in Probability

Ergodicity for stochastic neural field equations

Anna-Mariya Otsetova, Jonas M. Tölle 2025 arXiv.org

Ergodicity and mixing for locally monotone stochastic evolution equations

Gerardo Barrera Vargas, Jonas M. Tölle 2024 arXiv.org

Improved regularity for the stochastic fast diffusion equation

Ioana Ciotir, Dan Goreac, Jonas M. Tölle 2024 Electronic Communications in Probability

The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem

Erika Hausenblas, Jonas M. Tölle 2024 Potential Analysis

Singular limits for stochastic equations

Dirk Blömker, Jonas M. Tölle 2023 STOCHASTICS AND DYNAMICS

Variability of paths and differential equations with BV-coefficients

Michael Hinz, Jonas M. Tölle, Lauri Viitasaari 2023 Annales de l'Institut Henri Poincaré B: Probabilités et Statistiques

Stability and moment estimates for the stochastic singular Φ-Laplace equation

Florian Seib, Wilhelm Stannat, Jonas M. Tölle 2023 Journal of Differential Equations

Sobolev regularity of occupation measures and paths, variability and compositions

Michael Hinz, Jonas M. Tölle, Lauri Viitasaari 2022 Electronic Journal of Probability

A gradient flow formulation for the stochastic Amari neural field model

Christian Kuehn, Jonas M. Tölle 2019 Journal of Mathematical Biology

Stochastic evolution equations with singular drift and gradient noise via curvature and commutation conditions

Jonas M. Tölle 2019 Stochastic Processes and their Applications

Estimates for nonlinear stochastic partial differential equations with gradient noise via Dirichlet forms

Jonas M. Tölle 2018 Stochastic Partial Differential Equations and Related Fields. SPDERF 2016

Nonlinear stochastic partial differential equations with singular diffusivity and gradient Stratonovich noise

Ioana Ciotir, Jonas Tölle 2016 Journal of Functional Analysis

Ergodicity and local limits for stochastic local and nonlocal p-Laplace equations

Benjamin Gess, Jonas Tölle 2016 SIAM Journal on Mathematical Analysis

Stability of solutions to stochastic partial differential equations

Benjamin Gess, Jonas M. Tölle 2016 Journal of Differential Equations

Multi-valued, singular stochastic evolution inclusions

Benjamin Gess, Jonas M. Tölle 2014 Journal de Mathématiques Pures et Appliquées

Corrigendum to "Convergence of invariant measures for singular stochastic diffusion equations'' [Stochastic Process. Appl. 122 (2012) 1998--2017]

I. Ciotir, Jonas M. Tölle 2013 Stochastic Processes and their Applications