People

Jonas Tölle

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/...

[email protected]

Postal address

Otakaari 1 02150 Espoo Finland

Areas of expertise

111 Matematiikka, 112 Tilastotiede, Puhdas matematiikka, Sovellettu matematiikka

Research groups

Analysis, Yliopistonlehtori
Statistics and Mathematical Data Science, Yliopistonlehtori

Publications

1D stochastic pressure equation with log-correlated Gaussian coefficients

Benny Avelin, Tuomo Kuusi, Patrik Nummi, Eero Saksman, Jonas M. Tölle, Lauri Viitasaari 2024 arXiv.org

Improved regularity for the stochastic fast diffusion equation

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

Singular limits for stochastic equations

Dirk Blömker, Jonas M. Tölle 2023 STOCHASTICS AND DYNAMICS

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

Erika Hausenblas, Jonas M. Tölle 2023 Potential Analysis

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 MATHEMATIQUES PURES ET APPLIQUEES

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

Invariant measures for monotone SPDEs with multiplicative noise term

Abdelhadi Es-Sarhir, Michael Scheutzow, Jonas M. Tölle, Onno Van Gaans 2013 Applied Mathematics and Optimization

Convergence of invariant measures for singular stochastic diffusion equations

Ioana Ciotir, Jonas M. Tölle 2012 Stochastic Processes and their Applications

Uniqueness of weighted Sobolev spaces with weakly differentiable weights

Jonas M. Tölle 2012 Journal of Functional Analysis

On an EVI curve characterization of Hilbert spaces

Max K. Von Renesse, Jonas M. Tölle 2012 Journal of Mathematical Analysis and Applications

Existence and uniqueness of invariant measures for stochastic evolution equations with weakly dissipative drifts

Wei Liu, Jonas M. Tölle 2011 Electronic Communications in Probability

Variational convergence of nonlinear partial differential operators on varying Banach spaces

Jonas M. Tölle 2010

Convergence of non-symmetric forms with changing reference measures

Jonas M. Tölle 2006