Highlights

Welcome Johanna Weinberger

Byadmin 23 September 202624 September 2026

We are delighted to welcome Johanna Weinberger to the group. Johanna joins the Max Planck Institute for Mathematics in the Sciences as a joint postdoctoral researcher with Benjamin Gess, Felix Otto, and Nicolas Perkowski.

Her research focuses on stochastic partial differential equations, regularization by noise, interacting particle systems, and superprocesses. Johanna completed her PhD in Mathematics at the Technion and previously studied at TU Berlin and worked as a research assistant at Martin Luther University Halle-Wittenberg.

Meet Johanna

Publications

Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits
Byadmin 25 June 20249 October 2026

Published · Stochastic processes and their applications, 193 (2026), p. 104847. Higher order fluctuation expansions for stochastic heat equations (SHE) with nonlinear, non-conservative and conservative noise are obtained. These Edgeworth-type expansions describe the asymptotic behavior of solutions in suitable joint scaling regimes of…

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Publications

Weak synchronisation for McKean–Vlasov SDEs
Byadmin 8 September 202627 September 2026

Synchronisation by noise for McKean–Vlasov stochastic differential equations is investigated. A transfer principle is introduced by which synchronisation by noise and diagonal mixing can be transferred from an associated limiting frozen-diffusion SDE to a genuinely law-dependent McKean–Vlasov SDE. The usefulness…

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Publications

Large spikes in SGD: a large-deviations view of catapults
Byadmin 22 July 2026

Workshop report · Oberwolfach Reports 23(1), 698–700 (2026). A large-deviations perspective on spikes and catapult behaviour in stochastic gradient descent.

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Member Publication Archive

Well-posedness of the stochastic thin-film equation with an interface potential
Byadmin 19 March 20249 October 2026

Published · Communications in Mathematical Physics 407, 158 (2026). We consider strictly positive solutions to a class of fourth-order conservative quasilinear SPDEs on the $d$-dimensional torus modeled after the stochastic thin-film equation. We prove local Lipschitz estimates in Bessel potential spaces…

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Publications

The Schrödinger equation with fluctuating nonlinearity in the energy space
Byadmin 9 September 202627 September 2026

We study nonlinear Schrödinger equations with nonlinear Stratonovich noise in their energy space $H^1(\mathbb R^d;\mathbb C)$. By combining the stochastic Strichartz estimates derived in [Potential Anal. 41 (2014), pp.\ 269–315] with the approach from [Ann.\ Inst.\ H.\ Poincaré Phys.\ Théor.\…

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Publications

Probabilistically Strong Solutions to Stochastic Euler Equations
Byadmin 29 January 202627 September 2026

In this paper, we establish the existence of probabilistically strong, measure-valued solutions for the stochastic incompressible Navier–Stokes equations and prove their convergence, in the vanishing viscosity limit, to probabilistically strong solutions for the stochastic incompressible Euler equations. In particular, this solves the…

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