Workgroup for Stochastic Analysis



Stochastic Analysis meets QFT - Critical Theory

University of Münster, June 12-14, 2023

Supported by the ERC Grant "Global Estimates for Singular Stochastic PDEs" and the Cluster of Excellence Mathematics Münster


  • Ajay Chandra (Imperial College)
  • Hendrik Weber (Münster)
  • Raimar Wulkenhaar (Münster)

Over the last years, a number of new methods from stochastic analysis have been developed that allowed a new perspective on constructive field theory. Among these are the theory of singular stochastic PDEs, Barashkov-Gubinelli’s variational approach, and constructive approaches to Polchinski's continuous renormalisation group flow. While much progress has been made on controlling small scales for subcritical/superrenormalisable models there is much less known regarding the same question  for critical/just-renormalizable models.

The constructive renormalisation programme has been successfully applied to quantum field theories of matrix models and tensor models. Matrix models tend to be asymptotically safe and tensor models asymptotically free at their critical dimension. These models are comparably simple and thus provide an ideal target to extend the above stochastic analysis methods to critical dimension.

The aim of this short workshop is to bring together some leading experts from both the stochastic analysis community and the QFT community to explore these exciting developments further.

For more information see


12 Jun - 15 Jun 2023

  • Simon Gabriel ((University of Warwick)

19 Apr - 23 Apr 2023

  • Prof. Dr. Jean-Christoph Mourrat (École normale supérieure de Lyon)

17 Apr - 18 Apr 2023

  • Prof. Dr. Benjamin Gess (Universität Bielefeld)
  • Dr Paul Gassiat (Université Paris-Dauphine)

27 Feb - 03 Mar 2023

  • Dr Giuseppe Cannizzaro (University of Warwick)

20 Feb - 24 Feb 2023

  • Dr Ajay Chandra (Imperial College London)
  • Dr Pavlos Tsatsoulis (Universität Bielefeld)

Dr Pavlos Tsatsoulis will give a talk on Lyapunov exponents and synchronisation by noise for systems of SPDEs on Wed 22 Feb 5 pm room SRZ 216


Summer School on Wave Turbulence

MIT, Cambridge | July 24-28, 2023

Sponsored by the Simons Collaboration on Wave Turbulence

Four Hour Short Course By:

  • Raffaele Ferrari (MIT)
  • Isabelle Gallagher (Ecole Normale Supérieure)
  • Jacques Vanneste (University of Edinburgh)
  • Hendrik Weber (University of Münster)
  • Miguel Escobedo (Universidad del País Vasco)

This summer school will introduce participants to several topics in partial differential equations at the intersection of mathematical analysis and physics through five lecture series, covering both theory and application. There are two main themes: kinetic equations describing large systems of interacting waves or particles and singular stochastic PDE. The target audience is graduate students and early-career researchers.

Application deadline: 15 May 2023

For more information see



43rd Conference on Stochastic Processes and their Applications

Lisbon, Portugal from 24 to 28 July 2023

Organised under patronage of the Bernoulli Society

Session IS12 - Singular SPDEs

Session Organiser: Hendrik Weber, Universiy of Münster

  • Michael Hofstetter, University of Cambridge
  • Hao Shen, University of Wisconsin-Madison
  • Yu Deng, University of Southern California

For more information see


ESI Medal 2022 for Prof. Martin Hairer / Award Ceremony

Universität Wien, November 4 2022

Prof. Hendrik Weber (University of Münster): Convergence of the Ising-Kac model to Phi-4 in three dimensions