OxTalks is Changing
During Michaelmas Term, OxTalks will be moving to a new platform (full details are available on the Staff Gateway).
For now, continue using the current page and event submission process (freeze period dates to be advised).
If you have any questions, please contact halo@digital.ox.ac.uk
The critical 2d stochastic heat flow
We study the 2d Stochastic Heat Equation, that is the heat equation in two space dimensions with a multiplicative random potential (space-time white noise). This equation is ill-defined due to the singularity of the potential and we regularise it by discretising space-time, so that the solution can be identified with the partition function of a statistical mechanics model, the so-called directed polymer in random environment. We prove that, as discretisation is removed and the noise strength is rescaled in a critical way, the solution has a well-defined and unique limit: a universal process of random measures on R^2, which we call the critical 2d Stochastic Heat Flow. We investigate its features, showing that it cannot be the exponential of a generalised Gaussian field.
(joint work with R. Sun and N. Zygouras)
Date:
12 June 2023, 14:00
Venue:
Mathematical Institute, Woodstock Road OX2 6GG
Venue Details:
L5
Speaker:
Francesco Caravenna (Milano-Bicocca)
Organising department:
Department of Statistics
Part of:
Probability seminar
Booking required?:
Not required
Audience:
Public
Editors:
Christina Goldschmidt,
James Martin
