9 February 2025 - 14 February 2025

Organized by
Massimiliano Gubinelli (Oxford), Xue-Mei Li (EPF Lausanne)

Event page & registration


Tremendous progress has been made in the field of differential equations, including partial differential equations with noise. Fuelled by new techniques and modelling requirements, we can now handle a broader range of stochastic differential equations and stochastic partial differential equations. For instance, the solution theory for the KPZ equation and its cousin, the Stochastic Heat Equation, is well understood. The theory of stochastic differential equations, initially developed from Itˆo calculus based on driving processes of independent increments, has evolved to include autocorrelated driving noise processes. Researchers have also ventured into working with commonly seen nonlinearities and long-range dependent noise. Progress is being made in equations related to perturbed Hamiltonian systems and other perturbation models. Additionally, the dynamical theory is catching up with the solution theory, generating significant interest.
The workshop’s aim is to stay updated on the latest developments in these and related fields, and stimulate further research topics, looking at the main challenges and trends in stochastic differential equations, stochastic partial differential equations, and their dynamics.


SwissMAP Research Station, Les Diablerets, Switzerland