Stochastic partial differential equations (SPDEs) extend classical partial differential equations by incorporating random forcings or coefficients, thereby modelling systems subject to intrinsic or ...

Stochastic dynamics of partial differential equations (PDEs) examines the interplay between deterministic evolution laws and random perturbations modelled as noise. Such equations extend classical ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...

Our research focus here employs probabilistic and analytic methods to explore complex random systems. At its core, the methods developed and utilized include a wide array of tools from stochastic ...

Compartment models have been proposed in the 1920s as a model for the spread of an infectious disease in a society, in a famous article by Kermack and ...