Dr. Pavlos Tsatsoulis

My research lies in the interplay of Probability and Analysis, centred around Stochastic Partial Differential Equations (SPDEs). I am mainly interested in singular SPDEs, that is, SPDEs driven by a rough random forcing. Such equations arise as scaling limits of discrete models in statistical mechanics. They also describe the natural reversible dynamics of infinite dimensional measures in the context of constructive quantum field theory.

My work is focused on the study of qualitative and quantitative properties of solutions to (singular) SPDEs, such as global existence and uniqueness, regularity properties, ergodicity, small noise asymptotics and synchronisation by noise. The techniques used vary from analytic to purely probabilistic, with key ideas from PDE theory, variational methods, stochastic calculus, Malliavin calculus and large deviation theory.