3 papers
math.PR2025
Lecture notes on the flow equation approach to singular stochastic PDEs
Paweł Duch
The flow equation approach is a robust framework applicable to a broad class of singular SPDEs, including those with fractional Laplacians, throughout the entire subcritical regime…
math.PR2025
Ergodicity of infinite volume at high temperature
Paweł Duch, Martin Hairer, Jaeyun Yi +1
We consider the infinite volume dynamic and show that it is globally well-posed in a suitable weighted Besov space of distributions. At high temperatures / small coupling,…
math-ph2023
Stochastic quantization of two-dimensional Quantum Field Theory
Paweł Duch, Wojciech Dybalski, Azam Jahandideh
We give a simple and self-contained construction of of the Euclidean Quantum Field Theory in the plane and verify the Osterwalder-Schrader axioms: translational and rotation…