3 papers
math.PR2026
Lecture notes on the flow equation approach to singular stochastic PDEs
PaweÅ 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
Parabolic stochastic quantisation of the fractional model in the full subcritical regime
PaweÅ Duch, Massimiliano Gubinelli, Paolo Rinaldi
We present a construction of the fractional Euclidean quantum field theory on in the full subcritical regime via parabolic stochastic quantisation. Our approa…
math.PR2025
Ergodicity of infinite volume at high temperature
PaweÅ 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,…