Paweł Duch

most citedStochastic quantization of two-dimensional

P (Φ)

Quantum Field Theory

3 citations · 4 across the 4 of their papers we have counts for

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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 $Φ_{3}^{4}$ at high temperature

Paweł Duch, Martin Hairer, Jaeyun Yi +1

We consider the infinite volume $Φ_{3}^{4}$ dynamic and show that it is globally well-posed in a suitable weighted Besov space of distributions. At high temperatures / small coupling,…

math.PR2023★ 1 cited

Parabolic stochastic quantisation of the fractional $Φ_{3}^{4}$ model in the full subcritical regime

Paweł Duch, Massimiliano Gubinelli, Paolo Rinaldi

We present a construction of the fractional $Φ^{4}$ Euclidean quantum field theory on $R^{3}$ in the full subcritical regime via parabolic stochastic quantisation. Our approac…

Lecture notes on the flow equation approach to singular stochastic PDEs

Ergodicity of infinite volume Φ34​ at high temperature

Parabolic stochastic quantisation of the fractional Φ34​ model in the full subcritical regime

Ergodicity of infinite volume $Φ_{3}^{4}$ at high temperature

Parabolic stochastic quantisation of the fractional $Φ_{3}^{4}$ model in the full subcritical regime