# Quantum Fields and Probability

@article{Kupiainen2016QuantumFA, title={Quantum Fields and Probability}, author={Antti Kupiainen}, journal={arXiv: Probability}, year={2016} }

I review some recent work where ideas and methods from Quantum Field Theory have proved useful in probability and vice versa. The topics discussed include the use of Renormalization Group theory in Stochastic Partial Differential Equations driven by space-time white noise and the use of the theory of Gaussian Multiplicative Chaos in the study of two dimensional Liouville Conformal Field theory.

## 2 Citations

### Probabilistic Liouville field theory on the two-dimensional sphere

- Mathematics
- 2017

Liouville field theory, Liouville quantum gravity, Gaussian free field, Gaussian multiplicative chaos Kumpulan tiedekirjasto In this thesis we construct the probabilistic Liouville field theory on…

### HIGH ORDER PARACONTROLLED CALCULUS

- MathematicsForum of Mathematics, Sigma
- 2019

We develop in this work a general version of paracontrolled calculus that allows to treat analytically within this paradigm a whole class of singular partial differential equations with the same…

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