Sarah-Jean Meyer, Univ. Oxford: The FBSDE approach to sine-Gordon up to 6? (Oberseminar Mathematische Stochastik)
Wednesday, 10.04.2024 16:00 im Raum SRZ 204
I will present a stochastic analysis of the sine-Gordon Euclidean quantum field (cos(? ?))_2 on the full space up to the second threshold, i.e. for ?^2<6*?. The basis of our method is a stochastic quantisation equation given by a forward-backward stochastic differential equation (FBSDE) for a decomposition (X_t)_(t?0) of the interacting Euclidean field X_? along a scale parameter t?0 using an approximate version of the renormalisation flow equation. The FBSDE produces a scale-by-scale coupling of the interacting field with the Gaussian free field without cut-offs and describes the optimiser of a stochastic control problem for Euclidean QFTs introduced by Barashkov and Gubinelli. I will first explain the general set-up for the FBSDE approach. In the case of the sine-Gordon model, I will showcase some applications of the FBSDE to illustrate that it can be used effectively to obtain results about large deviations, integrability, decay of correlations for local observables, singularity with respect to the free field, Osterwalder-Schrader axioms and other properties. This is joint work with Massimiliano Gubinelli.
Angelegt am Monday, 29.01.2024 15:44 von Anita Kollwitz
Geändert am Monday, 18.03.2024 13:34 von Frank Wübbeling
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Dominik Schmid, Univ. Bonn: Approximating the stationary distribution of the open ASEP (Oberseminar Mathematische Stochastik)
Wednesday, 08.05.2024 14:00 im Raum SRZ 216
The exclusion process is one of the best-studied examples of an interacting particle system. In this talk, we consider the stationary distribution of asymmetric simple exclusion processes with open boundaries. We project the stationary distribution onto a subinterval, whose size is allowed to grow with the length of the underlying segment. Depending on the boundary parameters for the exclusion process, we provide sufficient conditions such that the projected stationary distribution is close in total variation distance to a product measure. This talk is based on joint work with Evita Nestoridi.
Angelegt am Monday, 05.02.2024 09:24 von Anita Kollwitz
Geändert am Wednesday, 14.02.2024 16:06 von Anita Kollwitz
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