Mosco convergence of gradient forms with non-convex potentials II

M Grothaus, S Wittmann - arXiv preprint arXiv:2408.15437, 2024 - arxiv.org
This article provides a scaling limit for a family of skew interacting Brownian motions in the
context of mesoscopic interface models. Let $ d\in\mathbb N $, $ y_1,\dots, y_M\in\mathbb R …

On the membrane model and the discrete Bilaplacian

FM Schweiger - 2021 - bonndoc.ulb.uni-bonn.de
This thesis is concerned with the membrane model, an example of a discrete random
interface model. This model arises, for example, when studying thermal fluctuations in …

Large scale asymptotics for Markov processes in the analytic framework of Mosco-Kuwae-Shioya

S Wittmann - 2023 - kluedo.ub.rptu.de
In this thesis, a new concept to prove Mosco convergence of gradient-type Dirichlet forms
within the\(L^ 2\)-framework of K.~ Kuwae and T.~ Shioya for varying reference measures is …

Scaling limits of some random interface models

B Dan - 2020 - search.proquest.com
In this thesis, we study some probabilistic models of random interfaces. Interfaces between
different phases have been topic of considerable interest in statistical physics. These …