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 …
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 …
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 …