Thermodynamic and scaling limits of the non-gaussian membrane model
E Thoma - The Annals of Probability, 2023 - projecteuclid.org
We characterize the behavior of a random discrete interface ϕ on [− L, L] d∩ Z d with
energy∑ V (Δ ϕ (x)) as L→∞, where Δ is the discrete Laplacian and V is a uniformly convex …
energy∑ V (Δ ϕ (x)) as L→∞, where Δ is the discrete Laplacian and V is a uniformly convex …
Localization of Random Surfaces with Monotone Potentials and an FKG-Gaussian Correlation Inequality
M Sellke - arXiv preprint arXiv:2402.18737, 2024 - arxiv.org
The seminal 1975 work of Brascamp-Lieb-Lebowitz initiated the rigorous study of Ginzberg-
Landau random surface models. It was conjectured therein that fluctuations are localized on …
Landau random surface models. It was conjectured therein that fluctuations are localized on …
Results on the Membrane Model and the Coulomb Gas
E Thoma - 2023 - search.proquest.com
In the first part of the thesis, we study the membrane model, a random discrete interface
height function 𝜙 supported on a large box of side length 𝐿 within the 𝑑-dimensional integer …
height function 𝜙 supported on a large box of side length 𝐿 within the 𝑑-dimensional integer …
Scaling limit of semiflexible polymers: a phase transition
A Cipriani, B Dan, RS Hazra - Communications in Mathematical Physics, 2020 - Springer
We consider a semiflexible polymer in\, Z\,^ d Z d which is a random interface model with a
mixed gradient and Laplacian interaction. The strength of the two operators is governed by …
mixed gradient and Laplacian interaction. The strength of the two operators is governed by …