[PDF][PDF] An isomorphism theorem for Ginzburg-Landau interface models and scaling limits
JD Deuschel, PF Rodriguez - arXiv preprint arXiv:2206.14805, 2022 - ma.imperial.ac.uk
We introduce a natural measure on bi-infinite random walk trajectories evolving in a time-
dependent environment driven by the Langevin dynamics associated to a gradient Gibbs …
dependent environment driven by the Langevin dynamics associated to a gradient Gibbs …
Spins, percolation and height functions
M Lis - Electronic Journal of Probability, 2022 - projecteuclid.org
To highlight certain similarities in graphical representations of several well known two-
dimensional models of statistical mechanics, we introduce and study a new family of models …
dimensional models of statistical mechanics, we introduce and study a new family of models …
Conformally invariant boundary arcs in double dimers
M Lis, L Rey, K Ryan - arXiv preprint arXiv:2409.18015, 2024 - arxiv.org
We consider two different versions of the double dimer model on a planar domain, where we
either fold a single dimer cover on a symmetric domain onto itself across the line of …
either fold a single dimer cover on a symmetric domain onto itself across the line of …
Conformal invariance of random currents: a stability result
HB Chen, J Xia - arXiv preprint arXiv:2306.10625, 2023 - arxiv.org
We show the convergence of the single sourceless critical random current to a limit
identifiable with the nested CLE (3). Our approach is based on viewing the random current …
identifiable with the nested CLE (3). Our approach is based on viewing the random current …