52 citations · 173 across the 14 of their papers we have counts for
10 papers · 1 filter
Gradient Gibbs measures with non-convex potentials and the universality class of the Gaussian Free Field
Simon Buchholz, Codina Cotar, Florian Schweiger
We study a general class of gradient interface models with Hamiltonian , , assuming essentially that the potential is even, on $[0,\infty…
Aizenman-Wehr argument for a class of disordered gradient models
Simon Buchholz, Codina Cotar
We consider random gradient fields with disorder where the interaction potential on an edge can be expressed as $e^{-V_e(s)} = \int ρ(\mathrm{d}κ)\, e^{-κξ_e} e^{-\frac{κ…
Extremal decomposition for random Gibbs measures: From general metastates to metastates on extremal random Gibbs measures
Codina Cotar, Benedikt Jahnel, Christof Külske
The concept of metastate measures on the states of a random spin system was introduced to be able to treat the large-volume asymptotics for complex quenched random systems, like sp…
Edge- and vertex-reinforced random walks with super-linear reinforcement on infinite graphs
Codina Cotar, Debleena Thacker
In this paper we introduce a new simple but powerful general technique for the study of edge- and vertex-reinforced processes with super-linear reinforcement, based on the use of o…
Uniqueness of gradient Gibbs measures with disorder
Codina Cotar, Christof Külske
We consider - in uniformly strictly convex potential regime - two versions of random gradient models with disorder. In model (A) the interface feels a bulk term of random fields wh…
On a preferential attachment and generalized Pólya's urn model
Andrea Collevecchio, Codina Cotar, Marco LiCalzi
We study a general preferential attachment and Polya's urn model. At each step a new vertex is introduced, which can be connected to at most one existing vertex. If it is disconnec…