6 papers
Entropic repulsion to the middle layer
Max Mihailescu, Ron Peled
We consider height functions with even and convex interaction energy on the lattice , which are restricted to take values in the set …
On the rigidity of sloped height functions in and non-crossing surfaces
Arka Adhikari, Reza Gheissari, Ron Peled
We consider integer-valued height functions, with general convex interactions, placed on a slope. Sheffield (2003) conjectured that for all slopes, such height functions…
On the critical fugacity of the hard-core model on regular bipartite graphs
Daniel Hadas, Ron Peled
We establish long-range order for the hard-core model on a finite, regular bipartite graph above a threshold fugacity given in terms of expansion parameters of the graph. The resul…
Minimal surfaces in strongly correlated random environments
Barbara Dembin, Dor Elboim, Ron Peled
A minimal surface in a random environment (MSRE) is a -dimensional surface in -dimensional space which minimizes the sum of its elastic energy and its environment potenti…
Minimal surfaces in random environment
Barbara Dembin, Dor Elboim, Daniel Hadas +1
A minimal surface in a random environment (MSRE) is a surface which minimizes the sum of its elastic energy and its environment potential energy, subject to prescribed boundary con…
Columnar order in random packings of squares on the square lattice
Daniel Hadas, Ron Peled
We study random packings of squares with centers on the square lattice , in which the probability of a packing is proportional to to the number of sq…