4 papers
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…
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 s…
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…