5 papers
Sharpness for monotone absorbing Interacting Particle Systems
Jean Bérard, Barbara Dembin, Laure Marêché
We prove a sharpness result for the dynamics of finite-range Interacting Particle Systems (IPS) on , which generalizes to a whole class of IPS the sharpness result…
High-intensity Voronoi percolation on manifolds
Tillmann Bühler, Barbara Dembin, Ritvik Ramanan Radhakrishnan +1
We study Voronoi percolation on a large class of -dimensional Riemannian manifolds, which includes the hyperbolic spaces , . We prove that as the intensit…
Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation
Barbara Dembin, Dor Elboim
We study first-passage percolation on with independent and identically distributed weights, whose common distribution is uniform on with . F…
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…