Stretched Exponential Fixation in Stochastic Ising Models at Zero Temperature

By L. Fontes, R. Schonmann, V. Sidoravicius. 2002

133 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

The sharp threshold for bootstrap percolation in all dimensions (2010, methodology): “Some of the techniques from these papers (and those mentioned earlier) have been used to prove results about the low-temperature Glauber dynamics of the Ising model [15, 22, 37].”
Sharp metastability threshold for two-dimensional bootstrap percolation (2002, background): “Aside from their intrinsic mathematical interest, bootstrap percolation models find numerous applications, both directly and as tools in the analysis of more complicated systems. See for example [1],[ 7 ],[8],[12],[19].”
Probability on Trees and Networks (2017, methodology): “A more general two-parameter model of random subgraphs, known as the random cluster model, was introduced by Fortuin and Kasteleyn (1972) and Fortuin (1972a, 1972b).”
Bootstrap percolation in three dimensions (2008, methodology): “The bootstrap process has also been studied on the hypercube [3, 5, 6], on infinite trees [8] and on the random regular graph [10, 23], and has found applications in other areas: for example, techniques from [2], and more recently [5], were used to study the Ising model at zero temperature (see [17]”