Quantitative homogenization on percolation clusters and interacting particle systems

of a square lattice the frontier is made of those A atoms which are connected through nearest neighbours with the diffusion source and have an empty first or second

The aim of the Self-organized Gradient Percolation model is to predict the capillary pressure curve at any time using a proposed capillary pressure curve at initial step time (Figure

Lemma 1.2 also extends to Lemma 2.13 in connection with Theorem 2.9 (critical case s = q N ∗ −1 ), and to Lemma 2.14 (case q = N −1, with a uniform convergence result) in

The motivation of the present work stems from the feature that the giant cluster resulting from supercritical bond percolation on a large random recursive tree has a much

The determination of an upper approximation of the mean-field swelling radius under partial consideration of the quenched topological structure for percolation clusters is possible

For the Cross Model, for each K, n, there exists a path from (0, 0) to (n, 0) of minimal length that only goes through horizontal and diagonal edges, except possibly through

THEOREM 1.8.— Let D CC C 71 be a pseudoconvex domain admit- ting a bounded uniformly Holder continuous plurisubharmonic exhaustion function and having the property, that any point q

In [9], Narayanan showed that if the edges of any fixed graph are randomly and independently oriented, then writing {S i} to indicate that there is an oriented path going from a