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![Figure 1: (a) In the left figure�� xn, n ∈ N, are independent and uniformly distributed on [0,1], � = {xn : n ∈ N}, andxn, n ∈ N, are independent Poisson point processes of intensity λxn = n, independent also of (xn)n∈N](https://thumb-ap.123doks.com/thumbv2/123dok/983444.916652/4.612.74.489.87.232/independent-uniformly-distributed-independent-poisson-processes-intensity-independent.webp)
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Keywords: Percolation, time constant, critical probabilities, Delaunay
Keywords: supercitical percolation; exponential decay; renormalization; isoperimetric profile; anchored isoperimetry; random walk on percolation clusters; heat kernel decay; mixing
The purpose of this note is to prove the existence of a non-trivial critical point for the existence of a type of open Lipschitz surface within site percolation on Z d with d ≥ 2..
Oriented and unoriented percolation for Gibbs measures We will now prove some results of percolation transition for some Gibbs measures on R Z d.. corresponding to a
From the earlier studies of random walks on fractals it is known that the walk is ruled by two parameters, by the fractal dimension and an exponent describing the conductivity of
(1997) Information inequalities and concentration of measure. A note on symmetric Bernoulli random variables. A probability inequality for linear combinations of bounded
In this work we first focus on the first-passage percolation problem as described in the last paragraph for certain families of regular, e ff ectively one-dimensional graphs
It is straightforward to check that the set of eventually active sites in the local bootstrap percolation model is identical to the limiting rectangle lim i →∞ ρ i , and in
