On traversable length inside semi-cylinder in 2d supercritical bond percolation
نویسندگان
چکیده
منابع مشابه
On Traversable Length inside Semi-Cylinder in 2D supercritical Bond Percolation
We investigate a limit theorem on traversable length inside semi-cylinder in the 2-dimensional supercritical Bernoulli bond percolation, which gives an extension of Theorem 2 in [5]. This type of limit theorems was originally studied for the extinction time for the 1-dimensional contact process on a finite interval in [10]. Actually, our main result Theorem 2.1 is stated under a rather general ...
متن کاملOrnstein-Zernike behavior for the Bernoulli bond percolation on Z in the supercritical regime
We derive an Ornstein-Zernike asymptotic formula for the decay of the two point finite connectivity function τ f x,y(p) of the Bernoulli bond percolation process on Z , along the principal directions, for d ≥ 3, and for supercritical values of p sufficiently near to p = 1.
متن کاملRandom walks on supercritical percolation clusters
We obtain Gaussian upper and lower bounds on the transition density qt(x, y) of the continuous time simple random walk on a supercritical percolation cluster C∞ in the Euclidean lattice. The bounds, analogous to Aronsen’s bounds for uniformly elliptic divergence form diffusions, hold with constants ci depending only on p (the percolation probability) and d. The irregular nature of the medium me...
متن کاملBond percolation on multiplex networks
We present an analytical approach for bond percolation on multiplex networks and use it to determine the expected size of the giant connected component and the value of the critical bond occupation probability in these networks. We advocate the relevance of these tools to the modeling of multilayer robustness and contribute to the debate on whether any benefit is to be yielded from studying a f...
متن کاملBond Percolation on Isoradial Graphs
In an investigation of percolation on isoradial graphs, we prove the criticality of canonical bond percolation on isoradial embeddings of planar graphs, thus extending celebrated earlier results for homogeneous and inhomogeneous square, triangular, and other lattices. This is achieved via the star–triangle transformation, by transporting the box-crossing property across the family of isoradial ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2007
ISSN: 2156-2261
DOI: 10.1215/kjm/1250281073