Web1 de mar. de 2013 · Inhomogeneous long-range percolation on the lattice $\mathbb Z^d$ was introduced in Deijfen et al. (2013) as an extension of the homogeneous long-range percolation model. Web8 de jun. de 2024 · We study long-range Bernoulli percolation on $${\\mathbb {Z}}^d$$ Z d in which each two vertices x and y are connected by an edge with probability $$1-\\exp (-\\beta \\Vert x-y\\Vert ^{-d-\\alpha })$$ 1 - exp ( - β ‖ x - y ‖ - d - α ) . It is a theorem of Noam Berger (Commun. Math. Phys., 2002) that if $$0<\\alpha

Sharp asymptotic for the chemical distance in long-range …

Web11 de abr. de 2024 · I am interested in long-range percolation models with heavy-tailed degree distributions such as DHH13, GLM21, Y6. The simplest example is scale-free percolation in which vertices are elements $\mat... Stack Exchange Network. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the … Web14 de out. de 2004 · We consider an independent long-range bond percolation on Z2. Horizontal and vertical bonds of length n are independently open with probability p_n ∈ … does shein ship to the virgin islands

[1303.3995] Distances in critical long range percolation - arXiv.org

Web14 de out. de 2004 · We consider an independent long-range bond percolation on Z2. Horizontal and vertical bonds of length n are independently open with probability p_n ∈ [0, 1]. Given ∑ n=1∞∏ i=1 n (1 − p i ... Webe consider the following long-range percolation model: an undirected graph with the node set {0, 1,... ,N} d, has edges (x, y) selected with probability ≈ ,β/∥x - y∥ s if ∥x - y∥ > 1, and with probability 1 if ∥x - y∥ = 1, for some parameters β, s > 0. This model was introduced by Benjamini and Berger [], who obtained bounds on the diameter of this graph for the one … WebProbability SeminarTopic: Critical Behaviour in Long-Range and Hierarchical PercolationSpeaker: Tom HutchcroftAffiliation: California Institute of Technology... face recognition in javascript