搜索结果: 1-8 共查到“概率论 percolation”相关记录8条 . 查询时间(0.093 秒)
Directed random walk on an oriented percolation cluster
Random walk, dynamical random environment, oriented percolation, supercritical cluster, central limit theorem in random environment
2012/4/16
We consider directed random walk on the infinite percolation cluster generated by supercritical oriented percolation, or equivalently the space-time embedding of the `ancestral lineage' of an individu...
Bond percolation on isoradial graphs
Bond percolation isoradial graph rhombic tiling Penrose tiling inhomogeneous percolation universality
2012/4/18
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 h...
Abstract: Secrecy graphs model the connectivity of wireless networks under secrecy constraints. Directed edges in the graph are present whenever a node can talk to another node securely in the presenc...
The asymptotic shape, large deviations and dynamical stability in first-passage percolation on cones
The asymptotic shape dynamical stability cones Probability
2011/9/2
Abstract: In this paper we consider first-passage percolation on certain subgraphs of the $\Z^d$ nearest neighbour graph. We present a three-fold extension of the Shape Theorem. Firstly, we show that ...
Asymptotics of first-passage percolation on 1-dimensional graphs
Asymptotics of first-passage percolation 1-dimensional graphs Probability
2011/9/2
Abstract: In this paper we consider standard first-passage percolation on certain 1-dimensional periodic graphs. One such graph of particular interest is the $\Z\times\{0,1,...,K-1\}^{d-1}$ nearest ne...
Planar percolation with a glimpse of Schramm-Loewner Evolution
Planar percolation Schramm-Loewner Evolution Statistical Mechanics
2011/8/22
Abstract: In recent years, important progress has been made in the field of two-dimensional statistical physics. One of the most striking achievement is probably the proof of conformal invariance of p...
On the speed of biased random walk in translation invariant percolation
speed of biased random translation invariant percolation
2011/2/21
For biased random walk on the infinite cluster in supercritical i.i.d.percolation on Z2, where the bias of the walk is quantified by a parameter > 1,it has been conjectured (and partly proved) that ...
Poincaré inequality for Markov random fields via disagreement percolation
Poincar´ e inequality weak Poincar´ e inequality Gibbs mea-
2011/1/20
We consider Markov random fields of discrete spins on the lattice Zd. We use a technique of coupling of conditional distributions. If under the coupling the disagreement cluster is “sufficiently” subc...