On continuum percolation
From MaRDI portal
Publication:1073466
DOI10.1214/aop/1176992809zbMath0588.60096OpenAlexW2033598701WikidataQ60587851 ScholiaQ60587851MaRDI QIDQ1073466
Publication date: 1985
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176992809
random setscontinuum percolationmultitype branching processescritical intensity for the mean clump sizelattice percolation
Geometric probability and stochastic geometry (60D05) Applications of branching processes (60J85) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items
Loss network representation of Peierls contours, Finite clusters in high-density continuous percolation: Compression and sphericality, Invariance under quasi-isometries of subcritical and supercritical behavior in the Boolean model of percolation, Performance Characteristics of Multicast Flows on Random Trees, Transience Versus Recurrence for Scale-Free Spatial Networks, Sharpness of the phase transition for continuum percolation in \(\mathbb{R}^2\), Subcritical regimes in some models of continuum percolation, Recurrence versus transience for weight-dependent random connection models, Nonuniversality and continuity of the critical covered volume fraction in continuum percolation, Intersections of random sets, Sharpness of the phase transition and lower bounds for the critical intensity in continuum percolation on \(\mathbb{R}^{d}\), The threshold contact process: A continuum limit, Random walk on the random connection model, Continuum percolation with holes, Limit theorems for geometric functionals of Gibbs point processes, Percolation clusters as generators for orientation ordering, Ellipses percolation, Characterizing spatial point processes by percolation transitions, The emergence of a giant component in one-dimensional inhomogeneous networks with long-range effects, Cylinders' percolation in three dimensions, Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees, On the uniqueness of Gibbs distributions with a non-negative and subcritical pair potential, Mean-field bounds for Poisson-Boolean percolation, Subcritical phase of \(d\)-dimensional Poisson-Boolean percolation and its vacant set, Covering algorithms, continuum percolation and the geometry of wireless networks, Non-metricity in the continuum limit of randomly-distributed point defects, Covering by random intervals and one-dimensional continuum percolation, Percolation in the secrecy graph, Equilibrium properties of the spatial SIS model as a point pattern dynamics -- how is infection distributed over space?, Subcritical regimes in the Poisson Boolean model of continuum percolation, Line-of-Sight Percolation, Existence and percolation results for stopped germ-grain models with unbounded velocities, Existence of an unbounded vacant set for subcritical continuum percolation, Self-similar asymptotic behavior for the solutions of a linear coagulation equation, Critical phenomenon for a percolation model, On the growth of a particle coalescing in a Poisson distribution of obstacles, Percolation of Poisson sticks on the plane, Gilbert's disc model with geostatistical marking, Dynamic Boolean models, Higher-dimensional stick percolation, Phase transitions for the Boolean model of continuum percolation for Cox point processes, Wetting and layering for solid-on-solid. II: Layering transitions, Gibbs states, and regularity of the free energy, Inverse percolation by removing straight rigid rods from square lattices in the presence of impurities, Prime Percolation, Dynamical clusters of infinite particle dynamics
