Monotonicity of the probability of percolation for Bernoulli random fields on periodic graphs

Autor:	Yu. P. Virchenko, E. S. Antonova
Rok vydání:	2011
Předmět:	Statistics and Probability Random graph Discrete mathematics Applied Mathematics General Mathematics Percolation threshold Combinatorics Binomial distribution Mathematics::Probability Law of large numbers Percolation Continuum percolation theory Bernoulli scheme Bernoulli process Mathematics
Zdroj:	Journal of Mathematical Sciences. 175:86-90
ISSN:	1573-8795 1072-3374
Popis:	In this work, the problem of percolation of the Bernoulli random field on periodic graphs Λ of an arbitrary dimension d is studied. A theorem on nondecreasing dependence of the probability of percolation Q(c1, … , cn) with respect to each of the parameters ci, i = 1÷n, – concentration of the Bernoulli field is proved.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dff10ae520f08f1cde5efb49d88a43b1 https://doi.org/10.1007/s10958-011-0335-5 Zobrazit plný text záznamu Plný text ve formátu PDF