English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we are concerned with contact processes with random vertexweights on oriented lattices. In our model, we assume that each vertex x of Z^dtakes i. i. d. positive random value \rho(x). Vertex y infects vertex x at rateproportional to \rho(x)\rho(y) when and only when there is an oriented edgefrom y to x. We give the definition of the critical value \lambda_c ofinfection rate under the annealed measure and show that\lambda_c=[1+o(1)]/(dE\rho^2) as d grows to infinity. Classic contact processeson oriented lattices and contact processes on clusters of oriented sitepercolation are two special cases of our model.

Contact processes with random vertex weights on oriented lattices