作者：Merlet, Glenn
作者单位：Universite PSL; Universite Paris-Dauphine
摘要：Let (A(n))(n is an element of N) be a stationary sequence of topical (i.e., isotone and additively homogeneous) operators. Let x (n, x(0)) be defined by x (0, x(0)) = x(0) and x (n + 1, x(0)) = A(n)x (n, x(0)). It can model a wide range of systems including train or queuing networks, job-shop, timed digital circuits or parallel processing systems. When (A(n))(n is an element of N) has the memory loss property, (x (n, x(0)))(n is an element of N) satisfies a strong law of large numbers. We show...
作者：Gouere, Jean-Baptiste
作者单位：Universite de Orleans
摘要：We study two competing growth models. Each of these models describes the spread of a finite number of infections on a graph. Each infection evolves like an (oriented or unoriented) first passage percolation process except that once a vertex is infected by type i infection, it remains of type i forever. We give results about the shape of the area ultimately infected by the different infections.
