title: Bose-Einstein condensation in random directed networks.
abstract: We consider the phenomenon of Bose-Einstein condensation in a random growing directed network. The network grows by the addition of vertices and edges. At each time step the network gains a vertex with probability p and an edge with probability 1-p. The new vertex has a fitness (a,b) a,b>0, with probability f(a,b). A vertex with fitness (a,b), with in-degree i and out-degree j, gains a new incoming edge with rate a(i+1) and an outgoing edge with rate b(j+1). The Bose-Einstein condensation occurs as a function of fitness distribution f(a,b).
authors.affiliation: Department of Theoretical Physics, Havana University, 10400 Havana, Cuba.
authors.forename: O
authors.initials: O
authors.lastname: Sotolongo-Costa
authors.forename: G J
authors.initials: GJ
authors.lastname: Rodgers