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Title: Bose-Einstein condensation in random directed networks
Authors: Sotolongo-Costa, O
Rodgers, G J
Keywords: Statistical mechanics;Bose-Einstein condensation
Issue Date: 2004
Publisher: American Physical Society
Citation: Oscar Sotolongo-Costa, G. J. Rodgers, Bose-Einstein condensation in random directed networks, Physical Review E, 68 (5), Jun 2004
Abstract: We consider the phenomenon of Bose-Einstein condensation in a random growing directed net- work. The network grows by the addition of vertices and edges. At each time step the network gains a vertex with probabilty p and an edge with probability 1 − p. The new vertex has a fitness (a, b) with probability f(a, b). A vertex with fitness (a, b), 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).
Appears in Collections:Mathematical Physics
Dept of Mathematics Research Papers
Mathematical Sciences

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