A new theory shows how wealth, in different forms, can stick to some but not to others. The findings, published online by the journal Proceedings of the National Academy of Sciences, have implications ...

Vertices arrive sequentially in space and are joined to existing vertices at random according to a preferential rule combining degree and spatial proximity. We investigate phase transitions in the ...

Advances in Applied Probability, Vol. 45, No. 3 (SEPTEMBER 2013), pp. 876-893 (18 pages) For a family of linear preferential attachment graphs, we provide rates of convergence for the total variation ...

The concept of preferential attachment is behind the hubs and power laws seen in many networks. New results fuel an old debate about its origin, and beg the question of whether it is based on ...

Networks like this show how some points can get many more connections. A new theory shows how wealth, in different forms, can stick to some but not to others. The findings have implications ranging ...