2.4k citations · 7.3k across the 76 of their papers we have counts for
4 papers · 1 filter
Fractal and Transfractal Recursive Scale-Free Nets
Hernan D. Rozenfeld, Shlomo Havlin, Daniel ben-Avraham
We explore the concepts of self-similarity, dimensionality, and (multi)scaling in a new family of recursive scale-free nets that yield themselves to exact analysis through renormal…
Kleinberg Navigation in Fractal Small World Networks
Mickey R. Roberson, Daniel ben-Avraham
We study the Kleinberg problem of navigation in Small World networks when the underlying lattice is a fractal consisting of N>>1 nodes. Our extensive numerical simulations confirm…
Diffusion-Limited One-Species Reactions in the Bethe Lattice
Daniel ben-Avraham, M. Lawrence Glasser
We study the kinetics of diffusion-limited coalescence, A+A-->A, and annihilation, A+A-->0, in the Bethe lattice of coordination number z. Correlations build up over time so that t…
Diffusion-Limited Annihilation and Coalescence in the Cayley Tree
Daniel ben-Avraham, M. Larry Glasser
This paper has been withdrawn by the authors, due to problems with the derivation of the main rate equation.