50 citations · 104 across the 4 of their papers we have counts for
4 papers
Geometry and Dynamics for Hierarchical Regular Networks
S. Boettcher, B. Goncalves, J. Azaret
The recently introduced hierarchical regular networks HN3 and HN4 are analyzed in detail. We use renormalization group arguments to show that HN3, a 3-regular planar graph, has a d…
Anomalous Diffusion on the Hanoi Networks
S. Boettcher, B. Goncalves
Diffusion is modeled on the recently proposed Hanoi networks by studying the mean- square displacement of random walks with time, <r^2>~t^{2/d_w}. It is found that diffusion - the…
Hierarchical, Regular Small-World Networks
S. Boettcher, B. Goncalves, H. Guclu
Two new classes of networks are introduced that resemble small-world properties. These networks are recursively constructed but retain a fixed, regular degree. They consist of a on…
Hysteretic Optimization For Spin Glasses
B. Goncalves, S. Boettcher
The recently proposed Hysteretic Optimization (HO) procedure is applied to the 1D Ising spin chain with long range interactions. To study its effectiveness, the quality of ground s…