53 citations · 199 across the 12 of their papers we have counts for
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cond-mat.dis-nn2008★ 14 cited
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…
cond-mat.stat-mech2008★ 27 cited
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…
cond-mat.dis-nn2008★ 6 cited
Reduction of Dilute Ising Spin Glasses
S. Boettcher, J. Davidheiser
The recently proposed reduction method for diluted spin glasses is investigated in depth. In particular, the Edwards-Anderson model with \pm J and Gaussian bond disorder on hyper-c…