Thursday, June 12, 20083:30 PM - 4:30 PMCNLS Conference Room (TA-3, Bldg 1690)|
Hierarchical Regular Networks
Stefan BoettcherEmory University
I will introduce a set networks that combine a lattice backbone with long-range links in a hierarchical manner. These networks allow to
interpolate between geometric and small-world properties in a way that enables exact renormalization group analysis. I will present a number of elegant results already obtained on these networks for geometric properties, percolation, diffusion, and Ising models. I will outline and hope to inspire a number of other statistical models that can be fruitfully analyzed on these networks.
Host: Hasan Guclu, T-CNLS and T-13