2 citations · 3 across the 3 of their papers we have counts for
4 papers
What is Special about Diffusion on Scale-Free Nets?
Erik M. Bollt, Daniel ben-Avraham
We study diffusion (random walks) on recursive scale-free graphs, and contrast the results to similar studies in other analytically soluble media. This allows us to identify ways i…
One-dimensional continuous-time quantum walks
D. ben-Avraham, E. Bollt, C. Tamon
We survey the equations of continuous-time quantum walks on simple one-dimensional lattices, which include the finite and infinite lines and the finite cycle, and compare them with…
Communication and Synchronization in Disconnected Networks with Dynamic Topology: Moving Neighborhood Networks
Joseph D. Skufca, Erik M. Bollt
We consider systems that are well modelled as a networks that evolve in time, which we call {\it Moving Neighborhood Networks}. These models are relevant in studying cooperative be…
On the entropy devil's staircase in a family of gap-tent maps
Karol Zyczkowski, Erik M. Bollt
We analyze dynamical properties of a "gap-tent map" - a family of 1D maps with a symmetric gap, which mimics the presence of noise in physical realizations of chaotic systems. We d…