2.4k citations · 7.3k across the 76 of their papers we have counts for
7 papers · 1 filter
On the Relation between One-Species Diffusion-Limited Coalescence and Annihilation in One Dimension
Eric Brunet, Daniel ben-Avraham
The close similarity between the hierarchies of multiple-point correlation functions for the diffusion-limited coalescence and annihilation processes has caused some recent confusi…
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…
First Passage Properties of the Erdos-Renyi Random Graph
V. Sood, S. Redner, D. ben-Avraham
We study the mean time for a random walk to traverse between two arbitrary sites of the Erdos-Renyi random graph. We develop an effective medium approximation that predicts that th…
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…
How Famous is a Scientist? -- Famous to Those Who Know Us
James P. Bagrow, Hernan D. Rozenfeld, Erik M. Bollt +1
Following a recent idea, to measure fame by the number of \Google hits found in a search on the WWW, we study the relation between fame (\Google hits) and merit (number of papers p…
Velocity Distribution in a Viscous Granular Gas
Alexandre Rosas, Daniel ben-Avraham, Katja Lindenberg
We investigate the velocity relaxation of a viscous one-dimensional granular gas, that is, one in which neither energy nor momentum is conserved in a collision. Of interest is the…