111 citations · 261 across the 34 of their papers we have counts for
3 papers · 1 filter
Anomalous diffusion in comb-shaped domains and graphs
Samuel Cohn, Gautam Iyer, James Nolen +1
In this paper we study the asymptotic behavior of Brownian motion in both comb-shaped planar domains, and comb-shaped graphs. We show convergence to a limiting process when both th…
Coagulation and universal scaling limits for critical Galton-Watson processes
Gautam Iyer, Nicholas Leger, Robert L. Pego
The basis of this paper is the elementary observation that the -step descendant distribution of any Galton-Watson process satisfies a discrete Smoluchowski coagulation equation…
Limit theorems for Smoluchowski dynamics associated with critical continuous-state branching processes
Gautam Iyer, Nicholas Leger, Robert L. Pego
We investigate the well-posedness and asymptotic self-similarity of solutions to a generalized Smoluchowski coagulation equation recently introduced by Bertoin and Le Gall in the c…