115 citations · 423 across the 31 of their papers we have counts for
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math.PR2018
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…
math.AP2018★ 51 cited
Dissipation Enhancement by Mixing
Yuanyuan Feng, Gautam Iyer
We quantitatively study the interaction between diffusion and mixing in both the continuous, and discrete time setting. In discrete time, we consider a mixing dynamical system inte…
math.AP2018★ 1 cited
Long Time Asymptotics of Heat Kernels and Brownian Winding Numbers on Manifolds with Boundary
Xi Geng, Gautam Iyer
Let M be a compact Riemannian manifold with smooth boundary. We obtain the exact long time asymptotic behaviour of the heat kernel on abelian coverings of M with mixed Dirichlet an…