217 citations · 1.3k across the 28 of their papers we have counts for
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math.PR2011★ 120 cited
Space-time fractional diffusion on bounded domains
Zhen-Qing Chen, Mark M. Meerschaert, Erkan Nane
Fractional diffusion equations replace the integer-order derivatives in space and time by their fractional-order analogues. They are used in physics to model anomalous diffusion. T…
math.PR2011★ 15 cited
Fractal Dimensions for Continuous Time Random Walk Limits
Mark M. Meerschaert, Erkan Nane, Yimin Xiao
In a continuous time random walk (CTRW), each random jump follows a random waiting time. CTRW scaling limits are time-changed processes that model anomalous diffusion. The outer pr…