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math.CO2012
Structural properties of Stochastic Abelian Sandpile
Ayush Choure
We present some combinatorial results on the stochastic abelian sandpile model. These models are characterized by nondeterministic toppling rules. The recurrence checking for the d…
math-ph2012
Improved bounds on the sandpile diffusions on Grid graphs
Ayush Choure, Sundar Vishwanathan
The Abelian Sandpile Model is a discrete diffusion process defined on graphs (Dhar [10], Dhar et al. [11]) which serves as the standard model of self-organized criticality. The tra…
cs.DM2012
On graph parameters guaranteeing fast Sandpile diffusion
Ayush Choure, Sundar Vishwanathan
The Abelian Sandpile Model is a discrete diffusion process defined on graphs (Dhar \cite{DD90}, Dhar et al. \cite{DD95}) which serves as the standard model of self-organized critic…