23 citations · 39 across the 5 of their papers we have counts for
5 papers
Statistics of overtakes by a tagged agent
Santanu Das, Deepak Dhar, Sanjib Sabhapandit
We consider a one-dimensional infinite lattice where at each site there sits an agent carrying a velocity, which is drawn initially for each agent independently from a common distr…
Directed Abelian sandpile with multiple downward neighbors
Deepak Dhar, Gunnar Pruessner, Paul Expert +2
We study the directed Abelian sandpile model on a square lattice, with downward neighbors per site, . The case is solved exactly, which extends the earlier known s…
Persistence in a Stationary Time-series
Satya N. Majumdar, Deepak Dhar
We study the persistence in a class of continuous stochastic processes that are stationary only under integer shifts of time. We show that under certain conditions, the persistence…
Continuously varying exponents in a sandpile model with dissipation near surface
S. Lubeck, D. Dhar
We consider the directed Abelian sandpile model in the presence of sink sites whose density f_t at depth t below the top surface varies as c~1/t^chi. For chi>1 the disorder is irre…
Fractal Dimension of Backbone of Eden Trees
S. S. Manna, D. Dhar
We relate the fractal dimension of the backbone, and the spectral dimension of Eden trees to the dynamical exponent z. In two dimensions, it gives fractal dimension of backbone equ…