96 citations · 165 across the 7 of their papers we have counts for
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cond-mat.stat-mech2002★ 8 cited
Path-integral representation for a stochastic sandpile
Ronald Dickman, Ronaldo Vidigal
We introduce an operator description for a stochastic sandpile model with a conserved particle density, and develop a path-integral representation for its evolution. The resulting…
cond-mat.stat-mech2002★ 29 cited
Path Integrals and Perturbation Theory for Stochastic Processes
Ronald Dickman, Ronaldo Vidigal
We review and extend the formalism introduced by Peliti, that maps a Markov process to a path-integral representation. After developing the mapping, we apply it to some illustrativ…