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math.PR2022★ 3 cited
Representations of Hecke algebras and Markov dualities for interacting particle systems
Alexander Povolotsky, Pavel Pyatov, Roger Tribe +2
Many continuous reaction-diffusion models on (annihilating or coalescing random walks, exclusion processes, voter models) admit a rich set of Markov duality functions…
cond-mat.stat-mech2022★ 10 cited
A Monte Carlo algorithm to measure probabilities of rare events in cluster-cluster aggregation
Rahul Dandekar, R. Rajesh, V. Subashri +1
We develop a biased Monte Carlo algorithm to measure probabilities of rare events in cluster-cluster aggregation for arbitrary collision kernels. Given a trajectory with a fixed nu…