A Fleming–Viot Particle Representation¶of the Dirichlet Laplacian

By Krzysztof Burdzy, R. Hołyst, P. March. 2000

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How researchers see this paper

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Quasistationary Distributions and Fleming-Viot Processes in Finite Spaces (2009, methodology): “This appears for the first time in [2] for Brownian motion absorbed at the boundary of a bounded domain.”
Ergodic behavior of diffusions with random jumps from the boundary (2009, methodology): “A closely related model is the Fleming–Viot-type system studied in [2,7,10].”
Quasi-stationary distributions and population processes (2011, methodology): “In this survey, we describe the approximation method based on Fleming-Viot type interacting particle systems, introduced by Burdzy, Holyst, Ingerman et March [10] in 1996 and studied later by Burdzy, Holyst and March [11], Grigorescu and Kang [32], Ferrari and Maric̀ [23], Villemonais [65] [66] and ”
General approximation method for the distribution of Markov processes conditioned not to be killed (2011, methodology): “nt and conditioned to not be killed. The main tool of the approximation method is given by a Fleming-Viot type interacting particle system introduced by Burdzy, Holyst, Ingermann and March in [3] and [4]: the N particles of the system evolve as independent Brownian motions in an open subset Dof Rd, ”