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We study the long-time convergence of a Fleming-Viot process, in the case where the underlying process is a metastable diffusion killed when it reaches some level set.
Random processes in genetics
P. A. P. Moran · 1958
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Elliptic partial differential equations of second order
David Gilbarg, Neil S Trudinger, David Gilbarg, and NS Trudinger · 1977
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Some measure-valued markov processes in population genetics theory
W. H. Fleming and M. Viot · 1979
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Asymptotics of the spectral gap with applications to the theory of simulated annealing
R. A. Holley, S. Kusuoka, and D. W. Stroock · 1989
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Configurational transition in a Fleming - Viot-type model and probabilistic interpretation of Laplacian eigenfunctions
K. Burdzy, R. Holyst, D. Ingerman, and P. March · 1996
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A Fleming-Viot particle representation of the Dirichlet Laplacian
K. Burdzy, R. Hoł yst, and P. March · 2000
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A moran particle system approximation of feynman-kac formulae
P. Del Moral and L. Miclo · 2000
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On the stability of interacting processes with applications to filtering and genetic algorithms
P. Del Moral and A. Guionnet · 2001
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Particle approximations of Lyapunov exponents connected to Schrödinger operators and Feynman-Kac semigroups
P. Del Moral and L. Miclo · 2003
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Hydrodynamic limit for a Fleming-Viot type system
I. Grigorescu and M. Kang · 2004
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Stochastic integration and differential equations
Philip E. Protter · 2004
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On the control of an interacting particle estimation of Schrödinger ground states
M. Rousset · 2006
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Quasi stationary distributions and fleming-viot processes in countable spaces
P. Ferrari and N. Maric · 2007
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Optimal transport
C. Villani · 2009
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Quasistationary distributions and Fleming-Viot processes in finite spaces
A. Asselah, P. A. Ferrari, and P. Groisman · 2011
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Yet another look at Harris’ ergodic theorem for Markov chains
M. Hairer and J. C. Mattingly · 2011
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Interacting particle systems and yaglom limit approximation of diffusions with unbounded drift
D. Villemonais · 2011
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Non-extinction of a fleming-viot particle model
M. Bieniek, K. Burdzy, and S. Finch · 2012
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Extinction of Fleming-Viot-type particle systems with strong drift
M. Bieniek, K. Burdzy, and S. Pal · 2012
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N. Champagnat, K. Coulibaly-Pasquier, and D. Villemonais · 2016
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Quantitative results for the Fleming-Viot particle system and quasi-stationary distributions in discrete space
B. Cloez and M.-N. Thai · 2016
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General criteria for the study of quasi-stationarity
N. Champagnat and D. Villemonais · 2017
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A Central Limit Theorem for Fleming-Viot Particle Systems with Hard Killing
B. Delyon, F. Cérou, A. Guyader, and M. Rousset · 2017
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Stochastic approximation of quasi-stationary distributions on compact spaces and applications
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Central limit theorem for stationary Fleming-Viot particle systems in finite spaces
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On the simulated annealing in ℝ n \mathbb{R}^{n}
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Convergence of a particle approximation for the quasi-stationary distribution of a diffusion process: Uniform estimates in a compact soft case
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