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Let $\mu\in \mathcal{P}_2(\mathbb R^d)$, where $\mathcal{P}_2(\mathbb R^d)$ denotes the space of square integrable probability measures, and consider a Borel-measurable function $\Phi:\mathcal P_2(\mathbb R^d)\rightarrow \mathbb R $.
Jürgen Gärtner. On the Mckean-Vlasov limit for interacting diffusions. Mathematische Nachrichten , 137(1):197–248, 1988
1988
Earlier work this paper cites.
Alain-Sol Sznitman. Topics in propagation of chaos. Springer, 1991
1991
Earlier work this paper cites.
Mireille Bossy and Denis Talay. Convergence rate for the approximation of the limit law of weakly interacting particles: application to the Burgers equation. The Annals of Applied Probability , 6(3):818–861, 1996
1996
Earlier work this paper cites.
Sylvie Méléard. Asymptotic behaviour of some interacting particle systems; McKean-Vlasov and Boltzmann models. In Probabilistic models for nonlinear partial differential equations , pages 42–95. Springer, 1996
1996
Earlier work this paper cites.
Mireille Bossy and Denis Talay. A stochastic particle method for the McKean-Vlasov and the Burgers equation. Mathematics of Computation of the American Mathematical Society , 66(217):157–192, 1997
1997
Earlier work this paper cites.
Svetlozar T Rachev and Ludger Rüschendorf. Mass Transportation Problems: Volume II: Applications , volume 2. Springer Science & Business Media, 1998
1998
Earlier work this paper cites.
Stefan Heinrich. Multilevel Monte Carlo methods. In Large-scale scientific computing , pages 58–67. Springer, 2001
2001
Earlier work this paper cites.
Ahmed Kebaier. Statistical Romberg extrapolation: a new variance reduction method and applications to option pricing. The Annals of Applied Probability , 15(4):2681–2705, 2005
2005
Earlier work this paper cites.
2007
Earlier work this paper cites.
Michael B Giles. Multilevel Monte Carlo path simulation. Operations Research , 56(3):607– 617, 2008
2008
Earlier work this paper cites.
Pierre Cardaliaguet. Notes on mean field games. Technical report, Technical report, 2010
2010
Earlier work this paper cites.
Vassili N Kolokoltsov. Nonlinear Markov processes and kinetic equations , volume 182. Cam- bridge University Press, 2010
2010
Earlier work this paper cites.
Mireille Bossy, Jean-François Jabir, and Denis Talay. On conditional McKean Lagrangian stochastic models. Probability Theory and Related Fields , 151(1-2):319–351, 2011
2011
Earlier work this paper cites.
K Andrew Cliffe,Mike B Giles, Robert Scheichl, and Aretha L Teckentrup. Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients. Computing and Visualization in Science , 14(1):3, 2011
2011
Cited alongside, same era.
Steffen Dereich, Michael Scheutzow, and Reik Schottstedt. Constructive quantization: Approximation by empirical measures. In Annales de l’IHP Probabilités et statistiques , pages 1183–1203, 2013
2013
Cited alongside, same era.
Stéphane Mischler and Clément Mouhot. Kac’s program in kinetic theory. Inventiones mathematicae , 193(1):1–147, 2013
2013
Cited alongside, same era.
2014
Cited alongside, same era.
Dan Crisan and Eamon McMurray. Smoothing properties of McKean–Vlasov SDEs. Probability Theory and Related Fields , pages 1–52, 2017
2017
Later among the works it cites.
Vincent Lemaire and Gilles Pagès. Multilevel Richardson–Romberg extrapolation. Bernoulli , 23(4A):2643–2692, 2017
2017
Later among the works it cites.
Luigi Ambrosio, Federico Stra, and Dario Trevisan. A PDE approach to a 2-dimensional matching problem. Probability Theory and Related Fields , pages 1–45, 2018
2018
Later among the works it cites.
Michael B Giles and Takashi Goda. Decision-making under uncertainty: using MLMC for efficient estimation of EVPPI. Statistics and Computing , pages 1–13, 2018
2018
Later among the works it cites.
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2014
Cited alongside, same era.
2015
Cited alongside, same era.
Nicolas Fournier and Arnaud Guillin. On the rate of convergence in Wasserstein distance of the empirical measure. Probability Theory and Related Fields , 162(3-4):707–738, 2015
2015
Cited alongside, same era.
Michael B Giles. Multilevel Monte Carlo methods. Acta Numerica , 24:259–328, 2015
2015
Cited alongside, same era.
Stéphane Mischler, Clément Mouhot, and Bernt Wennberg. A new approach to quantitative propagation of chaos for drift, diffusion and jump processes. Probability Theory and Related Fields , 161(1-2):1–59, 2015
2015
Cited alongside, same era.
René Carmona. Lectures on BSDEs, stochastic control, and stochastic differential games with financial applications , volume 1. SIAM, 2016
2016
Cited alongside, same era.
Nicolas Fournier and Maxime Hauray. Propagation of chaos for the Landau equation with moderately soft potentials. The Annals of Probability , 44(6):3581–3660, 2016
2016
Cited alongside, same era.
Rainer Buckdahn, Juan Li, Shige Peng, and Catherine Rainer. Mean-field stochastic differential equations and associated PDEs. The Annals of Probability , 45(2):824–878, 2017
2017
Cited alongside, same era.
2018
Later among the works it cites.
2018
Later among the works it cites.
Abdul-Lateef Haji-Ali and Raul Tempone. Multilevel and Multi-index Monte Carlo methods for the Mckean–Vlasov equation. Statistics and Computing , 28(4):923–935, 2018
2018
Later among the works it cites.
Pierre-Emmanuel Jabin and Zhenfu Wang. Quantitative estimates of propagation of chaos for stochastic systems with W − 1 , ∞ W^{-1,\infty} kernels. Inventiones mathematicae , 214(1):523–591, 2018
2018
Later among the works it cites.
Daniel Lacker. On a strong form of propagation of chaos for Mckean-Vlasov equations. Electronic Communications in Probability , 23, 2018
2018
Later among the works it cites.
2018
Later among the works it cites.
2019
Closest in time.
François Delarue, Daniel Lacker, Kavita Ramanan, et al. From the master equation to mean field game limit theory: A central limit theorem. Electronic Journal of Probability , 24, 2019
2019
Closest in time.