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  • Andrieu, Christophe; Doucet, Arnaud; Holenstein, Roman. Particle Markov chain Monte Carlo methods. J. R. Stat. Soc. Ser. B Stat. Methodol. 72 (2010), no. 3, 269--342. MR2758115
  • Mathematical models and methods for ab initio quantum chemistry. Edited by M. Defranceschi and C. Le Bris. Lecture Notes in Chemistry, 74. Springer-Verlag, Berlin, 2000. xii+246 pp. ISBN: 3-540-67631-7 MR1857459
  • Cérou, F.; Del Moral, P.; Guyader, A. A nonasymptotic theorem for unnormalized Feynman-Kac particle models. Ann. Inst. Henri Poincaré Probab. Stat. 47 (2011), no. 3, 629--649. MR2841068
  • Del Moral, P.; Miclo, L. Branching and interacting particle systems approximations of Feynman-Kac formulae with applications to non-linear filtering. Séminaire de Probabilités, XXXIV, 1--145, Lecture Notes in Math., 1729, Springer, Berlin, 2000. MR1768060
  • Del Moral, Pierre. Feynman-Kac formulae. Genealogical and interacting particle systems with applications. Probability and its Applications (New York). Springer-Verlag, New York, 2004. xviii+555 pp. ISBN: 0-387-20268-4 MR2044973
  • Del Moral, Pierre. Mean field simulation for Monte Carlo integration. Monographs on Statistics and Applied Probability, 126. CRC Press, Boca Raton, FL, 2013. xlvii+578 pp. ISBN: 978-1-4665-0405-9 MR3060209
  • Del Moral, Pierre; Guionnet, Alice. On the stability of interacting processes with applications to filtering and genetic algorithms. Ann. Inst. H. Poincaré Probab. Statist. 37 (2001), no. 2, 155--194. MR1819122
  • Del Moral, Pierre; Miclo, Laurent. On the stability of nonlinear Feynman-Kac semigroups. Ann. Fac. Sci. Toulouse Math. (6) 11 (2002), no. 2, 135--175. MR1988460
  • Del Moral, Pierre; Doucet, Arnaud. Particle motions in absorbing medium with hard and soft obstacles. Stochastic Anal. Appl. 22 (2004), no. 5, 1175--1207. MR2089064
  • P. Del Moral, P. Hu, and L.M. Wu. On the concentration properties of interacting particle processes. phFoundations and Trends in Machine Learning, vol. 3, no. 3--4, pp. 225--389, 2012.
  • Douc, Randal; Moulines, Eric; Olsson, Jimmy. Long-term stability of sequential Monte Carlo methods under verifiable conditions. Ann. Appl. Probab. 24 (2014), no. 5, 1767--1802. MR3226163
  • A. Doucet, M.K. Pitt, G. Deligiannidis and R. Kohn. Efficient implementation of Markov chain Monte Carlo when using an unbiased likelihood estimator. arXiv preprint arXiv:1210.1871, 2012.
  • Sequential Monte Carlo methods in practice. Edited by Arnaud Doucet, Nando de Freitas and Neil Gordon. Statistics for Engineering and Information Science. Springer-Verlag, New York, 2001. xxviii+581 pp. ISBN: 0-387-95146-6 MR1847783
  • Durrett, Richard. Probability: theory and examples. Second edition. Duxbury Press, Belmont, CA, 1996. xiii+503 pp. ISBN: 0-534-24318-5 MR1609153
  • Grey, D. R. A note on convergence of probability measures. J. Appl. Probab. 38 (2001), no. 4, 1055--1058. MR1876558
  • L. Isserlis. On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables. phBiometrika, vol. 12, pp.134-139, 1918.
  • El Makrini, Mohamed; Jourdain, Benjamin; Lelièvre, Tony. Diffusion Monte Carlo method: numerical analysis in a simple case. M2AN Math. Model. Numer. Anal. 41 (2007), no. 2, 189--213. MR2339625
  • Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel. Free energy computations. A mathematical perspective. Imperial College Press, London, 2010. xiv+458 pp. ISBN: 978-1-84816-247-1; 1-84816-247-2 MR2681239
  • Pitt, Michael K.; Silva, Ralph dos Santos; Giordani, Paolo; Kohn, Robert. On some properties of Markov chain Monte Carlo simulation methods based on the particle filter. J. Econometrics 171 (2012), no. 2, 134--151. MR2991856
  • Rousset, Mathias. On the control of an interacting particle estimation of Schrödinger ground states. SIAM J. Math. Anal. 38 (2006), no. 3, 824--844 (electronic). MR2262944
  • C. Sherlock, A.H. Thiery, G.O. Roberts and J.S. Rosenthal. On the efficiency of pseudo-marginal random walk Metropolis algorithms. arXiv preprint arXiv:1309.7209.
  • Shiryaev, A. N. Probability. Translated from the first (1980) Russian edition by R. P. Boas. Second edition. Graduate Texts in Mathematics, 95. Springer-Verlag, New York, 1996. xvi+623 pp. ISBN: 0-387-94549-0 MR1368405
  • Whiteley, Nick. Stability properties of some particle filters. Ann. Appl. Probab. 23 (2013), no. 6, 2500--2537. MR3127943
  • Whiteley, Nick; Lee, Anthony. Twisted particle filters. Ann. Statist. 42 (2014), no. 1, 115--141. MR3178458
  • N. Whiteley and N. Kantas. A particle method for approximating principal eigen-functions and related quantities. arXiv preprint arXiv:1202.6678, 2012.
  • Wick, G. C. The evaluation of the collision matrix. Physical Rev. (2) 80, (1950). 268--272. MR0038281

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