A pedagogical introduction to Quantum Monte Carlo, 2000. ,
Diffusion Monte Carlo methods with a fixed number of walkers, Physical Review E, vol.61, issue.4, pp.4566-4575, 2000. ,
DOI : 10.1103/PhysRevE.61.4566
Zero-variance zero-bias principle for observables in quantum Monte Carlo: Application to forces, The Journal of Chemical Physics, vol.119, issue.20, pp.10536-10552, 2003. ,
DOI : 10.1063/1.1621615
URL : https://hal.archives-ouvertes.fr/hal-00000683
Nodal Pulay terms for accurate diffusion quantum Monte Carlo forces, Physical Review B, vol.77, issue.8, p.77085111, 2008. ,
DOI : 10.1103/PhysRevB.77.085111
Total forces in the diffusion Monte Carlo method with nonlocal pseudopotentials, Physical Review B, vol.78, issue.3, p.35134, 2008. ,
DOI : 10.1103/PhysRevB.78.035134
QUANTUM MONTE CARLO SIMULATIONS OF FERMIONS: A MATHEMATICAL ANALYSIS OF THE FIXED-NODE APPROXIMATION, Mathematical Models and Methods in Applied Sciences, vol.16, issue.09, pp.1403-1440, 2006. ,
DOI : 10.1142/S0218202506001583
Méthodes mathématiques en chimie quantique: Une introduction, 2006. ,
Computing accurate forces in quantum Monte Carlo using Pulay???s corrections and energy minimization, The Journal of Chemical Physics, vol.118, issue.16, pp.7193-7201, 2003. ,
DOI : 10.1063/1.1562605
Monte Carlo simulation of a many-fermion study, Physical Review B, vol.16, issue.7, pp.3081-3099, 1977. ,
DOI : 10.1103/PhysRevB.16.3081
Fermion nodes, Journal of Statistical Physics, vol.45, issue.5-6, pp.1237-1267, 1991. ,
DOI : 10.1007/BF01030009
Ground State of the Electron Gas by a Stochastic Method, Physical Review Letters, vol.45, issue.7, pp.566-569, 1980. ,
DOI : 10.1103/PhysRevLett.45.566
Boundary Sensitivities for Diffusion Processes in Time Dependent Domains, Applied Mathematics and Optimization, vol.54, issue.2, pp.159-187, 2006. ,
DOI : 10.1007/s00245-006-0863-4
URL : https://hal.archives-ouvertes.fr/hal-00103259
Feynman-Kac Formulae, Genealogical and Interacting Particle Systems with Applications, 2004. ,
Branching and Interacting Particle Systems approximations of Feynman-Kac formulae with applications to nonlinear filtering, Lecture notes in Mathematics, vol.1729, pp.1-145, 2000. ,
Particle approximations of Lyapounov exponents connected to Schrödinger operators and Feynman-Kac semigroups, ESAIM Proba. Stat, vol.7, pp.171-208, 2003. ,
Sequential Monte-Carlo Methods in Practice. Series Statistics for Engineering and Information Science, 2001. ,
Sequential monte carlo samplers, J. Roy. Stat.. Soc. B, vol.68, issue.3, pp.411-436, 2006. ,
Correlated sampling in quantum Monte Carlo: A route to forces, Physical Review B, vol.61, issue.24, pp.61-16291, 2000. ,
DOI : 10.1103/PhysRevB.61.R16291
On the perurbation of eigenvalues for the p-laplacian, C.R. Acad. Sci. Paris, Série, vol.1, issue.332, pp.893-898, 2001. ,
Elliptic Partial Differential Equation of Second Order, 1983. ,
An improved algorithm of fixed-node quantum Monte Carlo method with self-optimization process, Journal of Molecular Structure: THEOCHEM, vol.726, issue.1-3, pp.93-97, 2005. ,
DOI : 10.1016/j.theochem.2005.02.077
Brownian motion and stochastic calculus, Graduate Texts in Mathematics, vol.113, 1991. ,
DOI : 10.1007/978-1-4612-0949-2
Perturbation theory for linear operators, 1976. ,
Methods of modern mathematical physics. IV. Analysis of operators, 1978. ,
On the Control of an Interacting Particle Estimation of Schr??dinger Ground States, SIAM Journal on Mathematical Analysis, vol.38, issue.3, pp.824-844, 2006. ,
DOI : 10.1137/050640667
Zero-variance zero-bias quantum Monte Carlo estimators of the spherically and system-averaged pair density, The Journal of Chemical Physics, vol.126, issue.24, p.126244112, 2007. ,
DOI : 10.1063/1.2746029
URL : https://hal.archives-ouvertes.fr/hal-00979441
Optimization of quantum Monte Carlo wave functions by energy minimization, The Journal of Chemical Physics, vol.126, issue.8, p.84102, 2007. ,
DOI : 10.1063/1.2437215
URL : https://hal.archives-ouvertes.fr/hal-00981188
Energy and Variance Optimization of Many-Body Wave Functions, Physical Review Letters, vol.94, issue.15, p.150201, 2005. ,
DOI : 10.1103/PhysRevLett.94.150201