, High order discretization schemes for the CIR process: Application to affine term structure and Heston models, Mathematics of Computation, vol.79, issue.269, pp.209-237, 2010.
DOI : 10.1090/S0025-5718-09-02252-2
URL : https://hal.archives-ouvertes.fr/hal-00143723
, Analysis and geometry of Markov diffusion operators, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 2014.
DOI : 10.1007/978-3-319-00227-9
URL : https://hal.archives-ouvertes.fr/hal-00929960
, On the distances between probability density functions, Electronic Journal of Probability, vol.19, issue.0, 2013.
DOI : 10.1214/EJP.v19-3175
, Asymptotic development for the CLT in total variation distance. ArXiv e-prints, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01104866
, Integration by parts formula and applications to equations with jumps. Probab. Theory Related Fields, pp.613-657, 2011.
DOI : 10.1007/s00440-010-0310-y
URL : https://hal.archives-ouvertes.fr/hal-00431632
, The law of the Euler scheme for stochastic differential equations. I. Convergence rate of the distribution function. Probab. Theory Related Fields, pp.43-60, 1996.
URL : https://hal.archives-ouvertes.fr/inria-00074427
, The Law of the Euler Scheme for Stochastic Differential Equations: II. Convergence Rate of the Density, Monte Carlo Methods and Applications, vol.2, issue.2, pp.93-128, 1996.
DOI : 10.1515/mcma.1996.2.2.93
URL : https://hal.archives-ouvertes.fr/inria-00074016
, Convergence and regularity of probability laws by using an interpolation method. arXiv preprint, 2014.
, Berry?Esseen bounds in the entropic central limit theorem. Probab. Theory Related Fields, pp.3-4435, 2014.
, Fisher information and the central limit theorem. Probab. Theory Related Fields, pp.1-59, 2014.
, A symmetrized Euler scheme for an efficient approximation of reflected diffusions, J. Appl. Probab, vol.41, issue.3, pp.877-889, 2004.
, Weak approximation of killed diffusion using Euler schemes. Stochastic Process, Appl, vol.87, issue.2, pp.167-197, 2000.
, Stopped diffusion processes: boundary corrections and overshoot. Stochastic Process, Appl, vol.120, issue.2, pp.130-162, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00446315
, Euler scheme and tempered distributions, Stochastic Processes and their Applications, vol.116, issue.6, pp.877-904, 2006.
DOI : 10.1016/j.spa.2005.11.011
, The approximate Euler method for L??vy driven stochastic differential equations, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.41, issue.3, pp.523-558, 2005.
DOI : 10.1016/j.anihpb.2004.01.007
, A Review of Recent Results on Approximation of Solutions of Stochastic Differential Equations, volume 65 of Progress in Probability, 2011.
, Numerical solution of stochastic differential equations, Applications of Mathematics, vol.23, 1992.
, Jump-adapted discretization schemes for Lévy-driven SDEs. Stochastic Process, Appl, vol.120, issue.11, pp.2258-2285, 2010.
, Weak Error for Stable Driven Stochastic Differential Equations: Expansion??of??the??Densities, Journal of Theoretical Probability, vol.8, issue.4, pp.454-478, 2011.
DOI : 10.1007/s10959-010-0291-x
, Explicit parametrix and local limit theorems for some degenerate diffusion processes, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.46, issue.4, pp.908-923, 2010.
DOI : 10.1214/09-AIHP207
URL : https://hal.archives-ouvertes.fr/hal-00256588
, Approximation of expectation of diffusion processes based on Lie algebra and Malliavin calculus, In Advances in mathematical economics. Adv. Math. Econ, vol.6, issue.6, pp.69-83, 2004.
DOI : 10.1007/978-4-431-68450-3_4
, Gaussian K-scheme: justification for KLNV method, Adv. Math. Econ, vol.17, issue.17, pp.71-120, 2013.
DOI : 10.1007/978-4-431-54324-4_3
, Stein's method, logarithmic Sobolev and transport inequalities ArXiv e-prints, 2014.
, On Nummelin splitting for continuous time Harris recurrent Markov processes and application to kernel estimation for multi-dimensional diffusions. Stochastic Process, Appl, vol.118, issue.8, pp.1301-1321, 2008.
, Cubature on Wiener space, Stochastic analysis with applications to mathematical finance, pp.169-198, 2004.
DOI : 10.1098/rspa.2003.1239
, Weak approximation of solutions of systems of stochastic differential equations, Numerical Integration of Stochastic Differential Equations, volume 313 of Mathematics and Its Applications, pp.101-134, 1995.
DOI : 10.1007/978-94-015-8455-5_4
, Weak Approximation of Stochastic Differential Equations and Application to Derivative Pricing, Applied Mathematical Finance, vol.29, issue.2, pp.107-121, 2008.
DOI : 10.1016/0020-7225(65)90045-5
, Entropy and the fourth moment phenomenon, Journal of Functional Analysis, vol.266, issue.5, pp.3170-3207, 2014.
DOI : 10.1016/j.jfa.2013.09.017
URL : https://hal.archives-ouvertes.fr/hal-00807589
, An invariance principle under the total variation distance. 15 pages, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00873311
, A splitting technique for Harris recurrent Markov chains, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.29, issue.2, pp.309-318, 1978.
DOI : 10.1007/BF00534764
, The Euler scheme for L??vy driven stochastic differential equations, The Annals of Probability, vol.25, issue.1, pp.393-423, 1997.
DOI : 10.1214/aop/1024404293
, Expansion of the global error for numerical schemes solving stochastic differential equations. Stochastic Anal, Appl, vol.8, issue.4, pp.483-509, 1990.
URL : https://hal.archives-ouvertes.fr/inria-00075490
, Za? ?tsev Approximation of convolutions of probability distributions by infinitely divisible laws under weakened moment constraints, Zap. Nauchn. Sem. S.-Peterburg