References

• A. Alfonsi and A. Kohatsu-Higa and B. Jourdain: Pathwise optimal transport bounds between a one-dimensional diffusion and its Euler scheme. arXiv.org:1209.0576
• Bally, Vlad; Talay, Denis. The law of the Euler scheme for stochastic differential equations. II. Convergence rate of the density. Monte Carlo Methods Appl. 2 (1996), no. 2, 93--128. MR1401964
• F. Barthe and C. Bordenave: Combinatorial optimization over two random point sets. To appear in Séminaire de Probabilités, arXiv.org:1103.2734
• Blower, Gordon; Bolley, François. Concentration of measure on product spaces with applications to Markov processes. Studia Math. 175 (2006), no. 1, 47--72. MR2261699
• Boissard, Emmanuel. Simple bounds for convergence of empirical and occupation measures in 1-Wasserstein distance. Electron. J. Probab. 16 (2011), no. 83, 2296--2333. MR2861675
• Bolley, François; Villani, Cédric. Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities. Ann. Fac. Sci. Toulouse Math. (6) 14 (2005), no. 3, 331--352. MR2172583
• Bolley, François; Guillin, Arnaud; Villani, Cédric. Quantitative concentration inequalities for empirical measures on non-compact spaces. Probab. Theory Related Fields 137 (2007), no. 3-4, 541--593. MR2280433
• Djellout, H.; Guillin, A.; Wu, L. Transportation cost-information inequalities and applications to random dynamical systems and diffusions. Ann. Probab. 32 (2004), no. 3B, 2702--2732. MR2078555
• Duflo, Marie. Algorithmes stochastiques. (French) [Stochastic algorithms] Mathématiques & Applications (Berlin) [Mathematics & Applications], 23. Springer-Verlag, Berlin, 1996. xiv+319 pp. ISBN: 3-540-60699-8 MR1612815
• Frikha, Noufel; Menozzi, Stéphane. Concentration bounds for stochastic approximations. Electron. Commun. Probab. 17 (2012), no. 47, 15 pp. MR2988393
• Gozlan, Nathael; Léonard, Christian. A large deviation approach to some transportation cost inequalities. Probab. Theory Related Fields 139 (2007), no. 1-2, 235--283. MR2322697
• Gozlan, N.; Léonard, C. Transport inequalities. A survey. Markov Process. Related Fields 16 (2010), no. 4, 635--736. MR2895086
• Johnson, W. B.; Schechtman, G.; Zinn, J. Best constants in moment inequalities for linear combinations of independent and exchangeable random variables. Ann. Probab. 13 (1985), no. 1, 234--253. MR0770640
• Kushner, Harold J.; Yin, G. George. Stochastic approximation and recursive algorithms and applications. Second edition. Applications of Mathematics (New York), 35. Stochastic Modelling and Applied Probability. Springer-Verlag, New York, 2003. xxii+474 pp. ISBN: 0-387-00894-2 MR1993642
• Laruelle, Sophie; Pagès, Gilles. Stochastic approximation with averaging innovation applied to finance. Monte Carlo Methods Appl. 18 (2012), no. 1, 1--51. MR2908605
• Lemaire, V.; Menozzi, S. On some non asymptotic bounds for the Euler scheme. Electron. J. Probab. 15 (2010), no. 53, 1645--1681. MR2735377
• Malrieu, Florent; Talay, Denis. Concentration inequalities for Euler schemes. Monte Carlo and quasi-Monte Carlo methods 2004, 355--371, Springer, Berlin, 2006. MR2208718
• Polyak, B. T.; Juditsky, A. B. Acceleration of stochastic approximation by averaging. SIAM J. Control Optim. 30 (1992), no. 4, 838--855. MR1167814
• Robbins, Herbert; Monro, Sutton. A stochastic approximation method. Ann. Math. Statistics 22, (1951). 400--407. MR0042668
• Rachev, Svetlozar T.; Rüschendorf, Ludger. Mass transportation problems. Vol. II. Applications. Probability and its Applications (New York). Springer-Verlag, New York, 1998. xxvi+430 pp. ISBN: 0-387-98352-X MR1619171
• Ruppert, David. Stochastic approximation. Handbook of sequential analysis, 503--529, Statist. Textbooks Monogr., 118, Dekker, New York, 1991. MR1174318
• Talay, Denis; Tubaro, Luciano. Expansion of the global error for numerical schemes solving stochastic differential equations. Stochastic Anal. Appl. 8 (1990), no. 4, 483--509 (1991). MR1091544