J. Bouchaud and M. Potters, Financial Applications of Random Matrix Theory: a short review. The Oxford handbook of random matrix theory, pp.824-850, 2011.

M. T. Barlow and M. Yor, Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times, Journal of Functional Analysis, vol.49, issue.2, pp.198-229, 1982.
DOI : 10.1016/0022-1236(82)90080-5

URL : https://doi.org/10.1016/0022-1236(82)90080-5

]. M. Fuk11a and . Fukasawa, Asymptotically efficient discrete hedging Stochastic analysis with Financial Applications, Progress in Probability, pp.331-346, 2011.

]. M. Fuk11b and . Fukasawa, Discretization error of stochastic integrals, Annals of Applied Probability, vol.21, pp.1436-1465, 2011.

C. Geiss and S. Geiss, On approximation of a class of stochastic integrals and interpolation, Stochastics and Stochastic Reports, vol.95, issue.4, pp.339-362, 2004.
DOI : 10.1007/BF01192269

M. [. Göing-jaeschke and . Yor, A survey and some generalizations of Bessel processes, Bernoulli, vol.9, issue.2, pp.313-349, 2003.
DOI : 10.3150/bj/1068128980

E. Gobet and N. Landon, Almost sure optimal hedging strategy, The Annals of Applied Probability, vol.24, issue.4, pp.1652-1690, 2014.
DOI : 10.1214/13-AAP959

URL : https://hal.archives-ouvertes.fr/hal-00657153

E. Gobet and N. Landon, Optimization of joint $p$-variations of Brownian semimartingales, Electronic Communications in Probability, vol.19, issue.0, p.2014
DOI : 10.1214/ECP.v19-2975

URL : https://hal.archives-ouvertes.fr/hal-00853590

M. Hairer, M. Hutzenthaler, and A. Jentzen, Loss of regularity for Kolmogorov equations, The Annals of Probability, vol.43, issue.2, pp.468-527, 2015.
DOI : 10.1214/13-AOP838

URL : http://www.hairer.org/papers/Kolmogorov.pdf

N. Hoffman, T. Müller-gronbach, and K. Ritter, The Optimal Discretization of Stochastic Differential Equations, Journal of Complexity, vol.17, issue.1, pp.117-153, 2001.
DOI : 10.1006/jcom.2000.0570

T. [. Jentzen, L. Müller-gronbach, and . Yaroslavtseva, On stochastic differential equations with arbitrary slow convergence rates for strong approximation, Communications in Mathematical Sciences, vol.14, issue.6, pp.1477-1500, 2016.
DOI : 10.4310/CMS.2016.v14.n6.a1

J. Jacod and P. Protter, Discretization of Processes. Stochastic Modelling and Applied Probability 67
URL : https://hal.archives-ouvertes.fr/hal-00103988

T. G. Kurtz and P. Protter, Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations, The Annals of Probability, vol.19, issue.3, pp.1035-1070, 1991.
DOI : 10.1214/aop/1176990334

URL : http://doi.org/10.1214/aop/1176990334

P. Kree and C. Soize, Mathematics of random phenomena: random vibrations of mechanical structures, 2012.
DOI : 10.1007/978-94-009-4770-2

J. Li, Y. Peng, and J. Chen, Nonlinear stochastic optimal control strategy of hysteretic structures, Structural Engineering and Mechanics, vol.38, issue.1, pp.39-63, 2011.
DOI : 10.12989/sem.2011.38.1.039

]. T. Mul02 and . Müller-gronbach, Strong Approximation of Systems of Stochastic Differential Equations. Habilitation thesis. Technical University of Darmstadt Available on https, researchgate. net/ publication/ 34202229_ Strong_ approximation_ of_ systems_ of_ stochastic_ differential_ equations, 2002.

]. H. Roo80 and . Rootzen, Limit distributions for the error in approximations of stochastic integrals. The Annals of Probability, pp.241-251, 1980.

D. Talay, Stochastic Hamiltonian systems: exponential convergence to the invariant measure, and discretization by the implicit Euler scheme, Markov Processes and Related Fields, pp.163-198, 2002.