P. Étoré and M. Martinez, Exact Simulation of One-dimensional Stochastic Differential Equations involving the local time at zero of the unknown process, pp.1102-2565, 2011.

M. Hairer and C. Manson, Periodic homogenization with an interface: The one-dimensional case, Stochastic Processes and their Applications, vol.120, issue.8, pp.8-1589, 2010.
DOI : 10.1016/j.spa.2010.03.016

O. A. Lady?enskaja, V. Ja, and N. N. Rivkind, Ural'ceva. Solvability of diffraction problems in the classical sense, Trudy Mat. Inst. Steklov, pp.92-116, 1966.

A. Lejay, The snapping out Brownian motion, The Annals of Applied Probability, vol.26, issue.3, 2013.
DOI : 10.1214/15-AAP1131

URL : https://hal.archives-ouvertes.fr/hal-00781447

A. Lejay, Simulation of a stochastic process in a discontinuous layered medium, Electronic Communications in Probability, vol.16, issue.0, pp.764-774, 2011.
DOI : 10.1214/ECP.v16-1686

A. Lejay, On the constructions of the skew Brownian motion, Probability Surveys, vol.3, issue.0, pp.413-466, 2006.
DOI : 10.1214/154957807000000013

URL : https://hal.archives-ouvertes.fr/inria-00000785

A. Lejay and S. Maire, New Monte Carlo schemes for simulating diffusions in discontinuous media, Journal of Computational and Applied Mathematics, vol.245, pp.97-116, 2013.
DOI : 10.1016/j.cam.2012.12.013

URL : https://hal.archives-ouvertes.fr/hal-00689581

A. Lejay and G. Pichot, Simulating diffusion processes in discontinuous media: A numerical scheme with constant time steps, Journal of Computational Physics, vol.231, issue.21, pp.21-7299, 2012.
DOI : 10.1016/j.jcp.2012.07.011

URL : https://hal.archives-ouvertes.fr/hal-00649170

E. Sánchez-palencia, Non-Homogeneous Media and Vibration Theory, Lecture Notes in Phys, 1980.