P. Andreoletti and A. Devulder, Localization and number of visited valleys for a transient diffusion in random environment, Electronic Journal of Probability, vol.20, issue.0, pp.1-59, 2015.
DOI : 10.1214/EJP.v20-3173

URL : https://hal.archives-ouvertes.fr/hal-00908626

P. Andreoletti, A. Devulder, and G. Véchambre, Renewal structure and local time for diffusions in random environment, ALEA, Lat. Am. J. Probab. Math. Stat, vol.13, pp.863-923, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01152982

J. Arista and V. Rivero, Implicit renewal theory for exponential functionals of Lévy processes, 1510.

J. Bertoin and M. E. Caballero, Entrance from 0+ for increasing semi-stable Markov processes, Bernoulli, vol.8, issue.2, pp.195-205, 2002.

J. Bertoin and M. Yor, Exponential functionals of L??vy processes, Probability Surveys, vol.2, issue.0, pp.191-212, 2005.
DOI : 10.1214/154957805100000122

N. H. Bingham, C. M. Goldie, and J. L. Teugels, Regular Variation, 1987.
DOI : 10.1017/CBO9780511721434

T. Brox, A One-Dimensional Diffusion Process in a Wiener Medium, The Annals of Probability, vol.14, issue.4, pp.1206-1218, 1986.
DOI : 10.1214/aop/1176992363

R. Doney, Fluctuation Theory for Lévy Processes (Summer school, St-Floor France), 2005.
DOI : 10.1007/978-1-4612-0197-7_3

P. J. Fitzsimmons and J. Pitman, Kac???s moment formula and the Feynman???Kac formula for additive functionals of a Markov process, Stochastic Processes and their Applications, pp.117-134, 1999.
DOI : 10.1016/S0304-4149(98)00081-7

A. Lindner, J. Bertoin, and R. Maller, On continuity properties of the law of integrals of Lévy processes

A. Kuznetsov and J. C. Pardo, Fluctuations of Stable Processes and Exponential Functionals of Hypergeometric L??vy Processes, Acta Applicandae Mathematicae, vol.13, issue.4, pp.113-139, 2013.
DOI : 10.3150/07-BEJ6082

K. Maulik and B. Zwart, Tail asymptotics for exponential functionals of L??vy processes, Stochastic Processes and their Applications, pp.156-177, 2006.
DOI : 10.1016/j.spa.2005.09.002

F. Petit, P. Carmona, and M. Yor, On the distribution and asymptotic results for exponential functionals of Lévy processes, Exponential functionals and principal values related to Brownian motion, pp.73-130, 1997.

J. C. Pardo, The Upper Envelope of Positive Self-Similar Markov??Processes, Journal of Theoretical Probability, vol.104, issue.1, pp.514-542, 2009.
DOI : 10.1080/17442500600739055

URL : https://hal.archives-ouvertes.fr/hal-00134603

J. C. Pardo, P. Patie, and M. Savov, A Wiener-Hopf type factorization for the exponential functional of L??vy processes, Journal of the London Mathematical Society, vol.86, issue.3, p.930, 2012.
DOI : 10.1112/jlms/jds028

J. C. Pardo, On the future infimum of positive self-similar Markov processes, Stochastics, vol.9, issue.6, pp.123-155, 2006.
DOI : 10.1007/BF01213685

URL : https://hal.archives-ouvertes.fr/hal-00014266

J. C. Pardo and V. Rivero, Self-similar Markov processes
URL : https://hal.archives-ouvertes.fr/hal-00005451

J. C. Pardo, V. Rivero, and K. Van-schaik, On the density of exponential functionals of L??vy processes, Bernoulli, vol.19, issue.5A, pp.1938-1964
DOI : 10.3150/12-BEJ436

P. Patie, Infinite divisibility of solutions to some self-similar integro-differential equations and exponential functionals of Lévy processes, Ann. Inst. H. Poincaré Probab. Statist, issue.3, pp.667-684

P. Patie, Law of the absorption time of some positive self-similar Markov processes, The Annals of Probability, vol.40, issue.2, pp.765-787, 2012.
DOI : 10.1214/10-AOP638

P. Patie and M. Savov, Extended factorizations of exponential functionals of L??vy processes, Electronic Journal of Probability, vol.17, issue.0, p.22, 2012.
DOI : 10.1214/EJP.v17-2057

P. Patie and M. Savov, Exponential functional of L??vy processes: Generalized Weierstrass products and Wiener???Hopf factorization, Comptes Rendus Mathematique, vol.351, issue.9-10, pp.9-10393, 2013.
DOI : 10.1016/j.crma.2013.04.023

P. Patie and M. Savov, Spectral expansions of non-self-adjoint generalized Laguerre semigroups, 1506.

P. Patie and M. Savov, Bernstein-gamma functions and exponential functionals of Lévy processes, 2016.

V. Rivero, Recurrent extensions of self-similar Markov processes and Cram??r's condition, Bernoulli, vol.11, issue.3, pp.471-509, 2005.
DOI : 10.3150/bj/1120591185

V. Rivero, Recurrent extensions of self-similar Markov processes and Cram??r???s condition II, Bernoulli, vol.13, issue.4, pp.1053-1070, 2007.
DOI : 10.3150/07-BEJ6082

V. Rivero, Tail asymptotics for exponential functionals of L??vy processes: The convolution equivalent case, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.48, issue.4, pp.1081-1102, 2012.
DOI : 10.1214/12-AIHP477

K. Sato, Lévy Processes and Infinitely Divisible Distributions. Cambridge studies in advanced mathematics, 1999.

K. Sato and M. Yamazato, On distribution functions of class L, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.3, issue.4, pp.273-308, 1978.
DOI : 10.1007/BF00534763

A. Singh, Rates of convergence of a transient diffusion in a spectrally negative L??vy potential, The Annals of Probability, vol.36, issue.1, pp.279-318, 2008.
DOI : 10.1214/009117907000000123

G. Véchambre, Almost sure behavior for the local time of a diffusion in a spectrally negative Lévy environment

G. Véchambre, Path decompostion of spectrally negative Lévy processes, and application to the local time of a diffusion in those environments, 2016.

N. Shanghai, Office 1133, 1555 Century avenue