F. Aurzada and S. Dereich, Universality of the asymptotics of the one-sided exit problem for integrated processes, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.49, issue.1, pp.236-251, 2013.
DOI : 10.1214/11-AIHP427

F. Aurzada and T. Simon, Persistence probabilities and exponents Available at arXiv:1203, p.6554

A. J. Bray, S. N. Majumdar, and G. Schehr, Persistence and first-passage properties in nonequilibrium systems, Advances in Physics, vol.87, issue.2, pp.225-361, 2013.
DOI : 10.1038/nature06201

URL : https://hal.archives-ouvertes.fr/hal-00843539

A. Dembo, J. Ding, and F. Gao, Persistence of iterated partial sums, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.49, issue.3, pp.873-884, 2013.
DOI : 10.1214/11-AIHP452

M. Goldman, On the First Passage of the Integrated Wiener Process, The Annals of Mathematical Statistics, vol.42, issue.6, pp.2150-2155, 1971.
DOI : 10.1214/aoms/1177693084

S. Janson, Moments of Gamma type and the Brownian supremum process area, Probability Surveys, vol.7, issue.0, pp.1-52, 2010.
DOI : 10.1214/10-PS160

M. B. Marcus, Probability estimates for lowel levels of certain Gaussian processes with stationary increments, High dimensional probability II, pp.173-179, 2000.

H. P. Mckean, A winding problem for a resonator driven by a white noise, Journal of Mathematics of Kyoto University, vol.2, issue.2, pp.227-235, 1963.
DOI : 10.1215/kjm/1250524936

C. Profeta, Some limiting laws associated with the integrated Brownian motion, ESAIM: Probability and Statistics, vol.19
DOI : 10.1051/ps/2014018

G. Samorodnitsky and M. S. , Taqqu Stable Non-Gaussian random processes, 1994.

Q. Shao, Lower tails probabilities and related processes. Lecture Notes, 2003.

Z. Shi, Lower tails of some integrated processes, Small deviations and related topics, 2003.

T. Simon, Sur les petites déviations d'un processus de Lévy, Potential Analysis, vol.14, issue.2, pp.155-173, 2001.
DOI : 10.1023/A:1008711917156

T. Simon, The lower tail problem for homogeneous functionals of stable processes with no negative jumps. ALEA Lat, Am. J. Probab. Math. Stat, vol.3, pp.165-179, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00126032

T. Simon, On the Hausdorff Dimension of Regular Points of??Inviscid Burgers Equation with Stable Initial Data, Journal of Statistical Physics, vol.148, issue.3, pp.733-747, 2008.
DOI : 10.1007/s10955-008-9508-0

URL : https://hal.archives-ouvertes.fr/hal-00130157

Y. G. Sinai, Distribution of some functionals of the integral of a random walk, Theoretical and Mathematical Physics, vol.1, issue.3, pp.219-241, 1992.
DOI : 10.1007/BF01036528

V. M. Zolotarev, One-dimensional stable distributions, 1983.

. Laboratoire-d-'analyse and . Probabilités, Université d'Evry-Val d'Essonne, Bâtiment IBGBI, 23 boulevard de France, F-91037 Evry Cedex. Email : christophe.profeta@univ-evry, 59655 Villeneuve d'Ascq Cedex and Laboratoire de physique théorique et modèles statistiques, p.91405

O. Cedex, Email : simon@math.univ-lille1