S. Asmussen, Applied Probability and Queues, Applications of Mathematics, vol.51, 2003.

M. Babillot, P. Bougerol, E. , and L. , The random difference equation X n = A n X n?1 + B n in the critical case, Ann. Probab, vol.25, pp.478-493, 1997.

M. Benda, Schwach kontraktive dynamische Systeme, 1998.

M. Benda, Contractive stochastic dynamical systems, 1999.

M. Benda, A reflected random walk on the half line, 1999.

A. A. Borovkov, Stochastic Processes in Queueing Theory, 1976.

D. L. Burkholder, Distribution function inequalities for martingales, Ann. Probab, vol.1, pp.19-42, 1973.

W. Cygan and J. Kloas, On recurrence of the multidimensional Lindley process. Electron. Commun, Probab, vol.23, issue.4, pp.1-14, 2018.

D. Denisov and V. Wachtel, Random walks in cones, Ann. Probab, vol.43, pp.992-1044, 2015.

R. Doney, A: Local behaviour of first passage probabilities, Probab. Theory Related Fields, vol.152, pp.559-588, 2012.

J. Duraj, Random walks in cones: the case of nonzero drift, Stochastic Process. Appl, vol.124, pp.1503-1518, 2014.

W. Feller, An Introduction to Probability Theory and its Applications, vol.II, 1971.

R. Garbit and K. Raschel, On the exit time from a cone for random walks with drift, Rev. Mat. Iberoam, vol.32, pp.511-532, 2016.
URL : https://hal.archives-ouvertes.fr/hal-00838721

A. Gut, Stopped Random Walks. Limit theorems and applications, 2009.

I. Ignatiouk-robert, L. , and C. , Martin boundary of a killed random walk on a quadrant, Ann. Probab, vol.38, pp.1106-1142, 2010.

S. Janson, Moments for first-passage and last-exit times, the minimum, and related quantities for random walks with positive drift, Adv. Appl. Prob, vol.18, pp.865-879, 1986.

D. G. Kendall, Some problems in the theory of queues, J. Roy. Statist. Soc. Ser. B, vol.13, pp.173-185, 1951.

J. Kiefer and J. Wolfowitz, On the theory of queues with many servers, Trans. Amer. Math. Soc, vol.78, pp.1-18, 1955.

J. Kloas and W. Woess, Multidimensional random walk with reflections, Stochastic Proc. Appl, vol.129, pp.336-354, 2019.

P. Leguesdron, Marche aléatoire sur le semi-groupe des contractions de R d . Cas de la marche aléatoire sur R + avec chocélastique en zéro, Ann. Inst. H. Poincaré Probab. Statist, vol.25, pp.483-502, 1989.

D. V. Lindley, The theory of queues with a single server, Proc. Cambridge Philos Soc, vol.48, pp.277-289, 1952.

M. Peigné, Marches de Markov sur le semi-groupe des contractions de R d . Cas de la marche aléatoirè a pas markoviens sur (R + ) d avec chocsélastiques sur les axes, Ann. Inst. H. Poincaré Probab. Stat, vol.28, pp.63-94, 1992.

M. Peigné and W. Woess, Stochastic dynamical systems with weak contractivity properties, I. Strong and local contractivity, Colloq. Math, vol.125, p.3154, 2011.

M. Peigné and W. Woess, Stochastic dynamical systems with weak contractivity properties, II. Iteration of Lipschitz mappings, Colloq. Math, vol.125, pp.55-81, 2011.

T. D. Pham, Conditioned limit theorems for products of positive random matrices, ALEA Lat. Am. J. Probab. Math. Stat, vol.15, pp.67-100, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01959053