Brownian motion in cones, Probability Theory and Related Fields, vol.108, issue.3, pp.299-319, 1997. ,
DOI : 10.1007/s004400050111
Quantum random walk on the dual of SU(n). Probab. Theory Related Fields, pp.117-129, 1991. ,
MINUSCULE WEIGHTS AND RANDOM WALKS ON LATTICES, Quantum probability & related topics, pp.51-65, 1992. ,
DOI : 10.1142/9789814354783_0004
Littelmann paths and Brownian paths, Duke Mathematical Journal, vol.130, issue.1, pp.127-167, 2005. ,
DOI : 10.1215/S0012-7094-05-13014-9
URL : https://hal.archives-ouvertes.fr/hal-00018663
Convergence of probability measures, 1968. ,
DOI : 10.1002/9780470316962
Walks with small steps in the quarter plane, Algorithmic probability and combinatorics, pp.1-39, 2010. ,
DOI : 10.1090/conm/520/10252
Exit times from cones in ??? n of Brownian motion, Probability Theory and Related Fields, vol.26, issue.1, pp.1-29, 1987. ,
DOI : 10.1007/BF01845637
Conditional Limit Theorems for Ordered Random Walks, Electronic Journal of Probability, vol.15, issue.0, pp.292-322, 2010. ,
DOI : 10.1214/EJP.v15-752
URL : http://arxiv.org/abs/0907.2854
Random walks in cones, The Annals of Probability, vol.43, issue.3, p.43, 2015. ,
DOI : 10.1214/13-AOP867
On the asymptotic behaviour of first passage times for transient random walk, Probability Theory and Related Fields, vol.10, issue.2, pp.239-246, 1989. ,
DOI : 10.1007/BF00319553
Exit problems associated with finite reflection groups, Probability Theory and Related Fields, vol.83, issue.4, pp.501-538, 2005. ,
DOI : 10.1007/s00440-004-0402-7
Random walks in cones: The case of nonzero drift. Stochastic Process, Appl, vol.124, pp.1503-1518, 2014. ,
A Brownian???Motion Model for the Eigenvalues of a Random Matrix, Journal of Mathematical Physics, vol.3, issue.6, pp.1191-1198, 1962. ,
DOI : 10.1063/1.1703862
Ordered Random Walks, Electronic Journal of Probability, vol.13, issue.0, pp.1307-1336, 2008. ,
DOI : 10.1214/EJP.v13-539
Some exact asymptotics in the counting of walks in the quarter plane, 23rd Intern. Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms (AofA'12), Discrete Math. Theor. Comput. Sci. Proc., AQ, pp.109-124, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00661541
Temps de sortie d'un c??ne pour une marche al??atoire centr??e, Comptes Rendus Mathematique, vol.345, issue.10, pp.587-591, 2007. ,
DOI : 10.1016/j.crma.2007.10.016
On the exit time from a cone for brownian motion with drift, Electronic Journal of Probability, vol.19, issue.0, pp.1-27, 2014. ,
DOI : 10.1214/EJP.v19-3169
URL : https://hal.archives-ouvertes.fr/hal-00880523
Random walks with negative drift conditioned to stay positive, Journal of Applied Probability, vol.234, issue.04, pp.742-751, 1974. ,
DOI : 10.1007/BF02795339
Towards a combinatorial understanding of lattice path asymptotics, 2013. ,
The exact asymptotic of the collision time tail distribution for independent Brownian particles with different drifts, Probability Theory and Related Fields, vol.10, issue.3-4, pp.595-617, 2008. ,
DOI : 10.1007/s00440-007-0116-8
Convex analysis, 1970. ,
DOI : 10.1515/9781400873173
Principles of random walk. The University Series in Higher Mathematics, 1964. ,
Potential theory in conical domains, Mathematical Proceedings of the Cambridge Philosophical Society, vol.125, issue.2, pp.335-384, 1999. ,
DOI : 10.1017/S0305004198002771
49045 Angers Cedex 1, France E-mail address: rodolphe.garbit@univ-angers.fr CNRS, Fédération Denis Poisson ,