E. Csaki and A. Foldes, On the length of the longest monotone block, Stud. Sci. Math. Hungarian, vol.31, pp.35-46, 1996.

E. W. Dijkstra, Self-stabilizing systems in spite of distributed control, Communications of the ACM, vol.17, issue.11, pp.643-644, 1974.
DOI : 10.1145/361179.361202

S. Dolev, Self Stabilization, Journal of Aerospace Computing, Information, and Communication, vol.1, issue.6, 2000.
DOI : 10.2514/1.10141

S. Eryilmaz, A note on runs of geometrically distributed random variables, Discrete Mathematics, vol.306, issue.15, pp.1765-1770, 2006.
DOI : 10.1016/j.disc.2006.03.042

D. Foata and A. Fuchs, Calcul des probabilités, 1996.

A. N. Frolov and A. I. Martikainen, On the length of the longest increasing run in d, Statistics & Probability Letters, vol.41, issue.2, pp.153-161, 1999.
DOI : 10.1016/S0167-7152(98)00136-9

T. Herman and S. Tixeuil, A Distributed TDMA Slot Assignment Algorithm for Wireless Sensor Networks, Proceedings of the First Workshop on Algorithmic Aspects of Wireless Sensor Networks (AlgoSensors'2004), number 3121 in Lecture Notes in Computer Science, pp.45-58, 2004.
DOI : 10.1007/978-3-540-27820-7_6

G. Louchard, Runs of geometrically distributed random variables: a probabilistic analysis, Journal of Computational and Applied Mathematics, vol.142, issue.1, pp.137-153, 2002.
DOI : 10.1016/S0377-0427(01)00465-4

G. Louchard, Monotone runs of uniformly distributed integer random variables: A probabilistic analysis, Theoretical Computer Science, vol.346, issue.2-3, pp.358-387, 2005.
DOI : 10.1016/j.tcs.2005.08.015

G. Louchard and H. Prodinger, Ascending runs of sequences of geometrically distributed random variables: a probabilistic analysis, Electronic Notes in Discrete Mathematics, vol.10, pp.59-86, 2003.
DOI : 10.1016/S1571-0653(04)00389-0

N. Mitton, E. Fleury, I. Guérin-lassous, B. Sericola, and S. Tixeuil, Fast convergence in self-stabilizing wireless networks, 12th International Conference on Parallel and Distributed Systems, (ICPADS'06), 2006.
DOI : 10.1109/ICPADS.2006.47

URL : https://hal.archives-ouvertes.fr/hal-00383834

N. Mitton, E. Fleury, I. Guérin-lassous, and S. Tixeuil, Self-Stabilization in Self-Organized Multihop Wireless Networks, 25th IEEE International Conference on Distributed Computing Systems Workshops, 2005.
DOI : 10.1109/ICDCSW.2005.122

URL : https://hal.archives-ouvertes.fr/hal-00383720