J. Wendel, Zero-Free Intervals of Semi-Stable Markov Processes., MATHEMATICA SCANDINAVICA, vol.14, p.21, 1964.
DOI : 10.7146/math.scand.a-10702

URL : http://www.digizeitschriften.de/download/PPN35397434X_0014/PPN35397434X_0014___log6.pdf

L. Frachebourg, I. Ispolatov, and P. Krapivsky, Extremal properties of random systems, Physical Review E, vol.52, issue.6, p.5727, 1995.
DOI : 10.1103/PhysRevE.52.R5727

URL : http://arxiv.org/abs/cond-mat/9507009

A. Bar, S. N. Majumdar, G. Schehr, and D. Mukamel, Exact extreme-value statistics at mixed-order transitions, Physical Review E, vol.93, issue.5, p.52130, 2016.
DOI : 10.1103/PhysRevE.93.052130

URL : https://hal.archives-ouvertes.fr/hal-01336637

J. Lamperti, A contribution to renewal theory, Proceedings of the American Mathematical Society, vol.12, issue.5, p.724, 1961.
DOI : 10.1090/S0002-9939-1961-0125663-5

A. Lindell and L. Holst, Distributions of the Longest Excursions in a Tied Down Simple Random Walk and in a Brownian Bridge, Journal of Applied Probability, vol.14, issue.04, p.1056, 2007.
DOI : 10.1214/aop/1024404422

C. Godrèche, S. Majumdar, and G. Schehr, Universal statistics of longest lasting records of random walks and L??vy flights, Journal of Physics A: Mathematical and Theoretical, vol.47, issue.25, p.255001, 2014.
DOI : 10.1088/1751-8113/47/25/255001

W. Feller, An Introduction to Probability Theory and its Applications Volumes 1&2, 19681971.

S. Majumdar and R. Ziff, Universal Record Statistics of Random Walks and L??vy Flights, Physical Review Letters, vol.101, issue.5, p.50601, 2008.
DOI : 10.1103/PhysRevLett.101.050601

URL : http://arxiv.org/abs/0806.0057

C. Godrèche, S. Majumdar, and G. Schehr, Longest Excursion of Stochastic Processes in Nonequilibrium Systems, Physical Review Letters, vol.102, issue.24, p.240602, 2009.
DOI : 10.1103/PhysRevLett.102.240602

A. Bar and D. Mukamel, Mixed-Order Phase Transition in a One-Dimensional Model, Physical Review Letters, vol.112, issue.1, p.15701, 2014.
DOI : 10.1103/PhysRevLett.112.015701

URL : http://arxiv.org/abs/1309.4228