Local asymptotics for the first intersection of two independent renewals, preprint ,
Applied Probability and Queues, Second Edition, Applications of Mathematics, vol.51, 2003. ,
Regular variations, 1987. ,
DOI : 10.1017/CBO9780511721434
The strong renewal theorem, preprint, arXiv:1507, p.7502 ,
Functions of probability measures, Journal d'Analyse Math??matique, vol.26, issue.1, pp.255-302, 1973. ,
DOI : 10.1007/BF02790433
Strong renewal theorems with infinite mean beyond local large deviations, The Annals of Applied Probability, vol.25, issue.3, pp.1513-1539, 2015. ,
DOI : 10.1214/14-AAP1029
Integral criteria for Strong Renewal Theorems with infinite mean, preprint, arXiv:1312.6089v3 [math ,
The influence of the maximum term in the addition of independent random variables, Transactions of the American Mathematical Society, vol.73, issue.1, pp.95-107, 1952. ,
DOI : 10.1090/S0002-9947-1952-0048726-0
Large deviations for random walks under subexponentiality: The big-jump domain, The Annals of Probability, vol.36, issue.5, pp.1946-1991, 2008. ,
DOI : 10.1214/07-AOP382
One-sided local large deviation and renewal theorems in the case of infinite mean, Probab. Theory Relat, pp.451-465, 1997. ,
The strong renewal theorem with infinite mean via local large deviations, preprint ,
Local asymptotics for the time of first return to the origin of transient random walk, Statistics & Probability Letters, vol.81, issue.9, pp.363-365, 2011. ,
DOI : 10.1016/j.spl.2011.04.017
Strong renewal theorems with infinite mean, Transaction of the, 1970. ,
An introduction to probability theory and its applications Wiley series in probability and mathematical statistics, 1966. ,
A discrete renewal theorem with infinite mean, Commentarii Mathematici Helvetici, vol.37, issue.1, pp.221-234, 1963. ,
DOI : 10.1007/BF02566974
Random polymer models, 2007. ,
DOI : 10.1142/p504
URL : https://hal.archives-ouvertes.fr/hal-00155080
Sur La Distribution Limite Du Terme Maximum D'Une Serie Aleatoire, The Annals of Mathematics, vol.44, issue.3, pp.423-453, 1943. ,
DOI : 10.2307/1968974
Limit Theorems for Sums of Independent Random Variables, 1954. ,
On the range of random walk, Proc. Sixth Berkeley Symp. Math. Statist. Probab. 3 pp, pp.31-50, 1972. ,
DOI : 10.1007/BF02771217
A limit theorem for sums of i.i.d. random variables with slowly varying tail probability, Journal of Mathematics of Kyoto University, vol.26, issue.3, pp.437-443, 1986. ,
DOI : 10.1215/kjm/1250520877
Ratio theorems for random walks II, Journal d'Analyse Math??matique, vol.17, issue.1, pp.323-379, 1963. ,
DOI : 10.1007/BF02789990
The Renewal Theorem in the Absence of Power Moments, Theory Probab, Appl, vol.56, issue.1, pp.166-175, 2012. ,
Large Deviations of Sums of Independent Random Variables, The Annals of Probability, vol.7, issue.5, pp.745-789, 1979. ,
DOI : 10.1214/aop/1176994938
On sums of independent random variables without power moments, Math. J, vol.49, issue.6, pp.1091-1010, 2008. ,
Rapidly Growing Random Walks and an Associated Stopping Time, The Annals of Probability, vol.7, issue.6, pp.1078-1081, 1979. ,
DOI : 10.1214/aop/1176994903
A limit theorem for sums of i.i.d. random variables with slowly varying tail probability, Multivariate Analysis, Proc. Fifth Internat. Sympos, pp.249-261, 1978. ,
Random walks and Riesz kernels, Pacific Journal of Mathematics, vol.25, issue.2, pp.393-415, 1968. ,
DOI : 10.2140/pjm.1968.25.393