Large deviations for the range of an integer valued random walk
Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 1, pp. 17-58. 
@article{AIHPB_2002__38_1_17_0,
     author = {Hamana, Yuji and Kesten, Harry},
     title = {Large deviations for the range of an integer valued random walk},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {17--58},
     publisher = {Elsevier},
     volume = {38},
     number = {1},
     year = {2002},
     mrnumber = {1899229},
     zbl = {1009.60084},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPB_2002__38_1_17_0/}
}
TY  - JOUR
AU  - Hamana, Yuji
AU  - Kesten, Harry
TI  - Large deviations for the range of an integer valued random walk
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 2002
SP  - 17
EP  - 58
VL  - 38
IS  - 1
PB  - Elsevier
UR  - http://archive.numdam.org/item/AIHPB_2002__38_1_17_0/
LA  - en
ID  - AIHPB_2002__38_1_17_0
ER  - 
%0 Journal Article
%A Hamana, Yuji
%A Kesten, Harry
%T Large deviations for the range of an integer valued random walk
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2002
%P 17-58
%V 38
%N 1
%I Elsevier
%U http://archive.numdam.org/item/AIHPB_2002__38_1_17_0/
%G en
%F AIHPB_2002__38_1_17_0
Hamana, Yuji; Kesten, Harry. Large deviations for the range of an integer valued random walk. Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 1, pp. 17-58. http://archive.numdam.org/item/AIHPB_2002__38_1_17_0/

[1] P. Billingsley, Probability and Measure, Wiley, 1986. | MR | Zbl

[2] A. Dembo, O. Zeitouni, Large Deviations Techniques and Applications, Springer-Verlag, 1998. | MR | Zbl

[3] W. Feller, An Introduction to Probability Theory and its Applications, Vol. I, Wiley, 1968. | MR | Zbl

[4] Y. Hamana, H. Kesten, A large deviation result for the range of a random walk and for the Wiener sausage, Probab. Theory Related Fields (2001). | MR | Zbl

[5] J.M. Hammersley, D.J.A. Welsh, Further results on the rate of convergence to the connective constant of the hypercubical lattice, Quart. J. Math, 2nd series 13 (1962) 108-110. | MR | Zbl

[6] G. Pólya, G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Springer-Verlag, 1954.

[7] F. Spitzer, Discussion of “Subadditive ergodic theory” by J.F.C. Kingman, Ann. Probab. 1 (1973) 904-905.

[8] F. Spitzer, Principles of Random Walk, Springer-Verlag, 1976. | MR | Zbl