, Note that the estimate of the covariance mentioned in the introduction, in case (ii), can now be done as well. Indeed, denoting by REFERENCES
Boundary of the range of transient random walk, Probability Theory and Related Fields, vol.168, pp.691-719, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01171542
Deviations for the Capacity of the Range of a Random Walk ,
URL : https://hal.archives-ouvertes.fr/hal-01832098
Capacity of the range of random walk on Z d, Transactions of the A.M.S, vol.370, pp.7627-7645, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01272481
Capacity of the range of random walk on Z 4, Ann. Probab ,
URL : https://hal.archives-ouvertes.fr/hal-01422908
Entropy of random walk range, Ann. Inst. Henri Poincaré Probab. Stat, vol.46, pp.1080-1092, 2010. ,
Condensation of random walks and the Wulff crystal, Ann. Inst. Henri Poincaré Probab. Stat ,
Two observations on the capacity of the range of simple random walk on Z 3 and Z 4, Electron. Commun. Probab, vol.22, 2017. ,
, Probability: theory and examples, 2010.
, Boundary of the Range of a random walk and the Fölner property
Some problems on random walk in space, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, pp.353-367, 1950. ,
Some intersection properties of random walk paths, Acta Math. Acad. Sci. Hungar, vol.11, pp.231-248, 1960. ,
An introduction to probability theory and its applications, vol.II, p.669, 1971. ,
On the range of random walk, Israel J. Math, vol.6, pp.373-380, 1968. ,
The range of transient random walk, J. Analyse Math, vol.24, pp.369-393, 1971. ,
Intersections of random walks. Probability and its Applications, vol.219, 1991. ,
Random walk: a modern introduction, Cambridge Studies in Advanced Mathematics, 123, p.364, 2010. ,
Propriétés d'intersection des marches aléatoires. I. Convergence vers le temps local d'intersection, Comm. Math. Phys, vol.104, issue.3, pp.471-507, 1986. ,
The inner boundary of random walk range, J. Math. Soc. Japan, vol.68, issue.3, pp.939-959, 2016. ,
Principles of random walk, Graduate Texts in Mathematics, vol.34, p.408, 1976. ,
Green's functions for random walks on Z N, Proc. London Math. Soc, issue.3, pp.215-240, 1998. ,
, , vol.2, 13453.