Geodesic
Multidimensional Watson Lemma and Its Applications
Matematičeskie zametki, Tome 99 (2016) no. 3, pp. 395-403

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove the multidimensional analog of the well-known Watson lemma and then apply it to prove a local limit theorem for the transition probabilities of symmetric random walks on the multidimensional lattice with infinite variance of jumps.
Keywords: multidimensional Watson lemma, symmetric random walk, infinite variance of jumps, multidimensional lattice, branching random walk. 
@article{MZM_2016_99_3_a8,
     author = {A. I. Rytova and E. B. Yarovaya},
     title = {Multidimensional {Watson} {Lemma} and {Its} {Applications}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {395--403},
     publisher = {mathdoc},
     volume = {99},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_3_a8/}
}
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A. I. Rytova; E. B. Yarovaya. Multidimensional Watson Lemma and Its Applications. Matematičeskie zametki, Tome 99 (2016) no. 3, pp. 395-403. http://geodesic.mathdoc.fr/item/MZM_2016_99_3_a8/