Geodesic
Spectral asymptotics of supercritical branching random process
Teoriâ veroâtnostej i ee primeneniâ, Tome 62 (2017) no. 3, pp. 518-541

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

The paper is concerned with supercritical continuous-time random walks on a multidimensional lattice with finite number of sources of particle generation of the same intensity without any constraint on the variance of jumps. For the evolution operator of the mean population size of particles with nearly critical source intensity, the asymptotic behavior of the Green function and of the eigenvalue is found. The effect of “limit coalescence” of eigenvalues is revealed for such an arrangement of sources that the distances between them go off to infinity.
Keywords: branching random walks, convolution-type operators, Green functions, positive eigenvalues.
Mots-clés : multipoint perturbations 
@article{TVP_2017_62_3_a4,
     author = {E. B. Yarovaya},
     title = {Spectral asymptotics of supercritical branching random process},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {518--541},
     publisher = {mathdoc},
     volume = {62},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2017_62_3_a4/}
}
TY  - JOUR
AU  - E. B. Yarovaya
TI  - Spectral asymptotics of supercritical branching random process
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2017
SP  - 518
EP  - 541
VL  - 62
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TVP_2017_62_3_a4/
LA  - ru
ID  - TVP_2017_62_3_a4
ER  - 
%0 Journal Article
%A E. B. Yarovaya
%T Spectral asymptotics of supercritical branching random process
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2017
%P 518-541
%V 62
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TVP_2017_62_3_a4/
%G ru
%F TVP_2017_62_3_a4
E. B. Yarovaya. Spectral asymptotics of supercritical branching random process. Teoriâ veroâtnostej i ee primeneniâ, Tome 62 (2017) no. 3, pp. 518-541. http://geodesic.mathdoc.fr/item/TVP_2017_62_3_a4/