Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 2, pp. 259-269
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V. P. Nosko. The horizon of the random field of the cones on the plane. Mean number of horizon corners. Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 2, pp. 259-269. http://geodesic.mathdoc.fr/item/TVP_1982_27_2_a4/
@article{TVP_1982_27_2_a4,
author = {V. P. Nosko},
title = {The horizon of the random field of the cones on the plane. {Mean} number of horizon corners},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {259--269},
year = {1982},
volume = {27},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1982_27_2_a4/}
}
TY - JOUR
AU - V. P. Nosko
TI - The horizon of the random field of the cones on the plane. Mean number of horizon corners
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1982
SP - 259
EP - 269
VL - 27
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1982_27_2_a4/
LA - ru
ID - TVP_1982_27_2_a4
ER -
%0 Journal Article
%A V. P. Nosko
%T The horizon of the random field of the cones on the plane. Mean number of horizon corners
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1982
%P 259-269
%V 27
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1982_27_2_a4/
%G ru
%F TVP_1982_27_2_a4
In this paper the horizon of the random field of cones on the plane is considered. The closed expression for a mean number $\mu_\lambda$ of horizon corners is obtained. The asymptotic behaviour of $\mu_\lambda$ is investigated when the mean number $\lambda$ of cones is increasing $\lambda\uparrow\infty$.