Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 1, pp. 127-130
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S. A. Molchanov; E. Ostrovskii. Symmetric stable processes as traces of degenerate diffusion processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 1, pp. 127-130. http://geodesic.mathdoc.fr/item/TVP_1969_14_1_a11/
@article{TVP_1969_14_1_a11,
author = {S. A. Molchanov and E. Ostrovskii},
title = {Symmetric stable processes as traces of degenerate diffusion processes},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {127--130},
year = {1969},
volume = {14},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1969_14_1_a11/}
}
TY - JOUR
AU - S. A. Molchanov
AU - E. Ostrovskii
TI - Symmetric stable processes as traces of degenerate diffusion processes
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1969
SP - 127
EP - 130
VL - 14
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1969_14_1_a11/
LA - ru
ID - TVP_1969_14_1_a11
ER -
%0 Journal Article
%A S. A. Molchanov
%A E. Ostrovskii
%T Symmetric stable processes as traces of degenerate diffusion processes
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1969
%P 127-130
%V 14
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1969_14_1_a11/
%G ru
%F TVP_1969_14_1_a11
In this article we show that symmetric stable processes may be considered as traces of diffusion processes of a special type (Bessel processes). This result generalizes the well-known theorem due to Spitzer concerning a similar representation of Cauchy processes.
