Strong Markov local Dirichlet processes and stochastic differential equations
Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 2, pp. 331-348

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

This paper states the necessary and sufficient conditions on the natural scale and the measure of convergence of the continuous strong Markov local Dirichlet process in order that the process has a representation in the form of a solution of some stochastic differential equation. The results are applied to the case of the Bessel process of arbitrary dimension.
Keywords: Bessel process, Dirichlet process, stochastic differential equations, local time, strong Markov processes.
@article{TVP_1998_43_2_a6,
     author = {H.-J. Engelbert and J. Wolf},
     title = {Strong {Markov} local {Dirichlet} processes and stochastic differential equations},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {331--348},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_1998_43_2_a6/}
}
TY  - JOUR
AU  - H.-J. Engelbert
AU  - J. Wolf
TI  - Strong Markov local Dirichlet processes and stochastic differential equations
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 1998
SP  - 331
EP  - 348
VL  - 43
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TVP_1998_43_2_a6/
LA  - en
ID  - TVP_1998_43_2_a6
ER  - 
%0 Journal Article
%A H.-J. Engelbert
%A J. Wolf
%T Strong Markov local Dirichlet processes and stochastic differential equations
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1998
%P 331-348
%V 43
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TVP_1998_43_2_a6/
%G en
%F TVP_1998_43_2_a6
H.-J. Engelbert; J. Wolf. Strong Markov local Dirichlet processes and stochastic differential equations. Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 2, pp. 331-348. http://geodesic.mathdoc.fr/item/TVP_1998_43_2_a6/