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