We find the asymptotic behavior of P(||X-ϕ|| ≤ ε) when X is the solution of a linear stochastic differential equation driven by a Poisson process and ϕ the solution of a linear differential equation driven by a pure jump function.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am29-2-3,
author = {Xavier Bardina and Carles Rovira and Samy Tindel},
title = {Asymptotic evaluation of the Poisson measures for tubes around jump curves},
journal = {Applicationes Mathematicae},
volume = {29},
year = {2002},
pages = {145-156},
zbl = {1006.60031},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-2-3}
}
Xavier Bardina; Carles Rovira; Samy Tindel. Asymptotic evaluation of the Poisson measures for tubes around jump curves. Applicationes Mathematicae, Tome 29 (2002) pp. 145-156. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-2-3/