Level sets of the stochastic wave equation driven by a symmetric Lévy noise

Details Level sets of the stochastic wave equation driven by a symmetric Lévy noise Level sets of the stochastic wave equation driven by a symmetric Lévy noise

2007-09-20

arxiv.org/abs/0709.3165v2

Bernoulli 2008, Vol. 14, No. 4, 899-925

Mathematics

Probability

Published in at http://dx.doi.org/10.3150/08-BEJ133 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statisti

Scientific paper

10.3150/08-BEJ133

We consider the solution $\{u(t,x);t\geq0,x\in\mathbf{R}\}$ of a system of $d$ linear stochastic wave equations driven by a $d$-dimensional symmetric space-time L\'{e}vy noise. We provide a necessary and sufficient condition on the characteristic exponent of the L\'{e}vy noise, which describes exactly when the zero set of $u$ is non-void. We also compute the Hausdorff dimension of that zero set when it is non-empty. These results will follow from more general potential-theoretic theorems on the level sets of L\'{e}vy sheets.

Affiliated with

Also associated with

No associations

Rating

Level sets of the stochastic wave equation driven by a symmetric Lévy noise does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Level sets of the stochastic wave equation driven by a symmetric Lévy noise, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Level sets of the stochastic wave equation driven by a symmetric Lévy noise will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-517813