Level sets of the stochastic wave equation driven by a symmetric Lévy noise
| dc.creator | Khoshnevisan, Davar | |
| dc.creator | Nualart, Eulalia | |
| dc.date | 2007-09-20 | |
| dc.date | 2008-11-14 | |
| dc.date.accessioned | 2026-07-07T10:17:50Z | |
| dc.date.available | 2026-07-07T10:17:50Z | |
| dc.description | 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 Lévy noise. We provide a necessary and sufficient condition on the characteristic exponent of the Lévy 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 Lévy sheets. | |
| dc.description | Published in at http://dx.doi.org/10.3150/08-BEJ133 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm) | |
| dc.identifier | https://arxiv.org/abs/0709.3165 | |
| dc.identifier | http://arxiv.org/abs/0709.3165 | |
| dc.identifier | Bernoulli 2008, Vol. 14, No. 4, 899-925 | |
| dc.identifier | doi:10.3150/08-BEJ133 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173988 | |
| dc.subject | Probability | |
| dc.title | Level sets of the stochastic wave equation driven by a symmetric Lévy noise | |
| dc.type | text |