| dc.contributor.author | Borodin, Alexei | |
| dc.contributor.author | Corwin, Ivan | |
| dc.date.accessioned | 2015-01-12T20:26:57Z | |
| dc.date.available | 2015-01-12T20:26:57Z | |
| dc.date.issued | 2014-06 | |
| dc.date.submitted | 2013-06 | |
| dc.identifier.issn | 1050-5164 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/92805 | |
| dc.description.abstract | We study the parabolic Anderson model in (1+1) dimensions with nearest neighbor jumps and space–time white noise (discrete space/continuous time). We prove a contour integral formula for the second moment and compute the second moment Lyapunov exponent. For the model with only jumps to the right, we prove a contour integral formula for all moments and compute moment Lyapunov exponents of all orders. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-10-56390) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Institute of Mathematical Statistics | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1214/13-aap944 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Institute of Mathematical Sciences | en_US |
| dc.title | Moments and Lyapunov exponents for the parabolic Anderson model | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Borodin, Alexei, and Ivan Corwin. “Moments and Lyapunov Exponents for the Parabolic Anderson Model.” The Annals of Applied Probability 24, no. 3 (June 2014): 1172–1198. © 2014 Institute of Mathematical Statistics | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Borodin, Alexei | en_US |
| dc.relation.journal | Annals of Applied Probability | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Borodin, Alexei; Corwin, Ivan | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-2913-5238 | |
| mit.license | PUBLISHER_POLICY | en_US |
| mit.metadata.status | Complete | |
