Gibbs measures for self-interacting Wiener paths
| dc.creator | Gubinelli, M. | |
| dc.date | 2005-11-22 | |
| dc.date | 2006-03-07 | |
| dc.date.accessioned | 2026-07-07T06:50:32Z | |
| dc.date.available | 2026-07-07T06:50:32Z | |
| dc.description | In this note we study a class of specifications over $d$-dimensional Wiener measure which are invariant under uniform translation of the paths. This degeneracy is removed by restricting the measure to the $σ$-algebra generated by the increments of the coordinate process. We address the problem of existence and uniqueness of Gibbs measures and prove a central limit theorem for the rescaled increments. These results apply to the study of the ground state of the Nelson model of a quantum particle interacting with a scalar boson field. | |
| dc.description | 15 pages, no figures; typos, details added to the proofs | |
| dc.identifier | https://arxiv.org/abs/math-ph/0511068 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0511068 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104695 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 82B21 | |
| dc.title | Gibbs measures for self-interacting Wiener paths | |
| dc.type | text |