The Library
Directed polymers and the quantum Toda lattice
Tools
O’Connell, Neil (2012) Directed polymers and the quantum Toda lattice. Annals of Probability, Vol.40 (No.2). pp. 437-458. doi:10.1214/10-AOP632 ISSN 0091-1798.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1214/10-AOP632
Abstract
We characterize the law of the partition function of a Brownian directed polymer model in terms of a diffusion process associated with the quantum Toda lattice. The proof is via a multidimensional generalization of a theorem of Matsumoto and Yor concerning exponential functionals of Brownian motion. It is based on a mapping which can be regarded as a geometric variant of the RSK correspondence.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Annals of Probability | ||||
Publisher: | Institute of Mathematical Statistics | ||||
ISSN: | 0091-1798 | ||||
Official Date: | March 2012 | ||||
Dates: |
|
||||
Volume: | Vol.40 | ||||
Number: | No.2 | ||||
Page Range: | pp. 437-458 | ||||
DOI: | 10.1214/10-AOP632 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |