Determinantal Structures in the O’Connell-Yor Directed Random Polymer Model

We study the semi-discrete directed random polymer model introduced by O’Connell and Yor. We obtain a representation for the moment generating function of the polymer partition function in terms of a determinantal measure. This measure is an extension of the probability measure of the eigenvalues fo...

Full description

Saved in:
Bibliographic Details
Published in:Journal of statistical physics 2016-05, Vol.163 (4), p.675-713
Main Authors: Imamura, Takashi, Sasamoto, Tomohiro
Format: Article
Language:English
Subjects:
Analysis
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Polymer industry
Polymers
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c437t-5fe3c1a0ac421bf11e53c80b50d45911f319665dcca817fb462490a7d8e7ad873
cites cdi_FETCH-LOGICAL-c437t-5fe3c1a0ac421bf11e53c80b50d45911f319665dcca817fb462490a7d8e7ad873
container_end_page 713
container_issue 4
container_start_page 675
container_title Journal of statistical physics
container_volume 163
creator Imamura, Takashi
Sasamoto, Tomohiro
description We study the semi-discrete directed random polymer model introduced by O’Connell and Yor. We obtain a representation for the moment generating function of the polymer partition function in terms of a determinantal measure. This measure is an extension of the probability measure of the eigenvalues for the Gaussian unitary ensemble in random matrix theory. To establish the relation, we introduce another determinantal measure on larger degrees of freedom and consider its few properties, from which the representation above follows immediately.
doi_str_mv 10.1007/s10955-016-1492-1
format article
fullrecord <record><control><sourceid>gale_cross</sourceid><recordid>TN_cdi_gale_infotracacademiconefile_A450073715</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A450073715</galeid><sourcerecordid>A450073715</sourcerecordid><originalsourceid>FETCH-LOGICAL-c437t-5fe3c1a0ac421bf11e53c80b50d45911f319665dcca817fb462490a7d8e7ad873</originalsourceid><addsrcrecordid>eNp9kDtOAzEQhi0EEiFwADpfwMGzu95HGSW8pERBPAoqy7Fnw0a7NrKdIh3X4HqcBEehRlOMNPq_kf6PkGvgE-C8ugnAGyEYh5JB0WQMTsgIRJWxpoT8lIw4zzJWVCDOyUUIW855UzdiRJZzjOiHziobVU9fot_puPMYaGdp_EC6-vn6njlrse_Zu_N03nnUEQ19Vta4gT65fj-gp0tnsL8kZ63qA1797TF5u7t9nT2wxer-cTZdMF3kVWSixVyD4koXGaxbABS5rvlacFOIBqDNoSlLYbRWNVTtuiizouGqMjVWytRVPiaT49-N6lF2tnXRK53G4NBpZ7Ht0n1aiKQmT6UTAEdAexeCx1Z--m5Qfi-By4NAeRQok0B5ECghMdmRCSlrN-jl1u28Tb3-gX4BZ1dz5Q</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Determinantal Structures in the O’Connell-Yor Directed Random Polymer Model</title><source>Springer Link</source><creator>Imamura, Takashi ; Sasamoto, Tomohiro</creator><creatorcontrib>Imamura, Takashi ; Sasamoto, Tomohiro</creatorcontrib><description>We study the semi-discrete directed random polymer model introduced by O’Connell and Yor. We obtain a representation for the moment generating function of the polymer partition function in terms of a determinantal measure. This measure is an extension of the probability measure of the eigenvalues for the Gaussian unitary ensemble in random matrix theory. To establish the relation, we introduce another determinantal measure on larger degrees of freedom and consider its few properties, from which the representation above follows immediately.</description><identifier>ISSN: 0022-4715</identifier><identifier>EISSN: 1572-9613</identifier><identifier>DOI: 10.1007/s10955-016-1492-1</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Analysis ; Mathematical and Computational Physics ; Physical Chemistry ; Physics ; Physics and Astronomy ; Polymer industry ; Polymers ; Quantum Physics ; Statistical Physics and Dynamical Systems ; Theoretical</subject><ispartof>Journal of statistical physics, 2016-05, Vol.163 (4), p.675-713</ispartof><rights>Springer Science+Business Media New York 2016</rights><rights>COPYRIGHT 2016 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c437t-5fe3c1a0ac421bf11e53c80b50d45911f319665dcca817fb462490a7d8e7ad873</citedby><cites>FETCH-LOGICAL-c437t-5fe3c1a0ac421bf11e53c80b50d45911f319665dcca817fb462490a7d8e7ad873</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Imamura, Takashi</creatorcontrib><creatorcontrib>Sasamoto, Tomohiro</creatorcontrib><title>Determinantal Structures in the O’Connell-Yor Directed Random Polymer Model</title><title>Journal of statistical physics</title><addtitle>J Stat Phys</addtitle><description>We study the semi-discrete directed random polymer model introduced by O’Connell and Yor. We obtain a representation for the moment generating function of the polymer partition function in terms of a determinantal measure. This measure is an extension of the probability measure of the eigenvalues for the Gaussian unitary ensemble in random matrix theory. To establish the relation, we introduce another determinantal measure on larger degrees of freedom and consider its few properties, from which the representation above follows immediately.</description><subject>Analysis</subject><subject>Mathematical and Computational Physics</subject><subject>Physical Chemistry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Polymer industry</subject><subject>Polymers</subject><subject>Quantum Physics</subject><subject>Statistical Physics and Dynamical Systems</subject><subject>Theoretical</subject><issn>0022-4715</issn><issn>1572-9613</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp9kDtOAzEQhi0EEiFwADpfwMGzu95HGSW8pERBPAoqy7Fnw0a7NrKdIh3X4HqcBEehRlOMNPq_kf6PkGvgE-C8ugnAGyEYh5JB0WQMTsgIRJWxpoT8lIw4zzJWVCDOyUUIW855UzdiRJZzjOiHziobVU9fot_puPMYaGdp_EC6-vn6njlrse_Zu_N03nnUEQ19Vta4gT65fj-gp0tnsL8kZ63qA1797TF5u7t9nT2wxer-cTZdMF3kVWSixVyD4koXGaxbABS5rvlacFOIBqDNoSlLYbRWNVTtuiizouGqMjVWytRVPiaT49-N6lF2tnXRK53G4NBpZ7Ht0n1aiKQmT6UTAEdAexeCx1Z--m5Qfi-By4NAeRQok0B5ECghMdmRCSlrN-jl1u28Tb3-gX4BZ1dz5Q</recordid><startdate>20160501</startdate><enddate>20160501</enddate><creator>Imamura, Takashi</creator><creator>Sasamoto, Tomohiro</creator><general>Springer US</general><general>Springer</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20160501</creationdate><title>Determinantal Structures in the O’Connell-Yor Directed Random Polymer Model</title><author>Imamura, Takashi ; Sasamoto, Tomohiro</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c437t-5fe3c1a0ac421bf11e53c80b50d45911f319665dcca817fb462490a7d8e7ad873</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Analysis</topic><topic>Mathematical and Computational Physics</topic><topic>Physical Chemistry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Polymer industry</topic><topic>Polymers</topic><topic>Quantum Physics</topic><topic>Statistical Physics and Dynamical Systems</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Imamura, Takashi</creatorcontrib><creatorcontrib>Sasamoto, Tomohiro</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of statistical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Imamura, Takashi</au><au>Sasamoto, Tomohiro</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Determinantal Structures in the O’Connell-Yor Directed Random Polymer Model</atitle><jtitle>Journal of statistical physics</jtitle><stitle>J Stat Phys</stitle><date>2016-05-01</date><risdate>2016</risdate><volume>163</volume><issue>4</issue><spage>675</spage><epage>713</epage><pages>675-713</pages><issn>0022-4715</issn><eissn>1572-9613</eissn><abstract>We study the semi-discrete directed random polymer model introduced by O’Connell and Yor. We obtain a representation for the moment generating function of the polymer partition function in terms of a determinantal measure. This measure is an extension of the probability measure of the eigenvalues for the Gaussian unitary ensemble in random matrix theory. To establish the relation, we introduce another determinantal measure on larger degrees of freedom and consider its few properties, from which the representation above follows immediately.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10955-016-1492-1</doi><tpages>39</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0022-4715
ispartof Journal of statistical physics, 2016-05, Vol.163 (4), p.675-713
issn 0022-4715
1572-9613
language eng
recordid cdi_gale_infotracacademiconefile_A450073715
source Springer Link
subjects Analysis
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Polymer industry
Polymers
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
title Determinantal Structures in the O’Connell-Yor Directed Random Polymer Model
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T08%3A45%3A30IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Determinantal%20Structures%20in%20the%20O%E2%80%99Connell-Yor%20Directed%20Random%20Polymer%20Model&rft.jtitle=Journal%20of%20statistical%20physics&rft.au=Imamura,%20Takashi&rft.date=2016-05-01&rft.volume=163&rft.issue=4&rft.spage=675&rft.epage=713&rft.pages=675-713&rft.issn=0022-4715&rft.eissn=1572-9613&rft_id=info:doi/10.1007/s10955-016-1492-1&rft_dat=%3Cgale_cross%3EA450073715%3C/gale_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c437t-5fe3c1a0ac421bf11e53c80b50d45911f319665dcca817fb462490a7d8e7ad873%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rft_galeid=A450073715&rfr_iscdi=true