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Two Time Distribution in Brownian Directed Percolation
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-2943-7006
2016 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, 1-52 p.Article in journal (Refereed) Epub ahead of print
Abstract [en]

In the zero temperature Brownian semi-discrete directed polymer we study the joint distribution of two last-passage times at positions ordered in the time-like direction. This is the situation when we have the slow de-correlation phenomenon. We compute the limiting joint distribution function in a scaling limit. This limiting distribution is given by an expansion in determinants that is not a Fredholm expansion. A somewhat similar looking formula was derived non-rigorously in a related model by Dotsenko.

Place, publisher, year, edition, pages
Springer, 2016. 1-52 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-195031DOI: 10.1007/s00220-016-2660-5OAI: oai:DiVA.org:kth-195031DiVA: diva2:1049098
Funder
Knut and Alice Wallenberg Foundation, 2010.0063
Note

QC 20161123

Available from: 2016-11-23 Created: 2016-11-01 Last updated: 2016-11-23Bibliographically approved

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Johansson, Kurt
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