Two Time Distribution in Brownian Directed Percolation
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
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.
IdentifiersURN: urn:nbn:se:kth:diva-195031DOI: 10.1007/s00220-016-2660-5OAI: oai:DiVA.org:kth-195031DiVA: diva2:1049098
FunderKnut and Alice Wallenberg Foundation, 2010.0063
QC 201611232016-11-232016-11-012016-11-23Bibliographically approved