A PATCHWORK QUILT SEWN FROM BROWNIAN FABRIC: REGULARITY OF POLYMER WEIGHT PROFILES IN BROWNIAN LAST PASSAGE PERCOLATION

In last passage percolation models lying in the Kardar–Parisi–Zhang (KPZ) universality class, the energy of long energy-maximizing paths may be studied as a function of the paths’ pair of endpoint locations. Scaled coordinates may be introduced, so that these maximizing paths, or polymers, now cross...

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Bibliographic Details
Published in:Forum of Mathematics, Pi
Main Author: ALAN HAMMOND
Format: Article
Language:English
Published: Cambridge University Press 2019-01-01
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508619000027/type/journal_article