Vol. 1, No. 1, 2020
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Observables of coloured stochastic vertex models and their polymer limits

Alexei Borodin and Michael Wheeler
Vol. 1 (2020), No. 1, 205–265
DOI: 10.2140/pmp.2020.1.205
Abstract

In the context of the coloured stochastic vertex model in a quadrant, we identify a family of observables whose averages are given by explicit contour integrals. The observables are certain linear combinations of q-moments of the coloured height functions of the model. In a polymer limit, this yields integral representations for moments of partition functions of strict-weak, semidiscrete Brownian, and continuum Brownian polymers with varying beginning and ending points of the polymers.

Keywords
observables, stochastic vertex models, polymer models
Mathematical Subject Classification 2010
Primary: 60K35
Milestones
Received: 22 March 2020
Revised: 6 September 2020
Accepted: 21 September 2020
Published: 16 November 2020
Authors
Alexei Borodin
Department of Mathematics
Massachusetts Institute of Technology
Cambridge, MA
United States		 Institute for Information Transmission Problems
Moscow
Russia
Michael Wheeler
School of Mathematics and Statistics
University of Melbourne
Parkville VIC
Australia