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Observables of coloured
stochastic vertex models and their polymer limits
Alexei Borodin and Michael Wheeler |
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Vol. 1 (2020), No. 1, 205–265
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Abstract |
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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 -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. |
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Keywords
observables, stochastic vertex models, polymer models
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Mathematical Subject Classification 2010
Primary: 60K35
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Milestones
Received: 22 March 2020
Revised: 6 September 2020
Accepted: 21 September 2020
Published: 16 November 2020
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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 |
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