Observables of coloured stochastic vertex models and their polymer limits
Observables of coloured stochastic vertex models and their polymer limits
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DOI：
10.2140/pmp.2020.1.205
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发表时间：
2020-01
期刊：
影响因子：
--
通讯作者：
A. Borodin;M. Wheeler
中科院分区：
文献类型：
--
作者：
A. Borodin;M. Wheeler
在象限的彩色随机顶点模型中，我们确定了一类可观测值，它们的平均值由显式轮廓积分给出。可观测值是模型的有色高度函数的q阶矩的线性组合。在聚合物极限下，这得到了具有不同起始点和结束点的严格弱、半离散布朗和连续布朗聚合物配分函数矩的积分表示。
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, semi-discrete Brownian, and continuum Brownian polymers with varying beginning and ending points of the polymers.