随机曲面的非交换几何学

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2024-05-16 DOI:10.1134/s0016266324010064

Andrei Okounkov

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引用次数: 0

摘要

摘要我们将一条非交换曲线与一个具有多边形边界的周期性、双方形、平面二聚体模型联系起来。它决定了逆卡斯特林矩阵，从而决定了所有相关性。这可以看作是凯尼恩和作者的极限形状构造的量化。我们还讨论了这一对应关系的各种推广方向。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Noncommutative Geometry of Random Surfaces

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Noncommutative Geometry of Random Surfaces

Abstract

We associate a noncommutative curve to a periodic, bipartite, planar dimer model with polygonal boundary. It determines the inverse Kasteleyn matrix and hence all correlations. It may be seen as a quantization of the limit shape construction of Kenyon and the author. We also discuss various directions in which this correspondence may be generalized.

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.