实环面上的永久点过程，Theta函数和monge - ampantere方程

Annales de la faculté des sciences de Toulouse Mathématiques Pub Date : 2016-04-19 DOI:10.5802/afst.1592

Jakob Hultgren

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引用次数: 9

摘要

受复杂几何结构的启发，我们引入了实环面上蒙日-安培方程的热力学框架。我们展示了相关点过程的收敛规律，并解释了与复杂蒙日-安培方程和最优输运的联系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Permanental Point Processes on Real Tori, Theta Functions and Monge–Ampère Equations

Inspired by constructions in complex geometry we introduce a thermodynamic framework for Monge-Ampere equations on real tori. We show convergence in law of the associated point processes and explain connections to complex Monge-Ampere equations and optimal transport.

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Annales de la faculté des sciences de Toulouse Mathématiques

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