拓扑递归的阶乘增长

IF 1.4 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2025-05-28 DOI:10.1007/s11005-025-01950-z

Gaëtan Borot, Bertrand Eynard, Alessandro Giacchetto

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引用次数: 0

摘要

我们证明了拓扑递归的n点，属-g相关函数在任何具有简单分支的正则谱曲线上最多像\((2g - 2 + n)!\)一样增长为\(g \rightarrow \infty \)，这是预期的增长率。特别地，这为许多大属的曲线计数问题提供了一个上界，并作为复现分析的初步步骤。

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The factorial growth of topological recursion

We show that the n-point, genus-g correlation functions of topological recursion on any regular spectral curve with simple ramifications grow at most like \((2g - 2 + n)!\) as \(g \rightarrow \infty \), which is the expected growth rate. This provides, in particular, an upper bound for many curve counting problems in large genus and serves as a preliminary step for a resurgence analysis.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.