Discrete path integral approach to the Selberg trace formula for regular graphs

被引：17

作者：

Mnev, P. ^{[1
]}

机构：

[1] VA Steklov Math Inst, St Petersburg Dept, St Petersburg 191023, Russia

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2007年 / 274卷 / 01期

关键词：

Regular Graph; Trace Formula; Closed Geodesic; Closed Path; Geodesic Path;

D O I：

10.1007/s00220-007-0257-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a new proof of the Selberg trace formula for regular graphs. Our approach is inspired by path integral formulation of quantum mechanics, and calculations are mostly combinatorial.

引用

页码：233 / 241

页数：9