Title

The heat equation on the finite poincarÉ upper half-plane

Document Type

Article

Publication Date

10-1-2021

Subject Area

ARRAY(0x55e0cac822b0)

Abstract

A differential-difference operator is used to model the heat equation on a finite graph analogue of Poincaré’s upper half-plane. Finite analogues of the classical theta functions are shown to be solutions to the heat equation in this setting.

Publication Title

Proceedings of the American Mathematical Society

Volume

149

Issue

10

First Page

4171

Last Page

4180

Digital Object Identifier (DOI)

10.1090/PROC/15610

ISSN

00029939

E-ISSN

10886826

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