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arXiv · 2001.10555

The Heat Equation on the Finite Poincar\'e Upper Half-Plane

M. R. DeDeo·Elinor Velasquez
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Abstract

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

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M. R. DeDeo, Elinor Velasquez. 2020-01-28. The Heat Equation on the Finite Poincar\'e Upper Half-Plane. https://arxiv.org/abs/2001.10555

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