THE HEAT CONTENT OF TRIANGLES

Author

Reed Campbell Meyerson

Date of Award

2016

Document Type

Thesis

Degree Name

Bachelors

Department

Natural Sciences

First Advisor

McDonald, Patrick

Area of Concentration

Mathematics

Abstract

It is well known that the Dirichlet spectrum of a domain contains a significant amount of geometric information. In particular, the Dirichlet spectrum of a triangle is unique in the space of triangles. In this thesis, we adapt techniques from spectral geometry to show that a triangle is determined by its heat content.

Recommended Citation

Meyerson, Reed Campbell, "THE HEAT CONTENT OF TRIANGLES" (2016). Theses & ETDs. 6481.
https://digitalcommons.ncf.edu/theses_etds/6481