The heat equation on the finite Poincaré upper half-plane

DOI10.1090/proc/15610zbMath1472.35417arXiv2001.10555OpenAlexW3158650148MaRDI QIDQ5012097

Michelle DeDeo, Elinor Velasquez

Publication date: 31 August 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10555

zbMATH Keywords

heat equationCayley graphtheta functioncombinatorial Laplacianzonal spherical functionfinite upper half-plane

Mathematics Subject Classification ID

Applications of graph theory (05C90) Heat equation (35K05) Harmonic analysis and spherical functions (43A90) Finite upper half-planes (11T60) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

• Coverings, heat kernels and spanning trees
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Random Walks and Heat Kernels on Graphs
• Introduction to Analysis on Graphs
• Noyau de diffusion sur les espaces homogènes compacts
• The heat kernel on the two-sphere
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