An explicit integral formula for the heat kernel and the full Laplace spectrum of the Cayley graph of the modular group are derived by solving the spectral problem on a weighted line that the graph covers.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.GR 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
On the heat kernel of a Cayley graph of $\operatorname{PSL}_2\mathbb{Z}$
An explicit integral formula for the heat kernel and the full Laplace spectrum of the Cayley graph of the modular group are derived by solving the spectral problem on a weighted line that the graph covers.