# Orbital functions and heat kernels of Kleinian groups

**Authors:** Adrien Boulanger

arXiv: 1902.06580 · 2022-06-27

## TL;DR

This paper investigates the properties of orbital functions related to Kleinian groups by applying heat kernel methods, providing new insights into their geometric and spectral characteristics.

## Contribution

It introduces a heat kernel approach to analyze orbital functions of Kleinian groups, advancing the understanding of their geometric and spectral behavior.

## Key findings

- Established connections between heat kernels and orbital functions
- Derived new estimates for orbital functions in Kleinian groups
- Enhanced understanding of spectral properties of Kleinian groups

## Abstract

We study orbital functions associated to Kleinian groups through the heat kernel approach developed in \cite{artmoiheatcounting1}.

## Full text

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## Figures

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## References

36 references — full list in the complete paper: https://tomesphere.com/paper/1902.06580/full.md

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Source: https://tomesphere.com/paper/1902.06580