# Higher order deformations of hyperbolic spectra

## TL;DR

This paper discusses advanced deformations of hyperbolic spectra, focusing on higher order phenomena and Fermi's golden rule within the context of hyperbolic manifolds, reflecting ongoing research interests of Erik Balslev.

## Contribution

It provides an expanded overview of higher order spectral deformations and their relation to Fermi's golden rule in hyperbolic geometry, building on previous research.

## Key findings

- Analysis of higher order spectral phenomena
- Connections to Fermi's golden rule in hyperbolic manifolds
- Extension of previous theoretical frameworks

## Abstract

This is an expanded writeup of a talk given by the second author at Erik Balslev's 75th birthday conference on October 1-2, 2010 at Aarhus University. We summarize our work on Fermi's golden rule and higher order phenomena for hyperbolic manifolds. A topic which occupied the last part of Erik Balslev's research.