# Limiting cycles and periods of Maass forms

## TL;DR

This paper investigates the behavior of Maass forms along specific non-closed geodesics that approach closed geodesics, focusing on their limiting cycles and periods.

## Contribution

It introduces a new analysis of generalized periods of Maass forms along non-closed geodesics with closed geodesic limit sets.

## Key findings

- Identification of limiting cycles for Maass forms
- Characterization of periods along non-closed geodesics
- Insights into the structure of Maass forms near closed geodesics

## Abstract

We consider (generalized) periods of Maass forms along non-closed geodesics having a closed geodesic as the limit set.