Abstract
We give a p-adic analogue of Selberg's trace formula relating the trace of a semigroup generated by a natural elliptic operator with a sum over contributions coming from closed geodesics. The construction uses probabilistic methods to define the generator.
| Original language | English |
|---|---|
| Pages (from-to) | 31-48 |
| Number of pages | 18 |
| Journal | Acta Applicandae Mathematicae |
| Volume | 71 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2002 Mar 1 |
| Externally published | Yes |
Keywords
- Geodesics
- Probabilistic methods
- Selberg's trace formula
- Semi-classical
- Trace formula
- p-adics
ASJC Scopus subject areas
- Applied Mathematics