Abstract
We introduce a deterministic model defined on a two dimensional hyperbolic lattice. This model provides an example of a non random system whose multifractal behaviour has a number theoretic origin. We determine the multifractal exponents, discuss the termination of multifractality and conjecture the geometric origin of the multifractal behavior in Liouville quasi-classical field theory.
| Original language | English |
|---|---|
| Pages (from-to) | 203-230 |
| Number of pages | 28 |
| Journal | Journal of Statistical Physics |
| Volume | 102 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 1 Jan 2001 |
| Externally published | Yes |
Keywords
- Hyperbolic 2-space
- Invariant measure
- Multifractality
- Quasi-classical liouville field theory
- Random matrices