Multifractality in uniform hyperbolic lattices and in quasi-classical Liouville field theory

Comtet, A.; Nechaev, S.; Voituriez, R.

Multifractality in uniform hyperbolic lattices and in quasi-classical Liouville field theory

Authors

Comtet, A.

Nechaev, S.

Voituriez, R.

Description

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.
24 pages, 8 eps-figures