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

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

2000-04-28

arxiv.org/abs/cond-mat/0004491v1

J. Stat. Phys. 102, 1/2 (2001)

Physics

Condensed Matter

Statistical Mechanics

24 pages, 8 eps-figures

Scientific paper

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.

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