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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/16309We 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-figuresStatistical MechanicsMathematical PhysicsMultifractality in uniform hyperbolic lattices and in quasi-classical Liouville field theorytext