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

Alain Comtet; Sergei Nechaev; Raphaël Voituriez

doi:10.1023/A:1026568810945

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

Alain Comtet
, Sergei Nechaev
, Raphaël Voituriez

Lab. de Phys. Theorique el M.
Université Paris-Saclay
Landau Institute for Theoretical Physics, Russian Academy of Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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	https://doi.org/10.1023/A:1026568810945
Publication status	Published - 1 Jan 2001
Externally published	Yes

Keywords

Hyperbolic 2-space
Invariant measure
Multifractality
Quasi-classical liouville field theory
Random matrices

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10.1023/A:1026568810945

Cite this

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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.",

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AB - 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.

KW - Hyperbolic 2-space

KW - Invariant measure

KW - Multifractality

KW - Quasi-classical liouville field theory

KW - Random matrices

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JF - Journal of Statistical Physics

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ER -

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

Abstract

Keywords

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