Higher multifractal analysis for simultaneous actions of Fuchsian groups

MESON, ALEJANDRO M.; VERICAT, FERNANDO

JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES

Taru Publicaciones

Lugar: New Delhi; Año: 2007 vol. 5 p. 125 - 140

1726-037X

We consider groups Ã1, Ã2,?, Ãd   acting on the hyperbolic plane H2 and by the method of Series for coding hyperbolic geodesics we can do simultaneous multifractal decompositions from the action of these groups. We obtain a variational formula for a dimension of the multifractal sets which generalizes that presented in our previous article for d =1.