IFLYSIB 05383
INSTITUTO DE FISICA DE LIQUIDOS Y SISTEMAS BIOLOGICOS
Unidad Ejecutora - UE
artículos
Título:
Weil-Petersson metric and infinite conformal iterated schemes
Autor/es:
MESON, ALEJANDRO M.; VERICAT, FERNANDO
Revista:
Differential Geometry - Dynamical Systems
Editorial:
Geometry Balkan Press
Referencias:
Lugar: Bucarest; Año: 2010 vol. 12 p. 128 - 144
ISSN:
1454-511X
Resumen:
In this article we extend results of C. McMullen about the relationship among the Weil-Petersson metric on Teichmuller space, elements from dimension theory and Ruelle thermodynamic formalism. In particular we work in a more general setting in which the dynamics are implemented by infnite iterated schemes F. Expressions relating the Hausdorff dimension of the limit set of F and the variance of Gibbs states for potentials are obtained..
