IFLYSIB 05383
INSTITUTO DE FISICA DE LIQUIDOS Y SISTEMAS BIOLOGICOS
Unidad Ejecutora - UE
artículos
Título:
A multifractal formalism for countable alphabet subshifts
Autor/es:
MESON, ALEJANDRO M.; VERICAT, FERNANDO
Revista:
CHAOS, SOLITONS AND FRACTALS
Editorial:
Elsevier
Referencias:
Lugar: Amsterdam; Año: 2008
ISSN:
0960-0779
Resumen:
We study here the multifractal spectrum of local entropies for subshifts with an infinite alphabet. The description of this spectrum is obtained from the Legendre transform of a free energy map and Gibbs states associated with adequate potentials. The lack of compactness in the symbolic space necessitates modifications to the description for the compact case, i.e. for finite alphabet. In particular, the class of potentials must be restricted to a narrower one than that considered for the compact case.
