IFLYSIB   05383
INSTITUTO DE FISICA DE LIQUIDOS Y SISTEMAS BIOLOGICOS
Unidad Ejecutora - UE
artículos
Título:
On a multifractal pressure for countable Markov shifts
Autor/es:
VERICAT, FERNANDO; MESON, ALEJANDRO M.
Revista:
JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES
Editorial:
Taylor & Francis
Referencias:
Lugar: New Dehli; Año: 2019 vol. 17 p. 267 - 295
ISSN:
1726-037X
Resumen:
In a recent article [J. d´ Analyse Math 131, 207, 2017], Olsen intoduced a generalized notion of multifractal pressure, and also a multifractal dynamical zeta function, which essentilly consists in considering not all configurations, but those which are "multifractally relevant". In this way more precise information about the multifractal spectrum analyzed is encoded by the multifractal pressure and the multifratcal zeta function. He applied the theory for dynamical systems modelled by finite alphabet shifts, in particular for self conformal iterated systems. Here we continue with this line considering dynamical systems given by countable Markov shifts.