Open Access
Research Article·pp. 1–14·Vol. 21, Issue 1May 2023
ALEJANDRO MESÓN, FERNANDO VERICAT
Published Online: 01 May 2023DOI: 10.47974/JDSGT-21-1-P02 In this paper: We analyze when symbolic dynamical systems have intermediate relative entropies for two symbolic spaces (X, o1) and (Y, o2). By this is understood to study the denseness of relative measure-theoretic...
Open Access
Research Article·pp. 241–259·Vol. 18, Issue 2Jul 2020
ALEJANDRO MESÓN, FERNANDO VERICAT
Published Online: 02 Jul 2020DOI: 10.1080/1726037X.2020.1856340 In this paper: Weighted thermodynamic and multifractal formalism for finite alphabet subshifts have been presented by Barral and Feng (Asian J. Math, 16, 319–352, 2012). Here we analyze the problem of finding weight...
Open Access
Research Article·pp. 131–144·Vol. 18, Issue 1Jan 2020
ALEJANDRO MESÓN, FERNANDO VERICAT
Published Online: 02 Jan 2020DOI: 10.1080/1726037X.2020.1774159 In this paper: In a previous article [JDSGT17, 267-295, 2019] we have extended to countable shifts the notion of multifractal pressure previously introduced by Olsen [J. d′ Analyse Math131, 207–253, 2017]. This kind...
Open Access
Article·pp. 267–295·Vol. 17, Issue 2Jul 2019
ALEJANDRO MESÓN, FERNANDO VERICAT
Published Online: 03 Jul 2019DOI: 10.1080/1726037X.2019.1668150 In this paper: In a recent article [J. d' Analyse Math131, 207, 2017], Olsen intoduced a generalized notion of multifractal pressure, and also a multifractal dynamical zeta function, which essentilly consists in con...
Open Access
Article·pp. 17–32·Vol. 16, Issue 1Jan 2018
ALEJANDRO MESÓN, FERNANDO VERICAT
Published Online: 02 Jan 2018DOI: 10.1080/1726037X.2017.1413064 In this paper: In a recent article, Chung and Takahashi (Erg. Th & Dynan. Sys. 34, 1116 (2014)) effected a multifractal description of the Birkhoff spectrum for a set of quadratic one dimensional functions known as...
Open Access
Article·pp. 1–26·Vol. 13, Issue 1Jan 2015
ALEJANDRO MESÓN, FERNANDO VERICAT
Published Online: 02 Jan 2015DOI: 10.1080/1726037X.2015.1027108 In this paper: Let (X, f) be a dynamical system with X a compact metric space. Let Xundefined be the product of r-copies of X, r≥ 1, and Φ: Xundefined → R. The multifractal decomposition for V –statistics for Φ, f i...
Open Access
Original Articles·pp. 151–164·Vol. 9, Issue 2Jun 2013
ALEJANDRO MESÓN, FERNANDO VERICAT
Published Online: 03 Jun 2013DOI: 10.1080/1726037X.2011.10698598 In this paper: In this article we analyze two issues related with large deviations in dynamical systems: undefined
Open Access
Original Articles·pp. 125–140·Vol. 5, Issue 2Nov 2007
ALEJANDRO MESÓN, FERNANDO VERICAT
Published Online: 01 Nov 2007DOI: 10.1080/1726037X.2007.10698532 In this paper: We consider groups Γ1, Γ2, …, Γundefined acting on the hyperbolic plane H2 and by the method of Series for coding hyperbolic geodesics we can do simultaneous multifractal decompositions from the actio...
Open Access
Original Articles·pp. 147–158·Vol. 4, Issue 2Nov 2006
ALEJANDRO MESÓN, FERNANDO VERICAT
Published Online: 01 Nov 2006DOI: 10.1080/1726037X.2006.10698512 In this paper: We consider a family of Gibbs states describing the multifractal spectrum of local entropies. An accumulation point μ∞ of this sequence may be called a Gibbs ground state or a zero temperature limit,...
Open Access
Original Articles·pp. 45–54·Vol. 3, Issue 1Jan 2005
ALEJANDRO MESÓN, FERNANDO VERICAT
Published Online: 01 Jan 2005DOI: 10.1080/1726037X.2005.10698487 In this paper: We extend the classical notion of topological entropy of noncompact sets, in metric spaces, to locally convex bornological spaces. The definition of this invariant is based on the dimensional approach...