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Author

ALEJANDRO MESÓN

INSTITUTO DE FÍSICA DE LÍQUIDOS Y SISTEMAS BIOLÓGICOS (IFLYSIB) CONICET–UNLP AND GRUPO DE APLICACIONES MATEMÁTICAS Y ESTADÍSTICAS DE LA FACULTAD DE INGENIERÍA (GAMEFI) UNLP, LA PLATA, ARGENTINA, La Plata, Argentina

Published papers
10
Citations
5
Views
154
Downloads
78

Publications

10 papers
Open Access Research Article·pp. 241–259·Vol. 18, Issue 2Jul 2020

Weighted Equilibrium States at Zero Temperature

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...

AbstractReferencesFull Text PDF (628 KB)Views: 14Downloads: 8Citations: 0
Open Access Research Article·pp. 131–144·Vol. 18, Issue 1Jan 2020

On a Multifractal Pressure for Suspension Flows

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...

AbstractReferencesFull Text PDF (595 KB)Views: 13Downloads: 10Citations: 0
Open Access Article·pp. 267–295·Vol. 17, Issue 2Jul 2019

On a Multifractal Pressure for Countable Markov Shifts

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...

AbstractReferencesFull Text PDF (451 KB)Views: 13Downloads: 10Citations: 1
Open Access Article·pp. 17–32·Vol. 16, Issue 1Jan 2018

Multifractal spectrum of quotients of Birkhoff averages for a family of quadratic maps

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...

AbstractReferencesFull Text PDF (2.1 MB)Views: 9Downloads: 8Citations: 0
Open Access Article·pp. 1–26·Vol. 13, Issue 1Jan 2015

On the Irregular Part of V -Statistics Multifractal Spectra for Systems with Non-Uniform Specification

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...

AbstractReferencesFull Text PDF (1.1 MB)Views: 5Downloads: 7Citations: 1
Open Access Original Articles·pp. 125–140·Vol. 5, Issue 2Nov 2007

Higher Multifractal Analysis for Simultaneous Actions of Fuchsian Groups

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...

AbstractReferencesFull Text PDF (257 KB)Views: 10Downloads: 9Citations: 0
Open Access Original Articles·pp. 147–158·Vol. 4, Issue 2Nov 2006

Multifractal Analysis for Gibbs Ground States

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,...

AbstractReferencesFull Text PDF (228 KB)Views: 11Downloads: 5Citations: 0
Open Access Original Articles·pp. 45–54·Vol. 3, Issue 1Jan 2005

A Functional Approach to a Topological Entropy in Bornological Linear Spaces

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...

AbstractReferencesFull Text PDF (1,012 KB)Views: 9Downloads: 8Citations: 3