On a Multifractal Pressure for Suspension Flows
*ALEJANDRO MESÓNCorresponding authormeson@iflysib.unlp.edu.arConicet–Unlp and Grupo De Aplicaciones Matemáticas Y Estadísticas, De La Facultad De Ingenieróa (Gamefi) UnlpInstituto De Física De Líquidos Y Sistemas Bioló Gicos (IFLYSIB)La Plata, ArgentinaView full profile → , FERNANDO VERICATvericat@iflysib.unlp.edu.arConicet–Unlp and Grupo De Aplicaciones Matemáticas Y Estadísticas, De La Facultad De Ingenieróa (Gamefi) UnlpInstituto De Física De Líquidos Y Sistemas Bioló Gicos (IFLYSIB)La Plata, ArgentinaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 24 Nov 2019
- Accepted:
- 28 Apr 2020
- Published Online:
- 29 Jul 2020
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- 1726037X.2020.1774159
- Pages:
- 131–144
Abstract
Keywords
Subject Classifications
References
- L.Barreira, Y.Pesin and J.Schmeling, On a General Concept of Multifractality: Multifractal Spectra for Dimension, Entropies and Lyapunov Exponents. Multifractal Rigidity , , , 27 - 38 ( 1997 ). doi: 10.1063/1.166232
- L.Barreira and B.Saussol, Multifractal Analysis of hyperbolic flows , ., , 339 - 371 ( 2000 ). doi: 10.1007/s002200000268
- L.Barreira and B.Saussol, Variational principle and mixed multifractal spectra , . , , 3919 - 3944 ( 2001 ). doi: 10.1090/S0002-9947-01-02844-6
- L.Barreira and G.Iommi, Suspension flow over countable Markov shifts , . , , 207 - 230 ( 2006 ). doi: 10.1007/s10955-006-9140-9
- R.Bowen and D.Ruelle, The ergodic theory of Axiom A flows , ., , 181 - 202 ( 1975 ). doi: 10.1007/BF01389848
- K. J.Falconer, , ( John Wiley & Sons , 1997 ).
- A.Fan, J.Schmeling and M.Wu, .
- B.M.Gurevic, Topologicsl entropy for denumerable Markov chains , ., , 911 - 915 ( 1969 ).
- T.C.Halsey, M.Jensen, L.Kadanoff, I, Procaccia and B.Shraiman, Fractal Measures and Their Singularities , , , 1141 - 1151 ( 1986 ). doi: 10.1103/PhysRevA.33.1141
- H. G. E.Hentschel and I.Procaccia, The infinite number of generalized dimensions of Fractals and strange attractors , , , 435 - 444 ( 1983 ). doi: 10.1016/0167-2789(83)90235-X
- G.Iommi and T.Jordan, Multifractal Analysis and Birkhoff averages for countable Markov maps , ., , 2559 - 2586 ( 2015 ). doi: 10.1017/etds.2015.44
- G.Iommi, Multifractal analysis for countable Markov shifts , ., , 1881 - 1907 ( 2005 ). doi: 10.1017/S0143385705000350
- T.Jordan and M.Pollicott, Multifractal analysis and the variance of Gibbs measures , J , , 57 - 72 , ( 2007 ). doi: 10.1112/jlms/jdm023
- T.Kempton, Thermodynamic formalism for Suspension Flows over countable Markov shifts , , , 2763 - 2775 ( 2011 ). doi: 10.1088/0951-7715/24/10/006
- M.Lapidus, J.Lévy-Vehel and J.Rock, Fractal strings and multifractal zeta functions , ., , 101 - 129 ( 2009 ). doi: 10.1007/s11005-009-0302-y
- M.Lapidus and J.Rock, Towards zeta functions and complex dimensions of multifrtactals , ., , 545 - 559 ( 2009 ). doi: 10.1080/17476930802326758
- A.M.Mesón and F.Vericat, Dimension Theory and Fuchsian Groups , , , 95 - 121 ( 2004 ). doi: 10.1023/B:ACAP.0000013256.82510.aa
- A.M.Mesón and F.Vericat, On the topological entropy of the irregular part of statistics multifractal spectra , , , 1 - 13 ( 2013 ). doi: 10.1080/1726037X.2013.810440
- A.M.Mesón and F.Vericat, Multifratcal spectrum for barycentric averages , ., , 623 - 635 ( 2016 ). doi: 10.1007/s10883-015-9278-3
- A.M.Mesón and F.Vericat, On a multifractal pressure for countable Markov shifts , , , 267 - 295 ( 2019 ). doi: 10.1080/1726037X.2019.1668150
- L.Olsen, Dynamical Multifractal zeta functions, Multifractal Pressure and fine Multifractal spectrum , ., , 207 - 253 ( 2017 ). doi: 10.1007/s11854-017-0007-6
- Y.Pesin, ( The University of Chicago Press , Chicago and London, 1997 ).
- O.Sarig, Thermodynamic formalism for countable Markov shifts . , , 81 - 117 ( 2015 ). doi: 10.1090/pspum/089/01485
- F.Takens and E.Verbitski, Multifractal analysis of local entropies for expansive homeomorphisms with specifications , ., , 593 - 612 ( 1999 ). doi: 10.1007/s002200050627
- F.Takens and E.Verbitski, On the variational principle for the topological entropy of certain non-compact sets , , , 203 - 237 ( 2000 ).




