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The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to:
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On a Multifractal Pressure for Countable Markov Shifts
*ALEJANDRO MESÓNCorresponding authorMESON@IFLYSIB.UNLP.EDU.ARInstituto De Física De Líquidos Y Sistemas Biológicos (IFLYSIB), Conicet-UNLP and Grupo De Aplicaciones Matemáticas Y Estadísticas De La Facultad De Ingeniería (Gamefi) UnlpINSTITUTO 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, ARGENTINALa Plata, ArgentinaView full profile →
, FERNANDO VERICATVERICAT.FERNANDO@GMAIL.COMInstituto De Física De Líquidos Y Sistemas Biológicos (IFLYSIB), Conicet-UNLP and Grupo De Aplicaciones Matemáticas Y Estadísticas De La Facultad De Ingeniería (Gamefi) UnlpINSTITUTO 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, ARGENTINALa Plata, ArgentinaView full profile →
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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 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.
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