Nonconcave Entropies in Multifractals and the Thermodynamic Formalism

Hugo Touchette, Christian Beck

Type: Article

Publication Date: 2006-09-13

Citations: 25

DOI: https://doi.org/10.1007/s10955-006-9174-z

View Publication

Download PDF

Locations

Journal of Statistical Physics - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	On the thermodynamic formalism for multifractal functions	1994	Ingrid Daubechies Jeffrey C. Lagarias
+	A multifractal formalism in a probability space	2005	Yueling Li Chaoshou Dai
+	Multifractal analysis of weighted local entropies	2017	Xiang Shao Rongliang Lu Cao Zhao
+	The entropies and multifractal spectrum of some compact systems	2007	Dongkui Ma Min Wu Cuijun Liu
+	The thermodynamic formalism of random walks: Relevance for chaotic diffusion and multifractal measures	1997	Günter Radons
+	Multifractal Analysis for the Teichmüller Flow	2011	Alejandro Mesón Fernando Vericat
+	Multifractal analysis of local entropies for recurrence time	2006	Zhenzhen Yan Ercai Chen
+	Multifractals: Formalism and Experiments	1987	Mogens H. Jensen
+	Multifractals	1987	H. Eugene Stanley
+	Fractal entropies and dimensions for microstates spaces	2004	Kenley Jung
+	Multifractal measures	1992	Jacques Peyrière
+ PDF Chat	Multifractal spectra and multifractal zeta-functions	2016	Vuksan Mijović L. Olsen
+ PDF Chat	Multifractal formalism derived from thermodynamics for general dynamical systems	2010	Vaughn Climenhaga
+ PDF Chat	Multifractal analysis on the sphere	2008	E. Koenig Chainais Pierre
+	Variational analysis for the multifractal spectra of local entropies and Lyapunov exponents	2003	Alejandro Mesón Fernando Vericat
+	On the multifractal analysis of measures	1992	G. Brown Gérard Michon J. Peyri�re
+	Multifractality	1997	Thomas C. Halsey
+	Simultaneous multifractal decompositions for the spectra of local entropies and ergodic averages	2007	Alejandro Mesón Fernando Vericat
+	Multifractal formalism derived from thermodynamics	2010	Vaughn Climenhaga
+ PDF Chat	Thorough study of non-classical multifractional processes	2023	Florent Bouly

Works That Cite This (15)

Action	Title	Year	Authors
+ PDF Chat	A Generalized Multifractal Formalism for the Estimation of Nonconcave Multifractal Spectra	2018	Roberto Leonarduzzi Patrice Abry Herwig Wendt Stéphane Jaffard Hugo Touchette
+	Specific behavior of one chaotic dynamics near the fine-structure constant	2012	Д. Б. Волов
+ PDF Chat	Multifractal spectrum of phase space related to generalized thermostatistics	2007	A. I. Olemskoĭ Vasyl O. Kharchenko V. N. Borisyuk
+ PDF Chat	Negative magnetic susceptibility and nonequivalent ensembles for the mean-field spin model	2007	Alessandro Campa Stefano Ruffo Hugo Touchette
+ PDF Chat	Fluctuations of Observables in Dynamical Systems: From Limit Theorems to Concentration Inequalities	2015	Jean-René Chazottes
+ PDF Chat	Large-scale fluctuations of the largest Lyapunov exponent in diffusive systems	2015	Tanguy Laffargue Peter Sollich Julien Tailleur Frédéric van Wijland
+ PDF Chat	Counting Function Fluctuations and Extreme Value Threshold in Multifractal Patterns: The Case Study of an Ideal 1/f Noise	2012	Yan V. Fyodorov Pierre Le Doussal Alberto Rosso
+ PDF Chat	The thermodynamic approach to multifractal analysis	2014	Vaughn Climenhaga
+	Simple spin models with non-concave entropies	2007	Hugo Touchette
+ PDF Chat	The large deviation approach to statistical mechanics	2009	Hugo Touchette

Works Cited by This (29)

Action	Title	Year	Authors
+	Phase Transitions on Strange Attractors and Fractal Aggregates	1988	Mogens H. Jensen
+	Phase transitions associated with dynamical properties of chaotic systems	1987	P. Szépfalusy Tamás Tél András Csordás Zoltán Kovács
+ PDF Chat	Generalized canonical ensembles and ensemble equivalence	2006	Marius Costeniuc Richard S. Ellis Hugo Touchette Bruce Turkington
+	Dynamical phase transitions in hierarchical structures	1986	A.–M. S. Tremblay
+	Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon	1981	Thomas A. Witten Leonard M. Sander
+	An overview of the theory of large deviations and applications to statistical mechanics	1995	Richard S. Ellis
+	Scaling structure of the surface layer of diffusion-limited aggregates	1986	Thomas C. Halsey Paul Meakin Itamar Procaccia
+	Large deviations formalism for multifractals	1999	Gady Zohar
+	Global Bifurcations and Fluctuation Spectra of Local Expansion Rates in Nonlinear Dynamical Systems	1989	Takeshi Yoshida Syuji Miyazaki
+ PDF Chat	Microcanonical scaling in small systems	2004	Michel Pleimling Hans Behrinǵer Alfred Hüller