Contents: 0. Introduction 149 3.6. A thermodynamical formalism for unidimensional-1. Chaotic attractors as inhomogeneous fractals 152 maps 192 1.1. Why study attractors ’ dimensions? 152 3.7. Partial dimensions and entropies 19
Many different physical situations can be described by multifractal distributions. A general framewo...
Abstract. The usual fixed-size box-counting algorithms are inefficient for computing generalized fra...
‘‘Divergence of high moments and dimension of the carrier’ ’ is the subtitle of Mandelbrot’s 1974 se...
In this note, we discuss the multifractal description of anomalous scaling laws in physical phenomen...
The theory of dynamical systems has undergone a dramatical revolution in the 20th century. The beaut...
This is a very short and non-technical note written after an article published in Nature by T.C. Hal...
In this paper, multifractal aspects of the scalings laws in fully developed compressible turbulence ...
In this paper, multifractal aspects of the scalings laws in fully developed compressible turbulence ...
Two chaotic attractors observed in Lotka-Volterra equations of dimension n = 3 are shown to represen...
In the theory of quantum chaos one studies the semiclassical behaviour of quantum mechanical systems...
Both fractal geometry and dynamical systems have a long history of development and have provided fer...
Contains fulltext : 233478.pdf (Publisher’s version ) (Open Access
This self-contained monograph presents a unified exposition of the thermodynamic formalism and some ...
Many natural systems show emergent phenomena at different scales, leading to scaling regimes with si...
In this article, we propose an anomalous chaotic system of the scaling-law ordinary differential equ...
Many different physical situations can be described by multifractal distributions. A general framewo...
Abstract. The usual fixed-size box-counting algorithms are inefficient for computing generalized fra...
‘‘Divergence of high moments and dimension of the carrier’ ’ is the subtitle of Mandelbrot’s 1974 se...
In this note, we discuss the multifractal description of anomalous scaling laws in physical phenomen...
The theory of dynamical systems has undergone a dramatical revolution in the 20th century. The beaut...
This is a very short and non-technical note written after an article published in Nature by T.C. Hal...
In this paper, multifractal aspects of the scalings laws in fully developed compressible turbulence ...
In this paper, multifractal aspects of the scalings laws in fully developed compressible turbulence ...
Two chaotic attractors observed in Lotka-Volterra equations of dimension n = 3 are shown to represen...
In the theory of quantum chaos one studies the semiclassical behaviour of quantum mechanical systems...
Both fractal geometry and dynamical systems have a long history of development and have provided fer...
Contains fulltext : 233478.pdf (Publisher’s version ) (Open Access
This self-contained monograph presents a unified exposition of the thermodynamic formalism and some ...
Many natural systems show emergent phenomena at different scales, leading to scaling regimes with si...
In this article, we propose an anomalous chaotic system of the scaling-law ordinary differential equ...
Many different physical situations can be described by multifractal distributions. A general framewo...
Abstract. The usual fixed-size box-counting algorithms are inefficient for computing generalized fra...
‘‘Divergence of high moments and dimension of the carrier’ ’ is the subtitle of Mandelbrot’s 1974 se...
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