We conjecture that the fractal dimension of hyperbolic sets can be computed by adding those of their stable and unstable slices. This would facilitate substantial progress in the calculation or estimation of these dimensions, which are related in deep ways to dynamical properties. We prove the conjecture in a model case of Smale solenoids
Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and ...
We prove the long-standing Eckmann-Ruelle conjecture in dimension theory of smooth dynamical systems...
We prove the long-standing Eckmann--Ruelle conjecture in dimension theory of smooth dynamical system...
Chaotic transients occur in many experiments including those in fluids, in simulations of the plane ...
This book provides a generalised approach to fractal dimension theory from the standpoint of asymmet...
For conservative dynamical systems, the invariant sets which are in a sense the analog of the strang...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
Fractal is a set, which geometric pattern is self-similar at different scales. It has a fractal dime...
El objetivo principal de este trabajo fue analizar con detalles las propiedades de dimensión topológ...
<正> In many natural phenomena, the long-term behavior of the phase space usually concentrates ...
We relate various concepts of fractal dimension of the limiting set C in fractal percolation to the ...
In this note we investigate radial limit sets of arbitrary regular conformal iterated function syste...
Starting from the working hypothesis that both physics and the corresponding mathematics have to be ...
AbstractIn this note we investigate radial limit sets of arbitrary regular conformal iterated functi...
We relate various concepts of fractal dimension of the limiting set in fractal percolation to the di...
Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and ...
We prove the long-standing Eckmann-Ruelle conjecture in dimension theory of smooth dynamical systems...
We prove the long-standing Eckmann--Ruelle conjecture in dimension theory of smooth dynamical system...
Chaotic transients occur in many experiments including those in fluids, in simulations of the plane ...
This book provides a generalised approach to fractal dimension theory from the standpoint of asymmet...
For conservative dynamical systems, the invariant sets which are in a sense the analog of the strang...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
Fractal is a set, which geometric pattern is self-similar at different scales. It has a fractal dime...
El objetivo principal de este trabajo fue analizar con detalles las propiedades de dimensión topológ...
<正> In many natural phenomena, the long-term behavior of the phase space usually concentrates ...
We relate various concepts of fractal dimension of the limiting set C in fractal percolation to the ...
In this note we investigate radial limit sets of arbitrary regular conformal iterated function syste...
Starting from the working hypothesis that both physics and the corresponding mathematics have to be ...
AbstractIn this note we investigate radial limit sets of arbitrary regular conformal iterated functi...
We relate various concepts of fractal dimension of the limiting set in fractal percolation to the di...
Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and ...
We prove the long-standing Eckmann-Ruelle conjecture in dimension theory of smooth dynamical systems...
We prove the long-standing Eckmann--Ruelle conjecture in dimension theory of smooth dynamical system...
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