Add to ORKGWe give the basic definition of algebraic entropy for lattice equations. The entropy is a canonical measure of the complexity of the dynamics they define. Its vanishing is a signal of integrability, and can be used as a powerful integrability detector. It is also conjectured to take remarkable values (algebraic integers)
The goal of this thesis is to provide a unified framework in which to analyze the dynamics of two se...
Dynamical systems theory has been present at the forefront of research by scientists and mathematici...
In this work we address the classical statistical mechanical problem of calculating the residual ent...
We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for...
The logarithmic Mahler measure of certain multivariate polynomials occurs frequently as the entropy ...
Whether a system is to be considered complex or not depends on how one searches for correlations. We...
We outline the most recent theory for the computation of the exponential growth rate of the number o...
Second-order discrete equations are studied over the field of rational functions C(z)C(z), where z i...
Given an equation arising from some application or theoretical consideration one of the first questi...
International audienceWe propose a definition for the entropy of capacities defined on lattices. Cla...
We report on the recent progress in theoretical and numerical studies of entanglement entropy in lat...
This article presents a new method for the study of the evolution of dynamic systems based on the no...
We study the topological entropy of a particular class of dynamical systems: cellular automata. The ...
AbstractWe study the topological entropy of a particular class of dynamical systems: cellular automa...
20 Fevrier 2005Given a new definition for the entropy of a cellular automata acting on a two-dimensi...
The goal of this thesis is to provide a unified framework in which to analyze the dynamics of two se...
Dynamical systems theory has been present at the forefront of research by scientists and mathematici...
In this work we address the classical statistical mechanical problem of calculating the residual ent...
We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for...
The logarithmic Mahler measure of certain multivariate polynomials occurs frequently as the entropy ...
Whether a system is to be considered complex or not depends on how one searches for correlations. We...
We outline the most recent theory for the computation of the exponential growth rate of the number o...
Second-order discrete equations are studied over the field of rational functions C(z)C(z), where z i...
Given an equation arising from some application or theoretical consideration one of the first questi...
International audienceWe propose a definition for the entropy of capacities defined on lattices. Cla...
We report on the recent progress in theoretical and numerical studies of entanglement entropy in lat...
This article presents a new method for the study of the evolution of dynamic systems based on the no...
We study the topological entropy of a particular class of dynamical systems: cellular automata. The ...
AbstractWe study the topological entropy of a particular class of dynamical systems: cellular automa...
20 Fevrier 2005Given a new definition for the entropy of a cellular automata acting on a two-dimensi...
The goal of this thesis is to provide a unified framework in which to analyze the dynamics of two se...
Dynamical systems theory has been present at the forefront of research by scientists and mathematici...
In this work we address the classical statistical mechanical problem of calculating the residual ent...