Chaos and Coarse Graining in Statistical Mechanics
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Dynamical indicators for chaotic systems: Lyapunov exponents, entropies and beyond

2009 ◽  
pp. 24-57
Author(s):  
Patrizia Castiglione ◽  
Massimo Falcioni ◽  
Annick Lesne ◽  
Angelo Vulpiani
Keyword(s):  
Lyapunov Exponents ◽  
Chaotic Systems

Foundation of statistical mechanics and dynamical systems

2009 ◽  
pp. 92-119
Author(s):  
Patrizia Castiglione ◽  
Massimo Falcioni ◽  
Annick Lesne ◽  
Angelo Vulpiani
Keyword(s):  
Dynamical Systems ◽  
Statistical Mechanics

Coarse-graining equations in complex systems

2009 ◽  
pp. 185-216
Author(s):  
Patrizia Castiglione ◽  
Massimo Falcioni ◽  
Annick Lesne ◽  
Angelo Vulpiani
Keyword(s):  
Complex Systems ◽  
Coarse Graining

The role of chaos in non-equilibrium statistical mechanics

2009 ◽  
pp. 150-184
Author(s):  
Patrizia Castiglione ◽  
Massimo Falcioni ◽  
Annick Lesne ◽  
Angelo Vulpiani
Keyword(s):  
Statistical Mechanics ◽  
Equilibrium Statistical Mechanics ◽  
Non Equilibrium

On the origin of irreversibility

2009 ◽  
pp. 120-149
Author(s):  
Patrizia Castiglione ◽  
Massimo Falcioni ◽  
Annick Lesne ◽  
Angelo Vulpiani

Basic concepts of dynamical systems theory

2009 ◽  
pp. 1-23
Author(s):  
Patrizia Castiglione ◽  
Massimo Falcioni ◽  
Annick Lesne ◽  
Angelo Vulpiani
Keyword(s):  
Dynamical Systems ◽  
Systems Theory ◽  
Dynamical Systems Theory ◽  
Basic Concepts

Coarse graining, entropies and Lyapunov exponents at work

2009 ◽  
pp. 58-91
Author(s):  
Patrizia Castiglione ◽  
Massimo Falcioni ◽  
Annick Lesne ◽  
Angelo Vulpiani
Keyword(s):  
Lyapunov Exponents ◽  
Coarse Graining

Preface

2009 ◽  
pp. vii-x
Author(s):  
Patrizia Castiglione ◽  
Massimo Falcioni ◽  
Annick Lesne ◽  
Angelo Vulpiani

Renormalization-group approaches

2009 ◽  
pp. 217-265
Author(s):  
Patrizia Castiglione ◽  
Massimo Falcioni ◽  
Annick Lesne ◽  
Angelo Vulpiani
Keyword(s):  
Renormalization Group
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