Ming Li Paul Vitányi Fourth Edition Page 1 An Introduction to Kolmogorov Complexity and Its
Applications Ming Li Paul Vitányi Fourth Edition Texts in Computer Science Page 2 Texts in …

We review here theoretical as well as practical aspects of the 0-1 test for chaos for
deterministic dynamical systems. The test is designed to distinguish between regular, ie …

The degree of dynamical randomness of different time processes is characterized in terms of
the (ε, τ)-entropy per unit time. The (ε, τ)-entropy is the amount of information generated per …

The domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical
mechanics is discussed and then formally enlarged in order to hopefully cover a variety of …

Dynamical systems and their linear stability; 2. Topological chaos; 3. Liouvillian dynamics; 4.
Probabalistic chaos; 5. Chaotic scattering; 6. Scattering theory of transport; 7. Hydrodynamic …

Chaos: from simple models to complex systems aims to guide science and engineering
students through chaos and nonlinear dynamics from classical examples to the most recent …

Nonextensive statistical mechanics is now a rapidly growing field and a new stream in the
research of the foundations of statistical mechanics. This generalization of the well-known …

This book has emerged from a meeting held during the week of May 29 to June 2, 1989, at
St. John's College in Santa Fe under the auspices of the Santa Fe Institute. The …

We present an original approach which allows us to investigate the statistical properties of a
non-uniformly hyperbolic map on the interval. Based on a stochastic approximation of the …

The domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical
mechanics is focused on along a historical perspective. It is then formally enlarged in order …