Beck, József

It is the first book about a new aspect of Uniform distribution, called Strong Uniformity. Besides developing the theory of Strong Uniformity, the book also includes novel applications in the underdeveloped field of Large Dynamical Systems.

The subject of this monograph is to describe orbits of slowly chaotic motion. The study of geodesic flow on the unit torus is motivated by the irrational rotation sequence, where the most outstanding result is the Kronecker–Weyl equidistribution... Lire la suite

We know very little about the time-evolution of many-particle dynamical systems, the subject of our book. Even the 3-body problem has no explicit solution (we cannot solve the corresponding system of differential equations, and computer simulation... Lire la suite

This book provides a systematic introduction and treatment of non-integrable flat systems. More precisely, it develops analogues of the well-known Kronecker–Weyl equidistribution theorem for various non-integrable flat systems. The distribution... Lire la suite