Titlebook: Hard Ball Systems and the Lorentz Gas; L. A. Bunimovich,D. Burago,L. S. Young,D. Szász Book 2000 Springer-Verlag Berlin Heidelberg 2000 Lo

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N. Simányiprocess, a state monster evolved that came to control almost every conceivable aspect of the economy. The all-powerful, omniscient, and omnipresent state held sway, knowing no bounds and holding no restraint against itselE

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A Geometric Approach to Semi-Dispersing Billiardsly easy statement (by the modern standards of metric geometry). In particular, this approach helped to solve an old problem of whether the number of collisions in a hard ball model is bounded from above by a quantity depending only on the system (and thus uniform for all initial conditions).

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The Lorentz Gas: A Paradigm for Nonequilibrium Stationary StatesLorentz gas appears as one of the simplest models. A number of current approaches are considered, including linear response formulae applied to equilibrium systems, thermostatted systems and boundary driven systems. All of these and the connections between them can be understood in some detail using the Lorentz gas.

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Book 2000ey laws of statistical physics can also be tested or even established by mathematically rigorous tools. The mathematical methods are most beautiful but sometimes quite involved. This collection of surveys written by leading researchers of the fields - mathematicians, physicists or mathematical physi

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