Measure theoretic entropy of the system of hard spheres
- 1 March 1988
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 8 (1) , 133-153
- https://doi.org/10.1017/s0143385700004363
Abstract
We estimate from below the measure theoretic entropy of the system of spheres interacting by elastic collisions. We find the asymptotics of the entropy in the case of two disks on atoms as the radius increases. We establish that high density leads to large entropy. We introduce a general estimate for Lyapunov exponents in the case of special symplectic matrices.Keywords
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