 0053 Maciej P. Wojtkowski.
 Monotonicity, $\Cal J$algebra of Potapov and
Lyapunov Exponents
(69K, AMSTEX)
Feb 1, 00

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Abstract. We present a new approach and a generalization of
the estimates of Lyapunov exponents
developed first in \cite{W2} in the symplectic case.
The work of Lewowicz \cite{L}, Markarian \cite{M},
and our \cite{W1}, \cite{W2}, \cite{W5},
are combined with the $\Cal J$algebra of Potapov,
\cite{P1},\cite{P2},\cite{P3}.
We obtain a general theory which we then specify to the
symplectic case. The appendix contains a simple
application to the gas of hard spheres.
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