Maciej P. Wojtkowski.
Monotonicity, $\Cal J$-algebra of Potapov and
Lyapunov Exponents
(69K, AMS-TEX)

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.