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Brian R. Hunt

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Ergod. Th. Dynam. Sys. 16 (1996), 735-749.
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This paper describes a method for obtaining rigorous numerical
bounds on time averages for a class of one-dimensional expanding
maps. The idea is to directly estimate the absolutely continuous
invariant measure for these maps, without computing trajectories.
The main theoretical result is a bound on the convergence rate of
the Frobenius-Perron operator for such maps. The method is applied
to estimate the Lyapunov exponents for a planar map of recent
interest.

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*Last updated: May 31, 1998*