Average exit time for volume-preserving maps

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Average exit time for volume-preserving maps.

For a volume-preserving map, we show that the exit time averaged over the entry set of a region is given by the ratio of the measure of the accessible subset of the region to that of the entry set. This result is primarily of interest to show two things: First, it gives a simple bound on the algebraic decay exponent of the survival probability. Second, it gives a tool for computing the measure ...

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ژورنال

عنوان ژورنال: Chaos: An Interdisciplinary Journal of Nonlinear Science

سال: 1997

ISSN: 1054-1500,1089-7682

DOI: 10.1063/1.166245