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Article overview
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Escape rates for special flows and their higher order asymptotics | Fabian Dreher
; Marc Kesseböhmer
; | Date: |
2 May 2016 | Abstract: | In this paper escape rates and local escape rates for special flows are
sudied. In a general context the first result is that the escape rate depends
monotonically on the ceiling function and fulfills certain scaling, invariance,
and continuity properties. For the metric setting local escape rates are
considered. If the base transformation is ergodic and exhibits an exponential
convergence in probability of ergodic sums, then the local escape rate with
respect to the flow is just the local escape rate with respect to the base
transformation, divided by the integral of the ceiling function. Also a
reformulation with respect to induced pressure is presented. Finally, under
additional regularity conditions higher order asymptotics for the local escape
rate are established. | Source: | arXiv, 1605.0467 | Services: | Forum | Review | PDF | Favorites |
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