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- W2964283755 abstract "For a class of non-uniformly hyperbolic interval maps, we study rates of escape with respect to conformal measures associated with a family of geometric potentials. We establish the existence of physically relevant conditionally invariant measures and equilibrium states and prove a relation between the rate of escape and pressure with respect to these potentials. As a consequence, we obtain a Bowen formula: we express the Hausdorff dimension of the set of points which never exit through the hole in terms of the relevant pressure function. Finally, we obtain an expression for the derivative of the escape rate in the zero-hole limit." @default.
- W2964283755 created "2019-07-30" @default.
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- W2964283755 date "2017-07-11" @default.
- W2964283755 modified "2023-10-18" @default.
- W2964283755 title "Equilibrium states, pressure and escape for multimodal maps with holes" @default.
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- W2964283755 doi "https://doi.org/10.1007/s11856-017-1547-2" @default.
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