Abnormal Escape Rates
نویسندگان
چکیده
Consider a C 1+ diieomorphism f having a uniformly hyperbolic compact invariant set , maximal invariant in some small neighbourhood of itself. The asymp-totic exponential rate of escape from any small enough neighbourhood of is given by the topological pressure of ? log jJ u fj on (Bowen{Ruelle 1975]). It has been conjectured (Eckmann{Ruelle 1985]) that this property, formulated in terms of escape from the support of a (generalized SRB) measure, using its entropy and positive Lyapunov exponents , holds more generally. We present a simple C 1 two-dimensional counterexample, constructed by a surgery using a Bowen-type hyperbolic saddle attractor as the basic plug.
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