Using the full power of countable alphabet thermodynamic formalism and modern functional analysis, the book presents a systematic treatment of the perturbative approach to open dynamical systems, covering those generated by a large class of naturally occurring holes through which the dynamical medium escapes. It highlights escape rates, conditionally invariant measures, surviving equilibrium states, and Hausdorff dimension of surviving sets.
M. Urbaski, U of North Texas; T. Das, U of Wisconsin, USA; G. Tiozzo, U of Toronto, Canada; A. Zdunik, U of Warsaw, Poland.