De Gruyter Functional Analysis Thermodynamic Formalism Countable Shift Spaces

This De Gruyter mathematics text provides a comprehensive treatment of countable alphabet thermodynamic formalism combined with modern functional analysis techniques for studying open dynamical systems. The book systematically explores perturbative approaches to systems with naturally occurring escape routes, examining escape rates, conditionally invariant measures, surviving equilibrium states, and Hausdorff dimension calculations for surviving sets. Essential for researchers and advanced students in dynamical systems theory, the work integrates rigorous mathematical foundations with practical applications to open systems where the dynamical medium escapes through defined holes. De Gruyter's 76th exposition in this established mathematics series delivers in-depth coverage of contemporary methods in thermodynamic formalism.