Michalski, Milosz R.2014-03-142014-03-141990etd-10122005-134403http://hdl.handle.net/10919/39745We develop a systematic approach to the problem of finding the perturbative expansion for the topological pressure for an analytic expanding dynamics (/, M) on a Riemannian manifold M. The method is based on the spectral analysis of the transfer operator C. We show that in typical cases, when / depends real-analytically on a set of perturbing parameters ,", the related operators C~ form an analytic family. This gives rise to the rigorous construction of the power series expansion for the pressure via the analytic perturbation theory for eigenvalues, [Kato]. Consequently, the pressure and related dynamical indices, such as dimension spectra, Lyapunov exponents, escape rates and Renyi entropies inherit the real-analyticity in ~ from (I,M).viii, 94 leavesBTDapplication/pdfenIn CopyrightLD5655.V856 1990.M545Differentiable dynamical systems -- ResearchDissertationhttp://scholar.lib.vt.edu/theses/available/etd-10122005-134403/