expansive map, parabolic meromorphic functions, Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc., conformal measures, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Small divisors, rotation domains and linearization in holomorphic dynamics, Poincaré exponents, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, pressure functions