F RACTAL MEASURES FOR MEROMORPHIC FUNCTIONS OF FINITE ORDER

There exists a (unbounded) sequence N n and a sequence of admissible functions (f n ) of multiplicities N n such that the dimension of harmonic measure ω of the Cantor set X

In the first two sections we talk about the sofic subshift and sofic measures, also usually called hidden Markov measures, submarkov measures, functions of Markov chains,

Our approach for constructing the maximal entropy measure and the harmonic measure for the geodesic flow on Riemannian negatively curved manifolds can be

Coming back to Theorem 1.5, the only positive result we know so far is that every positive semidefinite analytic function germ on a compact set is a finite sum of squares of

Applications of this theorem include Julia sets of trigonometric and elliptic

maps M diffeomorphically onto the interval with asymptotic values 0, I/A as the endpoints, so f\ has an attracting fixed point p\ 6 (0; I/A), and the entire real axis lies in

an exceptional function in the sense of this theorem for the par- ticular class of functions of infinite order. (ii) Theorem 2 generalises Theorem 2 of Shah

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