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Rotation, Entropy, and Equilibrium States
"... . For a dynamical system (X; T ) and function f : X ! R d we consider the corresponding generalised rotation set. We present a new approach to studying the entropy of rotation vectors in terms of equilibrium states. We relate this to the lost and directional ergodic measures and directional entro ..."
Abstract
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entropy introduced by Geller & Misiurewicz [14]. If (X; T ) is a mixing subshift of finite type, and f is of summable variation, we prove that at interior points of the rotation set the (directional) entropy is attained by a (unique) lost measure, and at exposed points it is attained by a directional
