Invariant Measures for Univalent Self-Maps of the Unit Disc
We develop a translation-type model for univalent self-maps phi of the unit disc D having an interior fixed-point and use the model to classify the phi-invariant measures on D. We are particularly interested in maps which can be embedded in continuous semigroups of holomorphic self-maps of D.
Complex Analysis and Operator Theory
Hornor, W. E.
(2007). Invariant Measures for Univalent Self-Maps of the Unit Disc. Complex Analysis and Operator Theory, 1(4), 549-569.
Available at: http://aquila.usm.edu/fac_pubs/1884