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Discrete conformal groups and measurable dynamics

1982
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Bulletin of the American Mathematical Society
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Motivated by his study of 2nd order differential equations a(z)w" + b(z)W + c(z)w = 0 Poincaré (1882) unveiled the vast subject of discrete subgroups of conformai transformations, (z -»(az + b)/(cz + d)} 9 their associated Riemann surfaces, and the intricacies of the limit set-Cantor sets, nowhere differentiable curves, etc. In this paper we discuss an interplay between discrete conformai groups acting on any dimensional ball B d+l and measurable dynamics. The development is closely related to

doi:10.1090/s0273-0979-1982-14966-7
fatcat:hfhi67ac4jcg7dzjujyiznesku