Dynamics on the Moduli Space of Pointed Rational Curves

[摘要] The moduli space M_{0,n} parametrizes all ways of labelling n distinct points on the Riemann sphere P^1, up to change of coordinates by Mobius transformations. Hurwitz correspondences are certain multi-valued self-maps of M_{0,n}. They arise in topology and Teichmuller theory by works of Thurston and Koch. In this thesis, we study the dynamics of Hurwitz correspondences via numerical invariants called dynamical degrees.

[发布机构] University of Michigan

[效力级别] Complex dynamics

[关键词] Moduli spaces;Complex dynamics;Mathematics;Science;Mathematics