Dynamics on the Moduli Space of Pointed Rational Curves

Moduli spaces;Complex dynamics;Mathematics;Science;Mathematics

Ramadas, RohiniSmith, Karen E ;

University of Michigan

关键词: Moduli spaces;    Complex dynamics;    Mathematics;    Science;    Mathematics;   

Others  :  https://deepblue.lib.umich.edu/bitstream/handle/2027.42/138644/ramadas_1.pdf?sequence=1&isAllowed=y

瑞士|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 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.