学位论文详细信息
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.
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