1. On some problems in Lagrangian Dynamics and Finsler Geometry Open Access Author: Chen, Dong Title: On some problems in Lagrangian Dynamics and Finsler Geometry Graduate Program: Mathematics Keywords: KAM theoryFinsler metricduel lens map Hamiltonian flowperturbationmetric entropyduel lens mapHamiltonian flowperturbationmetric entropy File: Download Dong_Chen-Dissertation_V2.pdf Committee Members: Dmitri Yu Burago, Dissertation Advisor/Co-AdvisorDmitri Yu Burago, Committee Chair/Co-ChairFederico Juan Rodriguez Hertz, Committee MemberMark Levi, Committee MemberRunze Li, Outside Member