1. Contributions to the analytic theory of the Hypoelliptic Laplacian Restricted (Penn State Only) Author: Liu, Shiqi Title: Contributions to the analytic theory of the Hypoelliptic Laplacian Graduate Program: Mathematics (PHD) Keywords: hypoellipticnilpotent groupselliptic regularity File: Login to Download Committee Members: Ping Xu, Major Field MemberNigel Higson, Chair & Dissertation AdvisorAlexei Novikov, Major Field MemberEugenio Bianchi, Outside Unit & Field MemberPierre-Emmanuel Jabin, Program Head/Chair