Now showing items 10-12 of 12

    Stark-Heegner points and p-adic L-functions 

    Casazza, Daniele (Date of defense: 2016-10-28)

    Let K|Q be a number field and let Z(K,s) be its associated complex L-function. The analytic class number formula relates special values of Z(K,s) with algebraic invariants of the field K itself. It admits a Galois equivariant ...

    The embedding problem for Markov matrices 

    Roca Lacostena, Jordi (Date of defense: 2021-05-18)

    The goal of this thesis is to solve the embedding problem for Markov matrices, posed by Gustav Elfving in1937. A Markov matrix is non-negative square matrix whose rows sum to 1. We say that such a matrix M is embeddable ...

    The variational approach to brittle fracture in materials with anisotropic surface energy and in thin sheets 

    Li, Bin (Date of defense: 2016-03-08)

    Fracture mechanics of brittle materials has focused on bulk materials with isotropic surface energy. In this situation different physical principles for crack path selection are very similar or even equivalent. The situation ...