Now showing items 141-150 of 172
Random partitions and the quantum Benjamin-Ono hierarchy
(Massachusetts Institute of Technology, 2016)
Stanley's Cauchy identity for Jack symmetric functions defines a Jack measure, a model random partitions for every analytic real function v(w) on the unit circle and parameters E2 < 0 < E1. Jacks are eigenfunctions of the ...
Mathematical modeling of lithium-ion intercalation particles and their electrochemical dynamics
(Massachusetts Institute of Technology, 2015)
Lithium-ion battery is a family of rechargeable batteries with increasing importance that is closely related to everyone's daily life. However, despite its enormously wide applications in numerous areas, the mechanism of ...
Hyperarithmetical real numbers and hyperarithmetical analysis
(Massachusetts Institute of Technology, 1962)
Statistical methods to infer biological interactions
(Massachusetts Institute of Technology, 2014)
Biological systems are extremely complex, and our ability to experimentally measure interactions in these systems is limited by inherent noise. Technological advances have allowed us to collect unprecedented amounts of raw ...
Area-minimizing equivariant cones and coflat calibrations
(Massachusetts Institute of Technology, 1987)
The maximal rank conjecture
(Massachusetts Institute of Technology, 2018)
Let C be a general curve of genus g, embedded in Pr via a general linear series of degree d. In this thesis, we prove the Maximal Rank Conjecture, which determines the Hilbert function of C Pr.