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Asymptotics For The Number Of Critical Points For Two Analytical Models

Description:

In this work we explore a connection between some high dimensional asymptotic problems and random matrix theory. In the first part, we establish a link between the Wishart ensemble and random critical points of holomorphic sections over complex projective space and use this to establish asymptotics on the average number...

Keyword:

High Dimensional, Complex Geometry, Differential Equations, and Probability Theory

Subject:

Mathematics

Creator:

Xavier Eduardo Garcia

Owner:

Scholarly Digital Publishing

Date Uploaded:

11/19/2019

Date Modified:

11/19/2019

Date Created:

2018-01-01

Resource Type:

Dissertation