Now showing items 50-69 of 110

• #### Lam-Williams Markov chains on symmetric groups ﻿

(2014-02-24)
This paper reviews the current state of the Lam-Williams conjectures on a multivariate Markov chain on the symmetric group S_n. We start with Lam's work on random core partitions which led to a remarkable Markov chain on ...
• #### Local cohomology at generic singularities of Schubert varieties in cominuscule flag varieties ﻿

(2012-09-13)
We study the local cohomology of a Schubert variety in a co-minuscule flag variety at a generic singularity. Let $G$ be a reductive complex algebraic group with a Borel subgroup $B$, let $W$ be the Weyl group of $G$ with ...
• #### Local Set Approximation: Infinitesimal to Local Theorems for Sets in Euclidean Space and Applications ﻿

In this thesis we develop the theory of Local Set Approximation (LSA), a framework which arises naturally from the study of sets with singularities. That is, we describe the local structure of a set A in Euclidean space ...
• #### Markov chain mixting time, card shuffling and spin systems dynamics ﻿

(2013-07-25)
The mixing time of a Markov chain describes how fast the Markov chain converges to its stationary distribution. In this thesis, we survey some of the knowledge and main tools available in this field by looking at examples. ...
• #### Markov partitions for hyperbolic toral automorphisms ﻿

(1992)
The study of the dynamical properties of hyperbolic toral automorphisms is simplified when the automorphisms are represented as shifts of finite type. The conventional method used to represent such an automorphism symbolically ...
• #### Mathematical Aspects of Gerrymandering ﻿

(2013-11-14)
Every 10 years the United States performs a census, and this census determines how many members of congress will represent each state. Then begins an unfortunate battle, as cartographers manipulate the boundaries for ...
• #### Matrix free methods for large scale optimization ﻿

Sequential quadratic optimization (SQP) methods are widely used to solve large-scale nonlinear optimization problems. We build two matrix-free methods for approximately solving exact penalty subproblems that arise when ...
• #### Non-interior path-following methods for complementarity problems ﻿

(1998)
Because of its excellent numerical performance, non-interior path following methods (also called smoothing methods) have become an important class of methods for solving complementarity problems. However, no rate of ...