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Now showing items 1-10 of 16

### Intermittency properties of space-time fractional stochastic partial differential equations

(2019-07-11)

This dissertation focuses on the analyses of the non-linear time-fractional stochastic reaction-diffusion equations of the type
\begin{equation}\label{abstract-eq}
\partial^\beta_tu_t(x)=-\nu(-\Delta)^{\alpha/2} ...

### Interior Backus Problem with Expanded Data

(2019-12-09)

We consider a special formulation of the Backus geomagnetic problem in two and higher dimension. Given a domain $\Omega \subset \mathbb{R}^n$, we seek to determine whether there exists a unique harmonic function $u$ ...

### Rank Based Group Variable Selection for Functional Linear Model

(2019-12-09)

We propose a robust rank based variable selection method for a functional linear regression model with multiple explanatory functions and a scalar response. The procedure extends rank based group variable selection to ...

### A Property of GO-Topologies on the Reals

(2019-04-04)

In 1981 Peter de Caux proved that finite powers of the Sorgenfrey line are hereditarily D-spaces. In this paper we build on de Caux's technique to show that any subspace of a finite power of the reals with a generalized ...

### Hamilton Cycles In Multipartite Graphs With Two Associative Classes

(2019-04-17)

In this dissertation, the following two problems are considered: the embedding problem of when a k-edge-coloring of a multipartite graph G can be embedded into a Hamilton decomposition of multipartite graph H containing ...

### Probabilistic schemes for semi-linear nonlocal diffusion equations with application in predicting runaway electron dynamics

(2019-12-05)

In this work, we focus on developing and analyzing novel probabilistic numerical approaches for solving several types of semi-linear nonlocal diffusion equations in both unbounded and bounded high dimensional spaces. First, ...

### On The Number of Cylinders Touching a Sphere

(2019-06-14)

The kissing number problem is a packing problem in geometry where one has to fi nd
the maximum number of congruent non-overlapping copies of a given body so that they can
be arranged each touching a common copy.
The ...

### Dynamics of Chemotaxis Models in Heterogeneous Environments

(2019-06-07)

Chemotaxis describes the oriented movements of biological cells or organisms in response to chemical gradients in their environments and is crucial for many aspects of behaviour such as the location of food sources, ...

### An Analysis of Item Response Theory

(2019-07-02)

This paper examines a field of psychological and educational measurement testing theory
called Item Response Theory. The paper delves into the basics of the theory, its theoretical
and statistical background, and discusses ...

### Existence of TP(d,k,n)

(2019-04-24)

Given a square grid of land, which has n rows and n columns. It is required to plant trees on the land so that there are k trees in every row and column and there is at most 1 tree in any small square part of the land with ...