Search results | J. Murrey Atkins Library

Title: A Random Hierarchical Laplacian
Author: Ray, Elijah
Date Created: 2013
Subjects--Topical: Mathematics
Description: The Hierarchical Laplacian, proposed in Dyson's theory of one-dimensional ferromagnetic phase transitions, has a discrete spectrum with each isolated eigenvalue having infinite multiplicity. As a result, the integrated density of states is piecewi...

Title: Asymptotic Normality of Entropy Estimators
Author: Zhang, Xing
Date Created: 2013
Subjects--Topical: Mathematics
Description: Shannon's entropy plays a central role in many fields of mathematics. In the first chapter, we present a sufficient condition for the asymptotic normality of the plug-in estimator of Shannon's entropy defined on a countable alphabet. The sufficien...

Title: Binary Edwards Curves in Elliptic Curve Cryptography
Author: Enos, Graham
Date Created: 2013
Subjects--Topical: Mathematics
Description: Edwards curves are a new normal form for elliptic curves that exhibit some cryptographically desirable properties and advantages over the typical Weierstrass form. Because the group law on an Edwards curve (normal, twisted, or binary) is complete ...

Title: GENERALIZED QUASI-LIKELIHOOD RATIO TESTS FOR VARYING COEFFICIENT QUANTILE REGRESSION MODELS
Author: Wang, Yonggang
Date Created: 2013
Subjects--Topical: Statistics
Description: Quantile regression models which can track the relationship of predictive variables and the response variable in specific quantiles are especially useful in applications when extreme quantiles instead of the center of the distribution are interest...

Title: ISOGEOMETRIC ANALYSIS AND PATCHWISE REPRODUCING POLYNOMIAL PARTICLE METHOD FOR PLATES
Author: Kim, Hyunju
Date Created: 2013
Subjects--Topical: Mechanical engineering, Mathematics
Description: Isogeometric analysis (IGA) is a framework bridging the gap between Computer Aided Design (CAD) and Finite Element Analysis (FEA). So it drastically reduces the error in the representation of the computational domain and the re-meshing by the use ...

Title: Modeling Vector Time Series Data
Author: Liu, Yi
Date Created: 2013
Subjects--Topical: Statistics
Description: ABSTRACTIn this dissertation, firstly, I study spatial quantile regression estimation of multivariate threshold time series models. Asymptotic normality of the proposed spatial quantile regression estimator is established. Simulations and a real e...

Title: On the Structure and Invariants of Cubical Complexes
Author: Birdsong, Sarah
Date Created: 2013
Subjects--Topical: Mathematics
Description: This dissertation introduces two new results for cubical complexes. The first is a simple statistic on noncrossing partitions that expresses each coordinate of the toric h-vector of a cubical complex, written in the basis of the Adin h-vector entr...

Title: THE ASYMPTOTIC APPROXIMATION OF THE TRANSITION PROBABILITY FOR THE RANDOM WALKS WITH HEAVY TAILS.
Author: Agbor, Andu
Date Created: 2013
Subjects--Topical: Statistics, Mathematics
Description: The main result of this dissertation concerns the asymptotics, uniform in t and x, of the probability distribution of a random walk with heavy tails. The random walk is a Markov process and thus can be characterized in terms of their generators. W...

Title: The center and cyclicity problems in a family of three dimensional polynomial systems of ordinary differential equations.
Author: Hounkanli, Kokouvi
Date Created: 2013
Subjects--Topical: Mathematics
Description: This dissertation is mainly a study of the center problem in the context of a family of three dimensional systems of ordinary differential equations of the form· {u} = &minus v + P(u,v,w), · {v} = u+Q(u,v,w), · {w}=&minus &lambda...