Browsing by Author "Liao, Ming"

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Algorithms for Optimal Energy Management in the Smart Grid

Wang, Yu (2015-07-02)

Smart grid (SG) is regarded as the next generation power grid, which implements an innovative idea for a highly automated and integrated power system. The two-way energy and information flows in the SG, together with the ...

Differential geometry on matrix groups

Gan, Luyining (2020-03-20)

In this dissertation, we study the differential geometry of the matrix groups. In literatures, many authors proposed to compute matrix means using the geodesic distance defined by an invariant Riemannian metrics on the ...

Generalization of Ky Fan-Amir-Moez-Horn-Mirsky's result on the eigenvalues and real singular values of a matrix

Yan, Wen (2005-12-15)

Ky Fan's result states that the real part of the eigenvalues of an n by n com- plex matrix A is majorized by the eigenvalues of the Hermitian part of A. The converse was established by Amir-Moez and Horn, and Mirsky, ...

Geometric means inequalities and their extensions to Lie groups

Ahsani, Sima (2018-12-05)

This dissertation has two main parts. 1. After reviewing the Riemannian structure of the space of n n positive de nite matrices, Pn, and the geometric mean in terms of geodesic, t-geometric mean, we present some ...

Group versus Staggered Replacement Policy-Strategic Replacement Decisons

Kim, Kyongsun (2008-08-15)

Replacement decisions are critical in most businesses, because assets are subject to deterioration or obsolescence with usage and time. In addition, technological improvement affects the replacement cycle of assets. In our ...

Hardy space associated with flag-type singular integrals of three parameters

Long, Yang (2020-07-21) ETD File Embargoed

The main purpose of this thesis is to establish a Hardy space theory associated with the flag-type singular integrals on Euclidean space. This theory is a continuation of those the classical one parameter, product setting ...

Palm Measure Invariance and Exchangeability for Marked Point Processes

Peng, Man (2008-12-15)

A random measure $\xi$ on a real interval $I$ is known to be exchangeable iff suitably reduced versions of the Palm distributions $Q_{t}$ are independent of $t \in I$. In this dissertation we prove a corresponding result ...

Power control, Neighbor Discovery, and Backup Scheme for Emerging Wireless Networks

Wang, Yu (2020-08-04)

With the booming wireless applications and services there has been a drastic increase in mobile data in recent years, as observed in several industrial white papers (e.g., Cisco Visual Network Index Report and Qualcomm’s ...

Products of positive definite symplectic matrices

Granario, Daryl Quebrar (2020-07-15)

We show that every symplectic matrix is a product of five positive definite symplectic matrices and five is the best in the sense that there are symplectic matrices which are not product of less.

Stochastic Differential Equations: A Dynamical Systems Approach

Hollingsworth, Blane (2008-05-15)

The relatively new subject of stochastic differential equations has increasing impor- tance in both theory and applications. The subject draws upon two main sources, prob- ability/stochastic processes and differential ...

Time Dependent Queuing Systems

Flick, Allen (2008-12-15)

Using elementary probability theory, we establish limiting probabilities for the queue length of a queuing system whose arrivals follow a nonhomogeneous Poisson process and are served by a single server whose services also ...

Toeplitz Matrices are Unitarily Similar to Symmetric Matrices

Liu, Jianzhen (2017-07-25)

We prove that Toeplitz matrices are unitarily similar to complex symmetric matrices. Moreover, two $n\times n$ unitary matrices that uniformly turn all $n\times n$ Toeplitz matrices via similarity to complex symmetric ...