We construct the most general physically admissible positive-definite inner product on the space of Proca fields. Up to a trivial scaling this defines a five-parameter family of Lorentz invariant inner products that we use to construct a genuine...
In this paper, we give several results on area minimizing surfaces in strictly mean convex 3-manifolds. First, we study the genus of absolutely area minimizing surfaces in a compact, orientable, strictly mean convex 3-manifold M bounded by a simple...
Skeleton Decomposition, Conditional Speed of
Branching Brownian Motion, and Application to
Random Obstacles
by
Mehmet Ã–z
Thesis submitted to the
Graduate School of Sciences and Engineering
in Partial Fulfillment of the Requirements for
the Degree...
The necessary and sufficient conditions for the exactness of the semiclassical approximation for the solution of the Schrodinger and Klein-Gordon equations are obtained, It is shown that the existence of an exact semiclassical solution of the...
We have obtained exact results for the Ising model on a hierarchical lattice incorporating three key features characterizing many real-world networks-a scale-free degree distribution, a high clustering coefficient, and the small-world effect. By...
We explore the trap profiles of a two-dimensional atomic Fermi gas in the presence of a Rashba spin-orbit coupling and under an adiabatic rotation. We first consider a noninteracting gas and show that the competition between the effects of Rashba...
We study the optimal auction problem with participation costs in the symmetric independent private values setting, where bidders know their valuations when they make independent participation decisions. After characterizing the optimal auction in...
Signal processing -- Digital techniques; Image processing -- Digital techniques
Compressed Training Adaptive Equalization
by
Baki Berkay Y lmaz
A Thesis Submitted to the
Graduate School of Engineering
in Partial Ful llment of the Requirements for
the Degree of
Master of Science
in
Electrical & Electronics Engineering
Ko c...
AN ALGORITHMIC FRAMEWORK FOR
INSTANTANEOUS AND CONVOLUTIVE BOUNDED
COMPONENT ANALYSIS
by
H useyin Atahan _Inan
A Thesis Submitted to the
Graduate School of Engineering
in Partial Ful llment of the Requirements for
the Degree of
Master of...
Quantum Mechanics of a Single Photon
by
Hassan Babaei
A Dissertation Submitted to the
Graduate School of Sciences and Engineering
in Partial Ful llment of the Requirements for
the Degree of
Master of Science
in
Physics
January 22, 2016
Quantum...
KOC UNIVERSITY
On the stability and instability of
nonlinear damped wave equations
by
Bilgesu Arif Bilgin
A thesis submitted in partial ful llment for the
degree of Doctor of Philosophy
in the
College of Sciences
Department of Mathematics
August...
In this article, we study the p-ordinary Iwasawa theory of the (conjectural) Rubinâ€“Stark elements defined over abelian extensions of a CM field F and develop a rank-g Eulerâ€“Kolyvagin system machinery (where Graphic), refining and generalizing...
We investigate scaling of work and efficiency of a photonic Carnot engine with a number of quantum coherent resources. Specifically, we consider a generalization of the "phaseonium fuel" for the photonic Carnot engine, which was first introduced as...
The denaturation transition which takes place in circular DNA is analyzed by extending the Poland-Scheraga (PS) model to include the winding degrees of freedom. We consider the case of a homopolymer whereby the winding number of the double-stranded...
COHERENT ORGANIZATION IN GENE REGULATORY
NETWORKS
by
NES E ARAL
A Thesis Submitted to the
Graduate School of Sciences and Engineering
in Partial Ful llment of the Requirements for
the Degree of
Doctor of Science
in
Physics
Ko c...
We study the interplay between the Hofstadter butterfly, strong interactions, and the Zeeman field within the mean-field Bogoliubov-de Gennes theory in real space, and explore the ground states of the attractive single-band Hofstadter-Hubbard...
We give the definition and explore the algebraic structure of a class of quantum symmetries, called topological symmetries, which are generalizations of supersymmetry in the sense that they involve topological invariants similar to the Witten...
For each positive integer Q, let F(Q) denote the Farey sequence of order Q. We prove the existence of the pair correlation measure associated to the sum F(Q) + F(Q) modulo 1, as Q tends to infinity, and compute the corresponding limiting pair...
STARK'S CONJECTURES
and
HILBERT'S TWELFTH PROBLEM
by
P nar K l cer
A Thesis Submitted to the
Graduate School of Sciences and Engineering
in Partial Ful llment of the Requirements for
the Degree of Master of Science
in Mathematics
Ko c...
In one dimension, one can dissect a scattering potential v(x) into pieces v(i)(x) and use the notion of the transfer matrix to determine the scattering content of v(x) from that of v(i)(x). This observation has numerous practical applications in...