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...
Let A be a commutative Banach algebra with a BAI (=bounded approximate identity). We equip A** with the (first) Arens multiplication. To each idempotent element u of A** we associate the closed ideal I-u = {a is an element of A : au = 0} in A. In...
Categories of Graphs and Operations on Graphs
by
Kadriye Dilek Tefenlili
A Thesis Submitted to the
Graduate School of Sciences and Engineering
in Partial Fulfillment of the Requirements for
the Degree of
Master of Science
in
Mathematics
KocÂ¸...
We give two variational formulas (qVar1) and (qVar2) for the quenched free energy of a random walk in random potential (RWRP) when (i) the underlying walk is directed or undirected, (ii) the environment is stationary and ergodic, and (iii) the...
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...
We study one- and two-photon scattering from a qubit embedded in a one-dimensional waveguide in the presence of modal dispersion. We use a resolvent based analysis and utilize techniques borrowed from the Lee model studies. Modal dispersion leads...
Scheduling; Production scheduling; Machinery; Time management; Business planning; Operations research
Single Machine Scheduling with Timelag Constraints
by
G ul cin Ermi s
A Dissertation Submitted to the
Graduate School of Sciences and Engineering
in Partial Ful llment of the Requirements for
the Degree of
Doctor of Philosophy
in
Industrial...
We examine quantum statistics of optical photons emitted from atomic ensembles which are classically driven and simultaneously coupled to a two-level atom via microwave photon exchange. Quantum statistics and correlations are analyzed by...
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...
It is well known that non-renegotiable contracts with third parties may have an effect on the outcome of a strategic interaction and thus serve as a commitment device. We address this issue when contracts are renegotiable. More precisely, we...
We consider linear optimization problems over the cone of copositive matrices. Such conic optimization problems, called copositive programs, arise from the reformulation of a wide variety of difficult optimization problems. We propose a hierarchy...
A JOURNEY AROUND MORSE HOMOLOGIES
(Modern Approach)
by
Fatih C elik
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...
STABILITY ANALYSIS OF FITZHUGH-NAGUMO
EQUATIONS
By
Melike S rlanc T uys uzo glu
SUBMITTED IN PARTIAL FULFILLMENT OF THE
REQUIREMENTS FOR THE DEGREE OF
MASTER OF SCIENCE
AT
"KOC UNIVERSITY"
"RUMEL_IFENER_I, SARIYER, _ISTANBUL"
AUGUST 2, 2013
c...
In [4], it was shown that there exist infinitely many contact Seifert fibered 3-manifolds each of which admits infinitely many exotic (homeomorphic but pairwise non-diffeomorphic) simply-connected Stein fillings. Here we extend this result to a...
We propose a multilevel quantum heat engine with a working medium described by a generalized Rabi model which consists of a two-level system coupled to a single-mode bosonic field. The model is constructed to be a continuum limit of a quantum...
Levy Processes; Linearization; Stochastic Differential Equations; Stochastic Integrating Factors
We consider linearizing transformations of the one-dimensional nonlinear stochastic differential equations driven by Wiener and compound Poisson processes, namely finite activity Levy processes. We present linearizability criteria and derive the...
INVERSE PROBLEMS FOR SECOND ORDER PARABOLIC AND
HYPERBOLIC EQUATIONS
By
Nuri S ensoy
A Thesis Submitted to the
Graduate School of Science and Engineering
in Partial Ful llment of the Requirements for
the Degree of
Master of...
Investigations of Sol-Gel Parameters, Thermal and Optical Properties of Silica Aerogels for Large Scale Production
by
Metin KarayÄ±lan
A Thesis Submitted to the
Graduate School of Engineering
in Partial Fulfillment of the Requirements for
the Degree...
LOCAL CLASS FIELD THEORY VIA LUBIN-TATE
JALE DINLER
KOC UNIVERSITY
JULY 2013
Local Class Field Theory via Lubin-Tate
by
Jale Dinler
A Thesis Submitted to the
Graduate School of Sciences and Engineering
in Partial Fulfillment of the Requirements...
The dopamine clock hypothesis suggests that the dopamine level determines the speed of the hypothetical internal clock. However, dopaminergic function has also been implicated for motivation and thus the effect of dopaminergic manipulations on...