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...
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...
Basics of Symplectic Manifolds
by
Karatu g Ozan Bircan
A Thesis Submitted to the
Graduate School of Science and Engineering
in Partial Ful llment of the Requirements for
the Degree of
Master of Science
in
Mathematics
Ko c University
July, 2014
Ko c...
Resolvable Uniform Cycle Systems in Complete Graphs
by
OË˜guz DoË˜gan
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
KoÂ¸c...
Queuing theory; Waiting line problems; Operations research
QUALITY CONSCIOUS STRATEGIC CUSTOMERS IN
QUEUEING TYPE SERVICE SYSTEMS
by
G orkem Sar yer Ataman
A Thesis Submitted to the
Graduate School of Engineering
in Partial Ful llment of the Requirements for
the Degree of
Doctor of Philosophy
in
Industrial...
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 opportunity and willingness framework has received much attention in research on interstate conflict expansion. This framework is extended here by examining when and what side third parties join during ongoing conflicts. It is maintained that...
Optimal Resource Allocation for Delay and Energy
Constrained Wireless Networks
A thesis submitted in ful lment of the requirements for the
degree of
PhD in Electrical and Electronics Engineering
Koc University, November 2015
Yal c n S adi
Graduate...
Let k be a field of characteristic zero, and let k[epsilon](n) :=k[epsilon]/(epsilon(n)). We construct an additive dilogarithm Li(2,n) : B(2) (k[epsilon](n))-> k(circle plus(n-1)), where B(2) is the Bloch group which is crucial in studying weight...
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...
Management information systems; Information storage and retrieval systems
INFORMATION AGGREGATION AND THE ORDER OF SPEECH IN DEBATES
by
Fatih DemirbaÂ¸s
A thesis submitted to the
Graduate School of Social Sciences and Humanities
in partial fulfillment for the
degree of
Master of Arts
in
Economics
August 2013
Department of...
Motivated by the spare parts distribution system of a major automotive manufacturer in Turkey, we consider a multicommodity distribution problem from a central depot to a number of geographically dispersed demand points. The distribution of the...
Computer science; Hardware and architecture; Information systems; Telecommunications
Fairly exchanging digital content is an everyday problem. It has been shown that fair exchange cannot be achieved without a trusted third party (called the Arbiter). Yet, even with a trusted party, it is still non-trivial to come up with an...
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...
Automation & Control Systems; Computer Science, Artificial Intelligence
We use a geometric digraph family called class cover catch digraphs (CCCDs) to tackle the class imbalance problem in statistical classification. CCCDs provide graph theoretic solutions to the class cover problem and have been employed in...
The interaction between coherent whistler mode waves and energetic radiation belt electrons can result in pitch angle scattering of electrons into the bounce loss cone and subsequent precipitation. In studying the effects of VLF transmitter signals...
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...
Management; Operations Research & Management Science
In this study we present a planning methodology for a firm whose objective is to match the random supply of annual premium fruits and vegetables from a number of contracted farms and the random demand from the retailers during the planning period....
Let MM be a compact, orientable, mean convex 33-manifold with boundary ?M?M. We show that the set of all simple closed curves in ?M?M which bound unique area minimizing disks in MM is dense in the space of simple closed curves in ?M?M which are...