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...
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...
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...
A Probabilistic Investigation of k Nearest Neighbor
Directed Graphs
by
Selim Bahad r
A Dissertation Submitted to the
Graduate School of Sciences and Engineering
in Partial Ful llment of the Requirements for
the Degree of
Doctor 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...
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...
A defining set of a t-(v, k, lambda) design is a subcollection of its blocks which is contained in a unique t-design with the given parameters. A minimal defining set is a defining set, none of whose proper subcollections is a defining set. The...
We introduce a random walk in random environment associated to an underlying directed polymer model in 1 + 1 dimensions. This walk is the positive temperature counterpart of the competition interface of percolation and arises as the limit of...
A flower, F-s(x), around a point x in a Steiner triple system D = (V, B) is the set of all triples in B which contain the point x, namely F-D(X)={b is an element of B vertical bar x is an element of b}. This paper determines the possible number of...
On Extended Selmer Groups for Coleman
Deformations
by
Enis Kaya
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
Mathematics
August 14,...
Long-Time Behaviour of Solutions to Phase Field Equations
by
Jandos Jayikbaev
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...
We outline a general perturbative method of evaluating scattering features of finite-range complex potentials and use it to examine complex perturbations of a rectangular barrier potential. In optics, these correspond to modulated refractive index...
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...
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...
We show that in one dimension the transfer matrix M of any scattering potential v coincides with the S matrix of an associated time-dependent non-Hermitian 2 x 2 matrix Hamiltonian H(tau). If v is real valued, H(tau) is pseudo-Hermitian and its...
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¸...
Risk Hedging in Revenue Management Models with a Mean-Variance
Approach
by
G ulce SARI
A Thesis Submitted to the
Graduate School of Engineering
in Partial Ful llment of the Requirements for
the Degree of
Master of Science
in
Industrial...
Assortative Matching Under Information
Asymmetry with Search Frictions
by
Hakan Ozy lmaz
A thesis submitted to the
Graduate School of Social Sciences and Humanities
in Partial Ful llment of the Requirements for
the Degree of
Master of...
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...
Decision making -- Mathematical models; Risk; Investments; Portfolio management
Portfolio Selection with Prospect Models
by
Abdullah TAÂ¸SKINCAN
A Thesis Submitted to the
Graduate School of Sciences and Engineering
in Partial FulÂ…llment of the Requirements for
the Degree of
Master of Science
in
Industrial Engineering
KoÃ§...