Browsing Dept. of Mathematics  Master's degree by Issue Date
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Conditions for uniqueness of limit Gibbs states
(Bilkent University, 1998)In this work we studied the problem of phase transitions in onedirnensional models with unique ground state. A model ha\dng two spins, one ground state and exhibiting phase transition is constructed. 
Algebro geometric methods in coding theory
(Bilkent University, 1999)In this work, we studied a class of codes that, as a subspace, satisfy a certain condition for (semi)stability. We obtained the Poincare polynomial of the nonsingular projective variety which is formed by the equivalence ... 
Weingarten surfaces arising from soliton theory
(Bilkent University, 1999)In this work we presented a method for constructing surfaces in associated with the symmetries of GaussMainardiCodazzi equations. We show that among these surfaces the sphere has a unique role. Under constant gauge ... 
Factorization in Hardy and Nevanlinna classes
(Bilkent University, 1999)We find conditions under which the factors of a function belonging to Hardy or Nevanlinna class also belong to the corresponding class. The basis of our method is the theorem on the representation of a function harmonic ... 
Consistency in house allocation problems
(Bilkent University, 1999) 
Symplectic geometry and topology of spatial polygons in Euclidean and Minkowski spaces
(Bilkent University, 2000)In this work, we studied the relations between spatial polygons in Euclidean spaces and point configurations in projective line P'. We classi (i('d all nonsingular hexagon spa.ces and modified some methods to evaluate ( ... 
Riemann boundary value problem
(Bilkent University, 2000) 
On lower degree bounds for vector invariants over finite fields
(Bilkent University, 2000)The purpose of this thesis is to obtain a lower degree bound in modular invariant theory for a special case. More precisely, let G be any group and k be a finite field of positive characteristic p such that p divides G ... 
Geometric characterization of extension property for model compact sets
(Bilkent University, 2000) 
The distance between maximum modulus points and the zero set of an entire function
(Bilkent University, 2001) 
Management skills training needs analysis of company and battalion commanders in the Turkish army
(Bilkent University, 2001)The Turkish Army like other organizations tries to keep up with the change in all areas and uses some methods of change. One of the areas is management and the method of change used by The Army is training and development ... 
Limiting Gibbs measures of some models of classical statistical mechanics
(Bilkent University, 2002)We consider some models of classical statistical mechanics with their random perturbations and investigate the phase diagrams of this models. By using uniqueness theorem we prove the absence of phase transitions in this models. 
On the minimal number of elements generating an algebraic set
(Bilkent University, 2002)In this thesis we present studies on the general problem of finding the minimal number of elements generating an algebraic set in nspace both set and ideal theoretically. 
Geometry and matrix spectral problems
(Bilkent University, 2002)The aim of this thesis is to give a survey and applications of some recent work of Klyachko, Knutson and Tao that characterizes eigenvalues of sum of Hermitian matrices and decomposition of tensor products of representations of ... 
On the exponential map of the Burnside ring
(Bilkent University, 2002)We study the exponential map of the Burnside ring. We prove the equivalence of the three different characterizations of this map and examine the surjectivity in order to describe the elements of the unit group of the ... 
On complete intersections and connectedness
(Bilkent University, 2002)In this thesis, we study the relation between connectedness and complete intersections. We describe the concept of connectedness in codimension k. We also study the basic facts about CohenMacaulay rings, and give ... 
Linear topological structure of spaces of Whitney functions defined on sequences of points
(Bilkent University, 2002)In this work we consider the spaces of Whitney functions defined on convergent sequences of points.By means of linear topological invariants we analyze linear topological structure of these spaces .Using diametral dimension ... 
On power series with one singular point at circumference of convergence
(Bilkent University, 2002)We obtain two refinements of Faber’s theorem related to power series with one singular point at circumference of convergence. The first one characterizes growth at the singular point in more precise scale of growth. The ... 
On monomial Burnside rings
(Bilkent University, 2003)This thesis is concerned with some different aspects of the monomial Burnside rings, including an extensive, self contained introduction of the A−fibred G−sets, and the monomial Burnside rings. However, this work has two ... 
On the monodromy groups of real Enriques surfaces
(Bilkent University, 2003)In this thesis we start the study of the fundamental group of the moduli space of real Enriques surfaces. The principal result is the assertion that, with one exception, any permutation of components of the half E (2) R of ...