Browsing Dept. of Mathematics  Master's degree by Title
Now showing items 5271 of 119

Kuroda's class number formula
(Bilkent University, 2007)In number theory theory, the class number of a field is a significant invariant. All over the time, people have come up with formulas for some cases and in this thesis I will discuss a proof of a class number formula for ... 
The lattice of periods of a group action and its topology
(Bilkent University, 2006)In this thesis, we study the topology of the poset obtained by removing the greatest and least elements of lattice of periods of a group action. For a Gset X where G is a finite group, the lattice of periods is defined ... 
Lebesgueradonnikodym decompositions for operator valued completely positice maps
(Bilkent University, 2014)We discuss the notion of RadonNikodym derivatives for operator valued completely positive maps on C*algebras, first introduced by Arveson [1969], and the notion of absolute continuity for completely positive maps, ... 
Limiting Gibbs measures in some one and two dimensional models
(Bilkent University, 2005)We give the definitions of finite volume Gibbs measure and limit Gibbs states. In one dimensional Ising model with arbitrary boundary conditions we calculate correlation functions in explicit way. In one dimension, ... 
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. 
The linear mean value of the remainder term in the problem of asymptotic behaviour of eigenfunctions of the automorphic Laplacian
(Bilkent University, 1996)The purpose of this thesis is to obtain the estimate for the average mean value of the remainder term of the asymptotic formula for the quadratic mean value of the Fourier coefficients of the eigenfunctions over the ... 
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 ... 
Logarithmic dimension and bases in whitney spaces
(Bilkent University, 2006)In generalization of [3] we will give the formula for the logarithmic dimension of any Cantortype set. We will demonstrate some applications of the logarithmic dimension in Potential Theory. We will construct a polynomial ... 
Lζ modules and a theorem of Jon Carlson
(Bilkent University, 2004)In this thesis, we study Lζ modules, and using some exact sequences involving Lζ modules, we give an alternative proof to a theorem by Jon Carlson which says that any ZGmodule is a direct summand of a module which has ... 
Mackey group categories and their simple functors
(Bilkent University, 2012)Constructing the Mackey group category M using axioms which are reminiscent of fusion systems, the simple RMfunctors (the simple functors from the Rlinear extension of M to Rmodules, where R is a commutative ring) can ... 
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 ... 
A measure disintegration approach to spectral multiplicity for normal operators
(Bilkent University, 2012)In this thesis we studied the notion of direct integral Hilbert spaces, first introduced by J. von Neumann, and the closely related notion of decomposable operators, as defined in Kadison and Ringrose [1997] and Abrahamse ... 
Minimal surfaces on threedimensional Walker manifolds
(Bilkent University, 201706)Lorentzian Geometry has shown to be very useful in a wide range of studies including many diverse research elds, especially in the theory of general relativity and mathematical cosmology. A Walker manifold descends from ... 
Modular representations and monomial burnside rings
(Bilkent University, 2004)We introduce canonical induction formulae for some character rings of a finite group, some of which follows from the formula for the complex character ring constructed by Boltje. The rings we will investigate are the ... 
The MongeKantorovich mass transportation problem
(Bilkent University, 201709)The Monge mass transportation problem was stated by French Mathematician, G. Monge [6]. After that Soviet Mathematician Leonid Kantorovich [4] published a relaxed version of the problem, namely the MongeKantorovich ... 
The monomial Burnside functor
(Bilkent University, 2009)Given a finite group G, we can realize the permutation modules by the linearization map defined from the Burnside ring B(G) to the character ring of G, denoted AK(G). But not all KGmodules are permutation modules. To ... 
Monomial Gotzmann sets
(Bilkent University, 2011)A homogeneous set of monomials in a quotient of the polynomial ring S := F[x1, . . . , xn] is called Gotzmann if the size of this set grows minimally when multiplied with the variables. We note that Gotzmann sets in the ... 
Ntangle Kanenobu knots with the same Jones polynomials
(Bilkent University, 2010)It is still an open question if there exists a nontrivial knot whose Jones polynomial is trivial. One way of attacking this problem is to develop a mutation on knots which keeps the Jones polynomial unchanged yet alters ... 
Nonstationary Markov chains
(Bilkent University, 1996)In thi.s work, we studierl the Ergodicilv of NonStationary .Markov chains. We gave several e.xainples with different cases. We proved that given a sec[uence of Markov chains such that the limit of this secuence is an ... 
Numerical study of orthogonal polynomials for fractal measures
(Bilkent University, 201607)In recent years, potential theory has an essential effect on approximation theory and orthogonal polynomials. Basic concepts of the modern theory of general orthogonal polynomials are described in terms of Potential Theory. ...