## Search

Now showing items 1-10 of 43

#### 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 KG-modules are permutation modules. To ...

#### 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 non-singular hexagon spa.ces and modified some methods to evaluate
( ...

#### 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, ...

#### Ramanujan's congruences for the partition function

(Bilkent University, 2009)

In this thesis, we study Ramanujan’s congruences for the partition function and
some of their combinatorial interpretations. Our main tools are from the theory
of theta function.

#### On Gambler's ruin problem in some models

(Bilkent University, 2005)

2-player probability games is an important subject of probability theory. In this
thesis, we considered four different two-player probability games. We calculated
the expected value of stopping times of the games.
Since ...

#### Schlesinger transformations of second discrete painleve equation

(Bilkent University, 2004)

#### 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 n-space 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 ...

#### The Hirota direct method

(Bilkent University, 2005)

The search for integrability of nonlinear partial differential and difference equations
includes the study on multi-soliton solutions. One of the most famous
method to construct multi-soliton solutions is the Hirota ...