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Now showing items 1-10 of 124

#### Analysis on self-similar sets

(Bilkent University, 2020-08)

Self-similar sets are one class of fractals that are invariant under geometric similarities. In this thesis, we study on self-similar sets. We give the deﬁnition of a self-similar set K and present the proof the existence ...

#### Constructions and simplicity of the Mathieu groups

(Bilkent University, 2020-09)

Of the 26 sporadic finite simple groups, 5 were discovered by E. Mathieu in 1861
and 1873 [1], [2]. These Mathieu groups are the focus of this thesis, where we will
prove their simplicity using elementary methods. E. ...

#### Lebesgue constants on cantor type sets

(Bilkent University, 2020-09)

The properties of compact subsets of the real line which are in the class of
Bounded Lebesgue Constants (BLC) are investigated. Knowing that any such
set must have 1-dimensional Lebesgue measure zero and nowhere density, ...

#### Riemann boundary value problem

(Bilkent University, 2000)

#### On the Nẹ́ron-severi lattice of Delsarte surfaces

(Bilkent University, 2016-10)

The Nẹ́ron-Severi group, NS(X), of a given (non-singular projective) variety, X, is defined in only algebro-geometric terms, however it is also known to be an arithmetic invariant. So it is an important study that helps ...

#### Free actions on CW-complexes and varieties of square zero matrices

(Bilkent University, 2011)

Gunnar Carlsson stated a conjecture which gives a lower bound on the rank of a
differential graded module over a polynomial ring with coefficients in algebraically
closed field k when it has a finite dimensional homology ...

#### Bâcklund transformations of Painleve equations and discrete equations of Painleve type

(Bilkent University, 2004)

With the help of the Schlesinger transformations, we obtain the B¨acklund
transformations of the classical continuous Painlev´e equations (PII-PVI). Then
using these B¨acklund transformations we derived the corresponding ...

#### Real monomial Burnside rings and a decomposition of the the tom Dieck map

(Bilkent University, 2009)

This thesis is mainly concerned with a decomposition of the reduced tom
Dieck map die : f A(RG) → B(G)
× into two maps die+
and die−
of the real
monomial Burnside ring. The key idea is to introduce a real Lefschetz ...

#### Applications of duality for Hp spaces

(Bilkent University, 2006)

#### Schubert calculus, adjoint representation and moment polytopes

(Bilkent University, 2012)

Let Hν denote the irreducible representation of the special unitary group SU(n)
corresponding to Young diagram ν and let g = su(n) denote the Lie algebra
of SU(n). One can show that Hν appears in the symmetric algebra ...