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Now showing items 1-10 of 19

#### Essential cohomology and relative cohomology of finite groups

(Bilkent University, 2009)

In this thesis, we study mod-p essential cohomology of finite p-groups. One
of the most important problems on essential cohomology of finite p-groups is
finding a group theoretic characterization of p-groups whose essential ...

#### Gibbs measures and phase transitions in one-dimensional models

(Bilkent University, 2000)

In this thesis we study the problem of limit Gibbs measures in one-dimensional
models. VVe investigate uniqueness conditions for the limit Gibbs measures for
one-dimensional models. VVe construct a one-dimensional model ...

#### Characteristic lie algebra and classification of semi-discrete models

(Bilkent University, 2009)

In this thesis, we studied a differential-difference equation of the following form
tx(n + 1, x) = f(t(n, x), t(n + 1, x), tx(n, x)), (1)
where the unknown t = t(n, x) is a function of two independent variables: discrete
n ...

#### Extension operators for spaces of infinitely differentiable functions

(Bilkent University, 2005)

We start with a review of known linear continuous extension operators for the
spaces of Whitney functions. The most general approach belongs to PawÃlucki and
Ple´sniak. Their operator is continuous provided that the ...

#### Complete intersection monomial curves and non-decreasing Hilbert functions

(Bilkent University, 2008)

In this thesis, we first study the problem of determining set theoretic complete
intersection (s.t.c.i.) projective monomial curves. We are also interested in finding
the equations of the hypersurfaces on which the ...

#### A correspondence of simple alcahestic group functors

(Bilkent University, 2008)

Representation theory of finite groups associates two classical constructions
to a group G, namely the representation ring of G and the Burnside ring of G.
These rings share a special structure that comes from three ...

#### The Pauli principe, representation theory, and geometry of flag varieties

(Bilkent University, 2008)

According to the Pauli exclusion principle, discovered in 1925, no two identical
electrons may occupy the same quantum state. In terms of electron density matrix
this amounts to an upper bound for its eigenvalues by 1. ...

#### Random codes and matrices

(Bilkent University, 2009)

Results of our study are two fold. From the code theoretical point of view our
study yields the expectations and the covariances of the coefficients of the weight
enumerator of a random code. Particularly interesting is ...

#### Recursion operator and dispersionless Lax representation

(Bilkent University, 2002)

We give a general method for constructing recursion operators for some equations
of hydrodynamic type, admitting a dispersionless Lax representation. We
consider a polynomial and rational Lax function. We give several ...

#### On sections and tails of power series

(Bilkent University, 2002)

The thesis is devoted to the study of connections between properties of a power
series and properties of its sections and tails.
Power series having sections or tails with multiply positive coefficients are
considered ...