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Now showing items 1-10 of 19

#### Inductions, restrictions, evaluations, and sunfunctors of Mackey functors

(Bilkent University, 2008)

#### 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. ...

#### Solution surfaces and surfaces from a variotional principle

(Bilkent University, 2007)

In this thesis, we construct 2-surfaces in R
3 and in three dimensional Minkowski
space (M3). First, we study the surfaces arising from modified Korteweg-de Vries
(mKdV), Sine-Gordon (SG), and nonlinear Schr¨odinger ...

#### 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 ...

#### Painleve test and the Painleve equations hierarchies

(Bilkent University, 2001)

Recently there has been a considerable interest in obtaining higher order ordinary
differential equations having the Painleve property. In this thesis, starting
from the first, the second and the third Painleve transcendents ...

#### 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 ...

#### Integrable systems on regular time scales

(Bilkent University, 2009)

We present two approaches to unify the integrable systems. Both approaches are
based on the classical R-matrix formalism. The first approach proceeds from the
construction of (1 + 1)-dimensional integrable ∆-differential ...

#### 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 ...

#### 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 ...

#### 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 ...