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Now showing items 1-10 of 25

#### Regular basis and functor Ext

(Bilkent University, 1994)

This work is a study of the relation between the vanishing of Ext functor
and the existence of regular bases in the cartesian product and tensor product
of some special Kothe spaces. We give some new results concerning ...

#### Analytic and asymptotic properties of non-symmetric Linnik's probability densities

(Bilkent University, 1995)

We prove that the function
1
, a 6 (0 ,2 ), ^ e R,
1 +
is a characteristic function of a probability distribution if and only if
( a , 0 e P D = {{a,e) : a € (0,2), \d\ < m in (f^ , x - ^ ) (mod 27t)}.
This distribution ...

#### Non-stationary Markov chains

(Bilkent University, 1996)

In thi.s work, we studierl the Ergodicilv of Non-Stationary .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 sec|uence is an ...

#### Isomorphic classification problem and linear topological invariants

(Bilkent University, 1995)

We consider all possible isomorphisms of cartesian products of Dragilev
spaces, and thanks to relations between the Dragilev functions of each factor
try to show that if there exists such an isomorphism, then any factor ...

#### Boundary conditions compatible with the generalized symmetries

(Bilkent University, 1995)

In this work evolution type integrable equations and systems are considered.
An efficient method is given to construct their boundary conditions and
hence boundary value problems which are compatible with the ...

#### Conditions for uniqueness of limit Gibbs states

(Bilkent University, 1998)

In this work we studied the problem of phase transitions in one-dirnensional
models with unique ground state. A model ha\dng two spins, one ground state
and exhibiting phase transition is constructed.

#### On possible deterioration of smoothness under the operation of convolution

(Bilkent University, 1996)

We show that the convolution of two probability densities which are restrictions
to R of entire functions can possess infinite essential supremuin on
each interval. We also present several sufficient conditions of ...

#### 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 ...

#### Review of an approach to obstruction theory

(Bilkent University, 1994)

In this work, we summarized an approach to obstruction tlieory developed by
E. Thomas. We gave some illustrative examples to demonstrate the method.
These are : 2-plane fields on manifolds revi(iwing works of Thotnas, 3 ...

#### Aspects of Fibonacci numbers

(Bilkent University, 1994)

This thesis consists of two parts. The first part, which is Chapter 2, is
a survey on some aspects of Fibonacci numbers. In this part, we tried to
gather some interesting properties of these numbers and some topics related ...