Browsing Dept. of Mathematics  Master's degree by Title
Now showing items 112119 of 119

Unified approach to transformations of Painleve equations
(Bilkent University, 1993)In this thesis, we iind the explicit form of some transformations associated with the second, third, fourth and fifth Painleve equations. These transformations are obtained by using the Schlesinger transformations associated ... 
Weingarten surfaces arising from soliton theory
(Bilkent University, 1999)In this work we presented a method for constructing surfaces in associated with the symmetries of GaussMainardiCodazzi equations. We show that among these surfaces the sphere has a unique role. Under constant gauge ... 
Which algebraic K3 surfaces cover an enriques surface
(Bilkent University, 201809)We partially determine the necessary and su cient conditions on the entries of the intersection matrix of the transcendental lattice of algebraic K3 surface with Picard number 18 (X) 19 for the surface to doubly ... 
Which algebraic K3 surfaces doubly cover an enriques surface: a computational approach
(Bilkent University, 201902)The relationship between K3 Surfaces and Enriques Surfaces is known to mathematicians for the last 30 years. We examined this relationship from a lattice theoretical point of view by looking at transcendental lattice of ... 
Widom Factors
(Bilkent University, 2014)In this thesis we recall classical results on Chebyshev polynomials and logarithmic capacity. Given a nonpolar compact set K, we define the nth Widom factor Wn(K) as the ratio of the supnorm of the nth Chebyshev ... 
Wiener disorder problem with observation control
(Bilkent University, 2012)Suppose that a Wiener process gains a known drift rate at some unobservable disorder time with some zeromodified exponential distribution. The process is observed only at some intervals that we control. Beginning and ... 
Zero curvature and Gel'fandDikii formalisms
(Bilkent University, 2004)In soliton theory, integrable nonlinear partial differential equations play an important role. In that respect such differential equations create great interest in many research areas. There are several ways to obtain ... 
Zero sets of analytic function spaces on the unit disk
(Bilkent University, 201807)We survey some known results on the zero sets of two families of analytic function spaces and another single space de ned on the unit disk in the complex plane. We investigate mostly the basic properties of the zero sets ...