Now showing items 7-26 of 119

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

      Tosun, Kürşad (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 ...
    • Biset functors and brauer's induction theorem 

      Öğüt, İsmail Alperen (Bilkent University, 2014)
      We introduce two algebras on the endomorphism ring of the direct sum of character rings of groups from some collection. We prove the equality of these algebras to simplify a step in the proof of Brauer’s Induction Theorem. ...
    • Blocks of quotients of mackey algebras 

      Dar, Elif Doğan (Bilkent University, 2015)
      We review a theorem by Boltje and K¨ulshammer which states that under certain circumstances the endomorphism ring EndRG(RX) has only one block. We study the double Burnside ring, the Burnside ring and the transformations ...
    • Boundary conditions compatible with the generalized symmetries 

      Gürel, T Burak (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 ...
    • Canonical induction for trivial source rings 

      Büyükçolak, Yasemin (Bilkent University, 2013)
      We discuss the canonical induction formula for some special Mackey functors by following the construction of Boltje. These functors are the ordinary and modular character rings and the trivial source rings. Making use ...
    • Chain maps between Gruenberg resolutions 

      Fidan, Müge (Bilkent University, 2018-08)
      Let G be a finite group. For a given presentation of G = hF|Ri, Gruenberg gives a construction of a projective resolution for Z as a ZG-module. This resolution, which is called Gruenberg resolution, only depends on the ...
    • Characteristic bisets and local fusion subsystems 

      Tokmak, Mustafa Anıl (Bilkent University, 2018-09)
      Fusion systems are categories that contain the p-local structure of a finite group. Bisets are sets endowed with two coherent group actions. We investigate the relation between fusion systems and bisets in this thesis. Fusion ...
    • Classical Zariski pairs with nodes 

      Akyol, Ayşegül (Bilkent University, 2008)
      In this thesis we study complex projective sextic curves with simple singularities. All curves constituting classical Zariski pairs, especially those with nodes, are enumerated and classified up to equisingular deformation. ...
    • Cobordism calculations with Adams and James spectral sequences 

      Erdal, Mehmet Akif (Bilkent University, 2010)
      Let ξn : Z/p → U(n) be an n-dimensional faithful complex representation of Z/p and in : U(n)→O(2n) be inclusion for n ≥ 1. Then the compositions in ◦ ξn and jn ◦ in ◦ ξn induce fibrations on BZ/p where jn : O(2n) → O(2n ...
    • Cohomological dimension and cubic surfaces 

      Türkmen, İnan Utku (Bilkent University, 2004)
      In this thesis we give necessary and sufficient conditions for a curve C on a given cubic surface Q so that Q − C is affine. We use this to give a simpler proof of cd(P 3 − C) = 1 by using Budach’s method for these ...
    • Cohomology of semidirect products 

      Tekin, Ayşegül (Bilkent University, 2012)
    • Complete positivity in operator algebras 

      Kavruk, Ali Şamil (Bilkent University, 2006)
      In this thesis we survey positive and completely positive maps defined on operator systems. In Chapter 3 we study the properties of positive maps as well as construction of positive maps under certain conditions. In ...
    • Conditions for uniqueness of limit Gibbs states 

      Şahin, Mehmet Arafat (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.
    • Consistency in house allocation problems 

      Ergin, Haluk İ (Bilkent University, 1999)
    • Construction of modular forms with Poincaré series 

      Güneş, Çisem (Bilkent University, 2010)
      In this thesis, we construct holomorphic modular forms of integral weight k > 2 for the principle congruence subgroup Γ( ¯ N) by means of Poincar´e series. We start by providing the necessary background information on ...
    • Critical probabilities of percolation on graphs and random trees 

      Kaya, Merve (Bilkent University, 2014)
      We consider the model of independent percolation on various graphs and random trees. We investigate the critical probabilities of bond and site percolation on these graphs.
    • Curves in projective space 

      Yıldız, Ali (Bilkent University, 2003)
      This thesis is mainly concerned with classification of nonsingular projective space curves with an emphasis on the degree-genus pairs. In the first chapter, we present basic notions together with a very general notion ...
    • Dilation theorems for VH-spaces 

      Uğurcan, Barış Evren (Bilkent University, 2009)
      In the Appendix of the book Le¸cons d’analyse fonctionnelle by F. Riesz and B. Sz.-Nagy, B. Sz.-Nagy [15] proved an important theorem on operator valued positive definite maps on ∗-semigroups, which today can be considered ...
    • Existence of basis in some Whitney spaces 

      Keşir, Mustafa (Bilkent University, 2003)
      Existence of basis in locally convex spaces has been a hot subject in functional analysis for more than 40 years. We will give some partial solutions to this well-known problem. We will demonstrate two cases of Cantor-type ...