Fen Bilimleri Enstitüsü: Recent submissions

  • Szemeredi's regularity teorem; from an analytic point of view 
    Bilir, Levent. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2010., 2010.)
    The aim of this thesis is to study Szemeredi’s Regularity Lemma from an analytical point of view. We are going to explain how one can interpret the so-called Szemeredi’s Regularity Lemma in the language of analysis. By ...
  • Bernstein center for GL(n, Qp) 
    Seviniş, Mert. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2010., 2010.)
    In this thesis we will present J. N. Bernstein's description of the centre of the category of smooth modules over l-groups for the case of GL(n;Qp). Firstly we decompose this category into two parts: quasi-cuspidal and ...
  • A study on the Kadison-Singer problem 
    Arslan, İlker. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2010., 2010.)
    Let H be a separable Hilbert space and B(H) be the space of all bounded linear operators on H. A state of a C -algebra is a positive linear functional of norm 1. An extreme point of the set of states is called a pure state. ...
  • Indices of orbits in contact homology 
    Gören, Yusuf. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2010., 2010.)
    In this thesis, we investigate the basics of the contact homology including the grading of periodic orbits and pseudoholomorphic curves. We also present the alternative approach to the subject by F. Bourgeois [1] and present ...
  • Further regularity of solutions for almost cubic NLS equation 
    Demirbaş, Seçkin. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2010., 2010.)
    This thesis consists of two major parts. In the rst one, we try to give the preliminary local well-posedness results for the ACNLS, and L2 -H1 regularity result which is an easy and straightforward consequence of the ...
  • On the integrability of the generalized Davey-Stewartson system 
    Çolak, İlker Evrim. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)
    A method developed by V. E. Zakharov and E. I. Shul'man for understanding the integrable cases of a given system of di erential equations having some certain Hamiltonian structure is represented. Then an application of ...
  • Some mean values related to Dirichlet L-functions 
    Kaptan, Deniz Ali. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)
    In this work, mean values of derivatives of the Riemann zeta-function and Dirichlet L-functions at the zeros of Dirichlet L-functions have been computed.
  • Classical and modern treatments of Riemann zeta function 
    Güngör, Murat. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)
    Tate’s doctoral thesis, Fourier Analysis in Number Fields and Hecke’s Zeta- Functions, on the analytic properties of the class of L-functions introduced by Erich Hecke, is one of the relatively few such dissertations that ...
  • Some mean value problems about Dirichlet L-functions and the Riemann zeta-function 
    Karabulut, Yunus. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)
    The average values of higher derivatives of the Riemann zeta-function and Dirichlet L-functions over a set of special points, speci cally the set of nontrivial zeta zeros, are important tools to understand the distribution ...
  • On minimal defining sets of full designs 
    Demirkale, Fatih. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)
    A defining set of a t-(v; k; ̧) design is a subset of the block set of the design which is not contained in any other design with the same parameters. A defining set is said to be minimal if none of its proper subsets is ...
  • On special solutions of Zakharov-Schulman equations 
    Bilman, Deniz. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)
    In this work, two types of special solutions for Zakharov–Schulman equations are studied. Existence of standing wave solutions are established by utilizing variational methods. First set conditions on the operators for the ...
  • An application of ergodic theory to Szemerédi's theorem 
    Vurgun, Demet. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)
    In this thesis, Szemerédi's theorem has been translated into the ergodic problem. For this purpose, ergodic theory and its tools has been studied. The ergodic version of the theorem is equivalent to Furstenberg Multiple ...
  • An application of ergodic theory to Geometric Ramsey theory 
    Şimşek, Sevim. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)
    In this thesis we first present two examples from Geometric Ramsey theory in R2. Then we generalize these results to higher dimensions and construct our main theorem. Then we translate our geometric problem into dynamical ...
  • Theory of generating functions and their applications 
    Bağrıaçık, A. İlker. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 1999., 1999.)
    The generating functions are important instruments for solving the enumerative problems in combinatorial analysis and in number theory. Enumerative problems arise when we need to be explicit about the number of ways of ...
  • Radicals of incidence algebras 
    Çanakçı, İlke. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007., 2007.)
    The incidence algebra of a locally finite partially ordered set X; with the partial ordering "≤", over a ring with identity T is defined as the set of all mappings f : X x X ---T where f(x; y) = 0 for all x; y 2 X with x ...
  • Almost cubic nonlinear schrödinger equation: existence, uniqueness and scattering 
    Kuz, Elif. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2008., 2008.)
    In this thesis, a uni ed treatment is given for a class of nonlinear non-local 2D elliptic and hyperbolic Schrödinger equation which includes the 2D nonlinear Schrödinger (NLS) equation with a purely cubic nonlinearity, ...
  • Local topological structure in the LUC compactification of a locally compact group 
    Elgün, Elçim. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007., 2007.)
    In this thesis we first construct the LUC-Compactification of a topological group. We present GLUC with two different approaches, first as the set of multiplicative means on the space of LUC functions on G, and when G is ...
  • First steps into heegard floer homology 
    Özlem, Semih. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2008., 2008.)
    Heegard Floer homology is a topological invariant for closed 3-manifolds equipped with a spinc-structure. Construction of Heegard Floer homology in the case when first Betti number is 0 is explained. The tools required in ...
  • Incidence algebras and coalgebras 
    Sütlü, Serkan. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007., 2007.)
    The main objective of this thesis is to study incidence coalgebras and incidence Hopf algebras. To this end, we first introduced algebras and coalgebras in a unified manner and investigated the the duality between them. ...
  • Proof of the weinstein conjecture for overtwisted closed contact 3-manifolds 
    Sağlam, Murat. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007., 2007.)
    In this thesis, we study the proof of the Weinstein conjecture for 3-dimensional closed manifolds equipped with an overtwisted contact structure. The method of filling by pseudoholomorphic disks and the bubbling-off analysis ...

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