Browsing Matematik by Title

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  • A mathematical model of drug delivery by modifying the tumor microenvironment: MMP activation 
    Kaba, Duygu. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2013., 2013.)
    Cancer modeling has become one of the challenging frontiers of applied mathematics mostly for two decades. Drug delivery to solid tumors also attracts both theorists and experimentalists due to its signi cance in cancer ...
  • 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. ...
  • A survey on endo - trivial modules 
    Sert, Gözde. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    In this thesis, we investigate endo-trivial modules and their classification endo trivial modules over p-groups. Endo-trivial modules were introduced by Dade [1] and appear naturally in moduler representation theory. Several ...
  • ABC conjecture and its implications 
    Koç, Tuğçe. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2019., 2019.)
    In this thesis, our aim is to state the importance of abc conjecture and prove the strong results we obtain with the help of abc conjecture. First, we give necessary notions and tools which are used throughout the thesis. ...
  • Algebraic overtwised contact structures on 3-sphere 
    Karadereli, Şeyma. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2020., 2020.)
    It is known that all of the complex analytic singularity links and the associated Milnor open books on the 3-sphere correspond to a single contact structure, which is the unique tight structure of the 3-sphere. The main ...
  • Algebro-geometric solutions of the kadomtsev-petviashvili equation 
    Çiçek, Fatma. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2014., 2014.)
    I. M. Krichever suggested a method to solve nonlinear partial di erential equations in the form of the Zaharov-Shabat Equation [L {u100000} @y;A {u100000} @t] = 0 where L and A are di erential operators including derivatives ...
  • 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, ...
  • 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 ...
  • 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 optimal change of variables scheme for single scattering problems 
    Eruslu, Hasan Hüseyin. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In this work we are concentrated on the direct obstacle scattering problem for convex bodies in two dimensions. In order to calculate the scattered eld, we rst need to compute the normal derivative of the total eld on ...
  • Analysis of convergent integral equation methods for high-frequency scattering 
    Keserci, Samet. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2012., 2012.)
    The main aim of this thesis is to devise numerical methods for the solution of high-frequency scattering problems in 2 dimensional settings by utilizing geometrical optics ansatz and asymptotic properties of solutions for ...
  • Applications of graph theory to error correcting codes 
    İmamoğlu, Yeşim. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2001., 2001.)
    Graph Theory has applications in many different fields, especially in combinatorics. In this study, we investigate the methods developed for obtaining error-correcting codes using graphs. First, the codes obtained from ...
  • Asymptotically anti-de Sitter spacetimes in three dimensions 
    Deral, Ceren Ayşe. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2021., 2021.)
    In this thesis, we reviewed several aspects of asymptotically anti-de Sitter (AAdS) spacetimes in three dimensional Einstein gravity by following some important historical work. Starting with a brief introduction to anti-de ...
  • Banach uzaylarında izdüşüm kavramının bir genelleştirilmesi; |lineer olmayan denklem ve varyasyonel eşitsizlikler ile ilgili bazı sonuçlar 
    Ülger, Ali. (Thesis (Assoc. Prof.)- Bogazici University. Institute for Graduate Studies in Social Sciences, 1982., 1982.)
  • Bazı matris gruplarının kohomolojisi hakkında 
    Küsefoğlu, Ayşe. (Thesis (Assoc. Prof.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 1980., 1980.)
  • 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 ...
  • Cascading behavior in infinite networks 
    Özdemir, Alperen Yaşar. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2012., 2012.)
    The aim of this master thesis is to analyze the underlying mathematical structure of the infinite network models of cascading behavior. Graph theoretical tools are essential to understand the structure of the network and ...
  • Central-firing of type A2n with initial weight 0 
    Cin, Uğur. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2020., 2020.)
    In this thesis a variant of the chip- ring game introduced by Hopkins, McConville and Propp in [1], called the labeled chip- ring on Z, is studied. We will rst explore the basic properties and examples of this game. We ...
  • Class number one problem 
    Kır, Harun. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2019., 2019.)
    In 1801, Gauss conjectured that there are exactly nine imaginary quadratic number fields with class number one, namely: Q(√−1), Q(√−2), Q(√−3), Q(√−7), Q(√−11), Q(√−19), Q(√−43), Q(√−67) and Q(√−163). This conjecture is ...
  • 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 ...

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