Browsing by Author "Eden, Alp,"

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  • 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, ...
  • 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 ...
  • 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 ...
  • Integration of the deterministic functions with respect to fractional Brownian motion 
    Yıldırım, Gökhan. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2006., 2006.)
    In this thesis, definition and the characteristic properties of fractional Brownian motion are presented and the general idea for the integration of deterministic functions is discussed with a specific class of integrands. ...
  • Irregular sampling in shift-invariant spaces 
    Özkaya, Sadık Görkem. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2006., 2006.)
    This thesis is an exposition of the concept of localization of frames in the problem of irregular sampling in shift-invariant spaces. The given definition of the localization of a frame will appear to be equivalent to an ...
  • On a volume estimate for some subsets of a Grassmannian 
    Demirkaya, Emre. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2013., 2013.)
    Measure theory gives us a technique for proving existence theorems. In simple terms this technique can be described as follows: start with a set and put a measure on it. Then nd the exact measure of a speci ed set A. By ...
  • 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 ...
  • On the role of diagonalization in Gödel's incompleteness and Tarski's theorems 
    Budak, Mehmet. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2010., 2010.)
    Three major theorems of arithmetics from early 1930s delineate the enterprise of formalization in mathematics: Gödel's First Incompleteness Theorem, Diagonalization Lemma and Tarski's Theorem. We begin the thesis with a ...
  • Positive definite functions on spheres 
    Yılmaz, Fatma. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    Positive de nite functions play a central role in approximation theory as in many other areas of mathematical research. The methods for data interpolation on spheres can be e ectively used for analysis of large data sets ...
  • Propp-Wilson algorithm and beyond 
    Işlak, Ümit. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2010., 2010.)
    Propp-Wilson algorithm is a Markov chain Monte Carlo method that produces samples that are drawn exactly from the stationary distribution of a given Markov chain. The aim of this master thesis is to unify the underlying ...
  • Variational methods for nonlinear elliptic partial differential equations with nonlocal terms 
    Topaloğlu, İhsan Ata. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007., 2007.)
    In this thesis, existence of standing waves for the DaveyStewartson (DS) and generalized DaveyStewartson (GDS) systems are established using variational methods. Since both the DS system and the GDS system reduce to a ...
  • Zeros of orthogonal polinomials and universality limits 
    Çamlıyurt, Güher. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2013., 2013.)
    It has been discovered that "old style" techniques from orthogonal polynomials have been very useful in establishing universality results for quite general measures. The main goal of this master thesis is to present some ...

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