Browsing Matematik by Title

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  • Smoothing estimates for the periodic KdV equation 
    Kuzgun, Şefika. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    In this thesis we aim at understanding an article of M. B. Erdo gan and N. Tzirakis on the famous KdV (Korteweg-de Vries) equation, entitled \Global smoothing for the periodic KdV", which appeared in International Mathematics ...
  • Smoothing properties of initial-boundary value problems 
    Başakoğlu, Engin. (Thesis (Ph.D.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    This thesis discusses the smoothing properties of dispersive partial differential equations. In the first part of the thesis, we consider the Davey–Stewartson system on R 2 and demonstrate that the nonlinear part of the ...
  • Some cases of generalized fermat equation 
    Erdoğan, Altan. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2008., 2008.)
    This thesis presents a classification of some cases of generalized Fermat equation and applications of elementary methods to these equations in order to find integer solutions to these equations. Applications of some more ...
  • 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 ...
  • 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.
  • Space filling curve heuristic and the traveling salesman problem 
    Charyyev, Polat. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2012., 2012.)
    Let LSFC n denote the length of the path connecting n random points uniformly distributed over the unit square obtained by the space lling curve heuristic. For a Hilbert type of space lling curve such as; Peano, Moore, ...
  • Stationary distributions and convergence rates for the edge flipping process 
    Demirci, Yunus Emre. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2021., 2021.)
    The edge flipping process is a random walk over the set of all possible color patterns of a graph. Each time the two endpoints of the selected edge are colored the same color. This color is blue with probability p and red ...
  • Supersymmetric non-linear sigma models in D=2+1 dimensional spacetime 
    Bardavid, Metin. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2021., 2021.)
    In this thesis we study the theory of Supersymmetric Non-Linear a-Models. We first review the free scalar field theory which can be considered as a Linear a-model. We then discuss the Non-Linear a-model as well as the ...
  • 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 ...
  • The fibered burnside ring of a fusion system 
    Seviniş, Mert. (Thesis (Ph.D.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2019., 2019.)
    J. S. Reeh, in his PhD thesis [1], described the Burnside ring and its free basis for the fusion-stable sets. In this thesis we will extend his results for fibered sets. Basically we will use the same technics J.S. Reeh ...
  • The fibered p-biset functor of the fibered burnside ring 
    Yılmaz, Deniz. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    We nd the composition factors of the A- bered Burnside functor kBA of p- groups over a eld k of characteristic q with q 6= p. We show that if A is a cyclic p-group, then kBA is uniserial. Moreover, we also show that the ...
  • The mean values of the functional equation factor x at the zeros of (s) and L 
    Banli, Kübra. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In this work, we calculate some mean values of the functional equation factor at the zeros of derivatives of Riemann zeta function and Dirichlet L-functions.
  • The ordinary component of l-isogeny graph of elliptic curves 
    Kaytancı, Kübra. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017., 2017.)
    In this thesis, our aim is to understand `-volcanoes which are ordinary compo nents of `-isogeny graphs of elliptic curves over finite fields under certain conditions. In 1996, the structure of isogeny graphs of elliptic ...
  • The question of model companionability : positive and negative answers 
    Berksoy, Feyza Nur. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    Model companion ofa universal theory T is the axiomatization of the existentially closed models of T. This thesis studies the concept of model companionability of theories. We present examples of model companions of certain ...
  • 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 ...
  • Theory of noncommutative motives 
    Üze, Berkan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    The theory of motives was originally conceived by Alexander Grothendieck as a universal cohomology theory for algebraic varieties. In the decades since it was first introduced, it has become a vast and profoundly sophisticated ...
  • Topologies on families of closed subsets 
    Karan, Alperen. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In 1914, Felix Hausdor introduced a metric, called the Hausdor metric on the set of closed subspaces, Hausdor space, of a metric space. This metric and the corresponding topology are the main objects of the study. In ...
  • Traces of operators with integrable kernels 
    Başakoğlu, Engin. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    Trace class operators are compact operators whose singular values are absolutely summable. C. Brislawn proved in [1] and [2] that a trace formula for trace class operator on L2(X) is determined by it's corresponding kernel ...
  • 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 ...
  • Vertical distribution problems in Zeta-Function theory 
    Karabulut, Yunus. (Thesis (Ph.D.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In this thesis, we focus on the vertical distribution problems of the zeros of the Riemann zeta-function and other related functions. In the rst half of our study we modify Montgomery's argument [1] in such a way that we ...

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