Matematik: Recent submissions

  • Quotients of Hom-functors 
    Bilgin, Zehra. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2012., 2012.)
    Quotients of Hom-functors are functors of the form HomR(P;{u100000})=HomR(P;{u100000})J where P is a projective R-module and J is a certain ideal of the endomorphism ring of P. These functors were used by R. Dipper in the ...
  • 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 ...
  • O-minimal structures 
    Pehlivan, Cihan. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    IfMis a o-minimal expansion of ordered eld of reals which contains a de nable function which can not dominated by polynomials, then exponential function appears as a de nable function. In this study rstly we introduce ...
  • Convexity in graphs 
    Erey, Aysel. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    The idea of finding analogies and generalizations to some concepts from continuous mathematics has led to the study of several new topics in discrete structures. Convexity is such a concept that has been widely studied in ...
  • 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 ...
  • Denseness of morse-smale systems on surfaces 
    Özsarfati, Metin. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    Let M be a compact, connected 2-manifold without boundary. Morse-Smale fields are known to be dense in the space of all Cr vector elds on M when M is oriented or is one of RP2, Klein bottle or torus with a cross cap. In ...
  • Pseudo-Anosov diffeomorphisms and the monodromy of an open book 
    Eden, Sinan. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    In this thesis, we study the proof of the fact that any mapping class on a compact oriented surface with non-empty boundary can be made pseudo-Anosov after a sequence of positive stabilizations. In the language of contact ...
  • Hopf galois extensions 
    Erey, Nursel. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    Let H be a Hopf algebra which coacts to the right on A and let B be the subalgebra of coinvariants. The extension B A is said to be Hopf Galois if the canonical map ..... is a bijection. This work investigates this kind ...
  • Path algebras 
    Adanalı, Pınar. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    In this thesis, we investigate path algebras and Leavitt path algebras. Some properties of path and Leavitt path algebras are given. Our aim is to see what conditions on the graph E makes Leavitt path algebras simple. We ...
  • 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 ...
  • 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 ...
  • 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 ...

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