Browsing Matematik by Title

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  • 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 ...
  • Different versions of the modularity theorem 
    Bildik, İlkiz. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017., 2017.)
    One of the most interesting results in number theory is the proof of the Modu larity Theorem. The Modularity Theorem has many different versions. The geometric version states that there is a surjective morphism between ...
  • Disorder regimes of directed polymers: lattice case versus tree case 
    Nurbavliyev, Sergazy. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    Relation between disorder regimes of directed lattice polymers and tree polymers have been scrutinized in this thesis. In the rst part of this thesis we introduced the polymer in chemistry and explained our model associated ...
  • Efficient based for the galerkin solution of multiple-scattering problems 
    Aktepe, Ömer. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    In this thesis we consider high-frequency multiple scattering problems in the exterior of two-dimensional smooth compact scatterers consisting of two disjoint strictly convex obstacles. The motivation in considering this ...
  • Finite quotients in algebraic geometry 
    Demirhan, Arda Hüseyin. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In the 1960s Alexander Grothendieck and Michel Demazure organized the seminar, S eminaire de G eom etrie Alg ebrique du Bois Marie (SGA), in which they developed the theory of group schemes. My thesis primarily focuses on ...
  • First moment problem in longest common subsequences 
    Demirelli, Abdurrahman. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    In this thesis, we investigate the properties of the longest common subsequences in random words, examine upper and lower bounds for the expected value of the longest common subsequences in this setting, and discuss the ...
  • 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 ...
  • Frequency independent evaluation of highly oscillatory integrals 
    Özdemir, Rıdvan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    Oscillatory integrals appear in many applications and therefore, several differ ent quadrature rules for their accurate and efficient evaluation have been proposed in the literature. The efficiency of these methods naturally ...
  • 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 ...
  • Generalized complex geometry and nilmanifolds 
    Güner, Murat. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2013., 2013.)
    The generalized complex geometry is a relatively new and highly popular subject which also has applications in theoretical physics. It studies the geometric structures on TM T M. That is to say, this new geometry develops ...
  • Global well-posedness of NLS equations 
    Yılmaz, Oğuz. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    The thesis is a survey of the I-method. After introducing the method, we discuss the implementation of this method to cubic, defocusing nonlinear Schrödinger equation in the spatial dimension n = 2 and quintic, defocusing ...
  • Green biset functors and representation rings 
    Muslumov, Ruslan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017., 2017.)
    In this thesis, we investigate Green biset functors and clasi cation of sipmle modules over a Green biset functors in some special cases. Our aim is to see what conditions on the Green functor makes simple modules over it ...
  • Homogeneous spacetime solutions of minimal massive gravity 
    Charyyev, Jumageldi. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    In this thesis we rst study general mathematical properties of homogeneous spaces. We then review classi cation of three-dimensional Lie algebras, which was done by Bianchi. There are nine classes. In the last part we ...
  • 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 ...
  • 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. ...
  • 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 ...
  • 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. ...
  • Inverse galois problem 
    Kırımlı, Eda. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    The main focus of this thesis is so called Inverse Galois Problem. The statement of the problem is that given a finite group G, does there exist a finite Galois extension L/Q whose Galois group is G? There has been a great ...
  • 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 ...
  • Kadison-Singer problem from a banach algebra perspective 
    Keçkin, Murat. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    In 1959, Kadison and Singer asked whether every pure state of the diagonal subspace D(ℓ2) of B(ℓ2) has a unique pure state extension to B(ℓ2). This problem has remained open until 2013; in 2013 it has been solved by a team ...

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