Browsing Matematik by Title

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  • On asymptotics of two non-uniform recursive tree models 
    Hiesmayr, Ella Veronika. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017., 2017.)
    In this thesis the properties of two kinds of non-uniform random recursive trees are studied. In the first model weights are assigned to each node, thus altering the attachment probabilities. We will call these trees weighted ...
  • On infinite dimensional spherical analysis 
    Çam, Şermin. (Thesis (Ph.D.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017., 2017.)
    This thesis is concerned with the spherical analysis of two di erent Olshanski pairs, one of which is related to Heisenberg groups, and the other to the automorphism groups of homogeneous trees. The spherical functions of ...
  • On minimal defining sets of full designs 
    Demirkale, Fatih. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)
    A defining set of a t-(v; k; ̧) design is a subset of the block set of the design which is not contained in any other design with the same parameters. A defining set is said to be minimal if none of its proper subsets is ...
  • On online and approximate cover time problems 
    Yıldız, Mehmet Akif. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2020., 2020.)
    As a generalization of the classical coupon collector problem in the probability theory, the cover time in random walks on Markov chains has been investigated in numerous studies in the literature. Especially, there are ...
  • On simple modules over the section burnside functor 
    Balçık, Irmak. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    Biset functors provides a uni ed approach to module theoretic operations on representations of nite groups. It is well-known that biset functors can be considered as modules over the Green biset functor of the Burnside ...
  • 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 geometric objects of same type as christoffel symbols of Ehresmann Ë-connections 
    Abadoğlu, Ender. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 1995., 1995.)
    In this thesis the higher order Ehresmann a-connections are studied as geometric objects. We prove that, any two Lie subgroups of the rth order jet group G~ which are isomorphic to G~ are conjugate. It follows from this ...
  • On the hypersurfaces in toric varieties 
    Barış, İlayda. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    Theory of toric varieties provides fruitful interactions between algebraic geom etry and combinatorics. It is remarkably fertile in terms of connections with many areas of mathematics and has plentiful applications to other ...
  • 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 ...
  • 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 ...
  • p-değerli kuvazimeromorf fonksiyonlar hakkında 
    Göktürk, Zerrin. (Thesis (Assoc. Prof.) - Boğaziçi University. Institute of Social Sciences, 1979., 1979.)
  • 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 ...
  • 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 ...
  • Projective characters of finite groups 
    Yılmaz, Said. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    The purpose of this thesis to analyze the basic facts about projective characters of finite groups and compare them to the facts about ordinary characters of finite groups. We start with review of basic facts about the ...
  • Proof of the weinstein conjecture for overtwisted closed contact 3-manifolds 
    Sağlam, Murat. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007., 2007.)
    In this thesis, we study the proof of the Weinstein conjecture for 3-dimensional closed manifolds equipped with an overtwisted contact structure. The method of filling by pseudoholomorphic disks and the bubbling-off analysis ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Radicals of incidence algebras 
    Çanakçı, İlke. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007., 2007.)
    The incidence algebra of a locally finite partially ordered set X; with the partial ordering "≤", over a ring with identity T is defined as the set of all mappings f : X x X ---T where f(x; y) = 0 for all x; y 2 X with x ...
  • Reciprocity law of quadratic extensions 
    Tümel, Filiz. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2006., 2006.)
    In the first chapter, basic definitions and results which will be used in the following chapters of this thesis are presented. In the following chapter, ideal classes and classes of quadratic forms are reviewed. Then the ...

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