Browsing Matematik by Title

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  • Langlands reciprocity principle for GL(n) 
    Barbaros, Bahri Fatih. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2021., 2021.)
    Langlands program is one of the most significant areas of research in modern mathematics as it asserts a connection between number theory, representation the ory and automorphic forms. Langlands program is basically a study ...
  • Large deviations principles for Markov chains and for strongly additive arithmetic functions 
    Yenisey, Mehmet. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    Large deviations is a branch of probability theory with far-reaching applications in other elds of science and can be described to the layperson as the study of \very rare" events. We provide a modest introduction to the ...
  • Local topological structure in the LUC compactification of a locally compact group 
    Elgün, Elçim. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007., 2007.)
    In this thesis we first construct the LUC-Compactification of a topological group. We present GLUC with two different approaches, first as the set of multiplicative means on the space of LUC functions on G, and when G is ...
  • Mackey functors and fusion systems 
    İplikçi, Ayçin. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2019., 2019.)
    In this thesis, we present a survey for the paper [1]. We study with the biset functors representation rings and superclass functions. We define representation rings of a saturated fusion system F and F-stable elements of ...
  • Maslov indices for lagrangian triplets 
    Karabatman, Ferhat. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2020., 2020.)
    In this thesis, we study the properties and an application of Maslov ternary index. By nding some special elements which generate symplectic group, we show that Maslov ternary index becomes a very important tool in the ...
  • Milnor open books and milnor fillable contact structures 
    Cengiz, Mustafa. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2014., 2014.)
    It was proven by Caubel, N emethi, Popescu-Pampu [1] in 2004 that any 3- dimensional Milnor llable manifold inherits a unique contact structure from any of its llings up to contactomorphism. The proof runs as follows: ...
  • Modular approcah to diophantine equations 
    Işık, Erman. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2019., 2019.)
    In this thesis, we study the modular approach to the Fermat’s equation xp+yp = zp, where x,y and z are co-prime integers, and p is a prime, and some generalizations. After reviewing and explaining how the modular approach ...
  • Modular representations of GL (2,p) 
    Karakurt, Turan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    In this thesis, we investigate representations of GLp2,pqby using indecomposable projective modules for GLp2,pq. Actually, this is pure module theoretic approach in parallel with [1] since we do not refer any character ...
  • Monogenic number fields 
    Değirmenci, Pınar. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    Determining whether the ring of integers OK of an algebraic number field K of degree n admits a power integral basis is one of the classic problems in algebraic number theory. In other words, we want to determine whether ...
  • Negative dependence in discrete probability :|notions, models and consequences 
    Çiçeksiz, Recep Altar. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2021., 2021.)
    In this thesis we study the negative dependence properties of random cluster measure. First, we introduce the notions of negative correlation and how they relate to each other. We observe that this important notion is ...
  • Null controllability of 1-d heat equation with switching controls 
    Taghiyev, Ali. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2013., 2013.)
    In [1], Zuazua analyzed the problem of two switching controls for null controllability of the 1-d heat equation with Dirichlet's boundary conditions and obtained su cient conditions for null controls satisfying switching ...
  • 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 ...
  • On a shell formula of closed curves in riemannian manifolds 
    Şimşek, Ahmet. (Thesis (Ph.D.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 1986., 1986.)
  • 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 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 ...

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