AUB ScholarWorks

Browsing AUB Students' Theses, Dissertations, and Projects by Author "Faculty of Arts and Sciences.$Department of Mathematics,"

Browsing AUB Students' Theses, Dissertations, and Projects by Author "Faculty of Arts and Sciences.$Department of Mathematics,"

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  • Approximation of non-holomorphic maps - 
    Khoudari, Nour Ahmed, (2018)
    We will study the approximation of nonholomorphic maps from the unit disc to a complex manifold. This starts by generalizations of some theorems from one complex variable to several complex variables like the generalizations ...
  • Bourgain's incidence set problem - 
    Salem, Joan Nadia Naji, (2018)
    This thesis investigates Bourgain's incidence set problem. This problem concerns the intersection patterns of lines in space. More precisely, given a set X in R3, and a set L of N2 lines in R3 satisfying the following ...
  • Central limit theorem on the general linear group - 
    Badawe, Heba Mansour, (2018)
    Our goal in this thesis is to understand the Central Limit Theorem (CLT) for linear groups proved partially by Le Page in 1982 then fully by Benoist and Quint in 2016. Consider a probability measure m on the general linear ...
  • Extension of biholomorphic maps from special domains into their boundaries - 
    Abdo, Elie Youssef, (2018)
    Several theorems that hold in the theory of one complex variable cannot be generalized to the theory of several complex variables. One of them is the Riemann Mapping Theorem, which states that every non-empty simply connected ...

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