Atalan, Ferihe

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Profile URL
https://hdl.handle.net/20.500.14411/6711
Name Variants
Ozan, Ferihe Atalan
Ferihe Atalan
Atalan,F.
Atalan,Ferihe
Ferihe, Atalan
A., Ferihe
A.,Ferihe
Atalan, Ferihe
F.,Atalan
Atalan F.
F., Atalan
Job Title
Profesör Doktor
Email Address
ferihe.atalan@atilim.edu.tr
Main Affiliation
Mathematics
Status
Website
ORCID ID
0000-0001-6547-0570
Scopus Author ID
50123456789
Turkish CoHE Profile ID
Google Scholar ID
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Now showing 1 - 10 of 18
  • Thumbnail Image
    Article
    Number of Pseudo–anosov Elements in the Mapping Class Group of a Four–holed Sphere
    (2010) Ozan, Ferihe Atalan; Korkmaz, Mustafa
    We compute the growth series and the growth functions of reducible and pseudo-Anosov elements of the pure mapping class group of the sphere with four holes with respect to a certain generating set. We prove that the ratio of the number of pseudo-Anosov elements to that of all elements in a ball with center at the identity tends to one as the radius of the ball tends to infinity.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Solving an initial boundary value problem on the semiinfinite interval
    (Tubitak Scientific & Technological Research Council Turkey, 2016) Atalan, Ferihe; Guseinov, Gusein Sh.
    We explore the sign properties of eigenvalues and the basis properties of eigenvectors for a special quadratic matrix polynomial and use the results obtained to solve the corresponding linear system of differential equations on the half line subject to an initial condition at t = 0 and a condition at t = infinity.
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    Article
    Connectedness of the Cut System Complex on Nonorientable Surfaces
    (Univ Kragujevac, Fac Science, 2022) Ali, Fatema; Atalan, Ferihe
    Let N be a compact, connected, nonorientable surface of genus g with n boundary components. In this note, we show that the cut system complex of N is connected for g < 4 and disconnected for g >= 4. We then define a related complex and show that it is connected for g >= 4.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    On a Quadratic Eigenvalue Problem and Its Applications
    (Springer Basel Ag, 2013) Atalan, Ferihe; Guseinov, Gusein Sh
    We investigate the eigenvalues and eigenvectors of a special quadratic matrix polynomial and use the results obtained to solve the initial value problem for the corresponding linear system of differential equations.
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    Master Thesis
    Doğuran Çekirdekli Hilbert Uzayları Üzerine Bir İnceleme
    (2024) Kaysı, Tuba; Ay, Serdar; Atalan, Ferihe
    Bu tezin içeriği, Matematik, İstatistik ve makine öğrenmesi gibi pek çok alanda önemli bir araç olarak kullanılan doğuran çekirdekli Hilbert uzayları ile ilgili genel bilgilerden oluşmaktadır. Bu çalışmada ilk olarak doğuran çekirdekli Hilbert uzayı (kısaca DÇHU) ve doğuran çekirdek tanımı verildi ve birkaç DÇHU örneğinden bahsedildi. Doğuran çekirdeğin temel karakteristik özelliğine, doğuran çekirdekli Hilbert uzayları teorisinin klasik teoremlerinden biri olan Moore-Aronszajn Teoremi'nin ifadesine ve kısaca ispatına değinildi. Sonrasında bir çekirdek fonksiyonu verildiğinde nasıl doğuran çekirdekli bir Hilbert uzayı inşa edildiğine bakıldı. Son olarak, doğuran çekirdekli Hilbert uzaylarının bazı uygulamaları tartışıldı. Bunlardan ilki interpolasyon ve yaklaşım teorisi üzerine diğeri ise İstatistik ve makine öğrenmesi üzerine uygulamalarıdır.
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    Article
    Citation - WoS: 5
    Citation - Scopus: 4
    Number of Pseudo-Anosov Elements in the Mapping Class Group of a Four-Holed Sphere
    (Tubitak Scientific & Technological Research Council Turkey, 2010) Atalan, Ferihe; Korkmaz, Mustafa
    We compute the growth series and the growth functions of reducible and pseudo-Anosov elements of the pure mapping class group of the sphere with four holes with respect to a certain generating set We prove that the ratio of the number of pseudo-Anosov elements to that of all elements in a ball with center at the identity tends to one as the radius of the ball tends to infinity
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    Article
    Moves on Curves on Nonorientable Surfaces
    (Rocky Mountain Mathematics Consortium, 2022) Atalan,F.; Yurttaş,S.Ö.
    Let Ng,n denote a nonorientable surface of genus g with n punctures and one boundary component. We give an algorithm to calculate the geometric intersection number of an arbitrary multicurve L with so-called relaxed curves in Ng,n making use of measured π1-train tracks. The algorithm proceeds by the repeated application of three moves which take as input the measures of L and produces as output a multicurve L′ which is minimal with respect to each of the relaxed curves. The last step of the algorithm calculates the number of intersections between L′ and the relaxed curves. © Rocky Mountain Mathematics Consortium.
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    Master Thesis
    Yüzeyler Üzerindeki Kesim-sistemi Kompleksinin Bağlantılılığı
    (2017) Alı, Fatema; Ozan, Ferihe Atalan
    M kompakt, bağlantılı, cins sayısı g>=1 ve n sınır bileşenli yönlendirilebilen veya yönlendirilemeyen bir yüzey olsun. Bu tezde, M yüzeyinin kesim sistemi kompleksinin bağlantılılığını çalışacağız. Daha açık olarak söylersek, üçüncü bölümde, Wajnryb'ın yönlendirilebilen yüzeyin kesim sistemi kompleksinin bağlantılılığını ispat ettiği çalışmasını inceleyeceğiz. Son bölümde ise yönlendirilemeyen bir yüzeyin kesim sistemi kompleksinin bağlantılı olduğunu ispat edeceğiz.
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    Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Outer Automorphisms of Mapping Class Groups of Nonorientable Surfaces
    (World Scientific Publ Co Pte Ltd, 2010) Atalan, Ferihe
    Let N(g) be the connected closed nonorientable surface of genus g >= 5 and Mod(Ng) denote the mapping class group of N(g). We prove that the outer automorphism group of Mod(N(g)) is cyclic.
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    Article
    Citation - WoS: 5
    Citation - Scopus: 5
    Automorphisms of the mapping class group of a nonorientable surface
    (Springer, 2017) Atalan, Ferihe; Szepietowski, Blazej
    Let S be a nonorientable surface of genus g >= 5 with n >= 0 punctures, and Mod(S) its mapping class group. We define the complexity of S to be the maximum rank of a free abelian subgroup of Mod(S). Suppose that S-1 and S-2 are two such surfaces of the same complexity. We prove that every isomorphism Mod(S-1) -> Mod(S-2) is induced by a diffeomorphism S-1 -> S-2. This is an analogue of Ivanov's theorem on automorphisms of the mapping class groups of an orientable surface, and also an extension and improvement of the first author's previous result.