Ferihe Atalan

Atalan, Ferihe

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

ORCID ID

0000-0001-6547-0570

Scopus Author ID

50123456789

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Scholarly Output

19

Articles

14

Views / Downloads

71/442

Supervised MSc Theses

5

Supervised PhD Theses

0

WoS Citation Count

31

Scopus Citation Count

30

Patents

0

Projects

1

WoS Citations per Publication

1.63

Scopus Citations per Publication

1.58

Open Access Source

8

Supervised Theses

5

Journal	Count
Turkish Journal of Mathematics	3
Rocky Mountain Journal of Mathematics	2
Glasgow Mathematical Journal	1
Groups, Geometry, and Dynamics	1
International Journal of Algebra and Computation	1

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Current Page: 1 / 3

Scopus Quartile Distribution

Competency Cloud

Scholarly Output Search Results

Now showing 1 - 10 of 19

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.
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.
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.
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; Ozan, Ferihe Atalan
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
Solving an Initial Boundary Value Problem on Thesemiinfinite Interval
(2016) Atalan, Ferihe; Guseınov, 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 = ∞.
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.
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.
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.
Citation - WoS: 12
Citation - Scopus: 12
Automorphisms of Curve Complexes on Nonorientable Surfaces
(European Mathematical Soc, 2014) Atalan, Ferihe; Korkmaz, Mustafa
For a compact connected nonorientable surface N of genus g with n boundary components, we prove that the natural map from the mapping class group of N to the automorphism group of the curve complex of N is an isomorphism provided that g + n >= 5. We also prove that two curve complexes are isomorphic if and only if the underlying surfaces are diffeomorphic.
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.