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

18

Articles

14

Views / Downloads

49/378

Supervised MSc Theses

4

Supervised PhD Theses

0

WoS Citation Count

30

Scopus Citation Count

29

WoS h-index

4

Scopus h-index

4

Patents

0

Projects

1

WoS Citations per Publication

1.67

Scopus Citations per Publication

1.61

Open Access Source

8

Supervised Theses

4

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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

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Scholarly Output Search Results

Now showing 1 - 10 of 18

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: 11
Citation - Scopus: 11
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.
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.
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.
Moves on Curves on Nonorientable Surfaces
(Rocky Mt Math Consortium, 2022) Atalan, Ferihe; Yurttas, S. Oyku
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 d. with so-called relaxed curves in Ng,n making use of measured n1-train tracks. The algorithm proceeds by the repeated application of three moves which take as input the measures of d. and produces as output a multicurve d.' which is minimal with respect to each of the relaxed curves. The last step of the algorithm calculates the number of intersections between d.' and the relaxed curves.
Liftable Homeomorphisms of Cyclic and Rank Two Finite Abelian Branched Covers Over the Real Projective Plane
(Elsevier, 2021) Atalan, Ferihe; Medetogullari, Elif; Ozan, Yildiray
In this note, we investigate the property for regular branched finite abelian covers of the real projective plane, where each homeomorphism of the base (preserving the branch locus) lifts to a homeomorphism of the covering surface. (C) 2020 Elsevier B.V. All rights reserved.
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.
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.
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 = ∞.
Eğri Grafının Otomorfizmaları
(2017) Elamın, Amel Omar Alı; Ozan, Ferihe Atalan
Bu tezde, yüzeyler üzerindeki ayırmayan eğrilerin belli bir grafının otomorfizmalarını ve iki-taraflı eğrilerin komplekslerinin otomorfizmalarını çalışacağız. Üçüncü bölümde, cins sayısı g >= 1 ve n delikli yönlendirilebilen yüzeyler için P. S. Schaller'ın hiperbolik yüzeylerin gönderim sınıf grupları ve grafların otomorfizma grupları üzerine yaptığı çalışmasını ele alacağız. Daha açık olarak, Schaller tarafından ispat edilen belli bir grafın otomorfizma grubunun yönlendirilebilen yüzeyin genişletilmiş gönderim sınıf grubuna izomorfik olduğu gösterilmektedir. Bu tezin son bölümünde, cins sayısı g ve n delikli yönlendirilemeyen yüzeyler üzerindeki iki-taraflı basit kapalı eğrilerin komplekslerinin otomorfizmalarını çalışacağız.