Department of Mathematics

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Publication (1087)
Thesis (440)
Project (61)
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Özbudak, Ferruh (142)
Akhmet, Marat (109)
Tezer, Münevver (103)
Zafer, Ağacık (70)
Bozkaya, Canan (52)

Applied Mathematics (201)
General Mathematics (129)
Analysis (83)
Algebra and Number Theory (75)
Computational Mathematics (50)

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1964 - 1979 (57)
1980 - 1999 (292)
2000 - 2019 (1183)
2020 - 2021 (69)

Recent Submissions

Genus-3 Lefschetz Fibrations and Exotic 4-Manifolds with b(2)(+)=3
Altunöz, Tülin (2021-06-01)
We explicitly construct a genus-3 Lefschetz fibration over S-2, whose total space is T-2 x S-2 #6 (CP2) over bar using the monodromy of Matsumoto's genus-2 Lefschetz fibration. We then construct more genus-3 Lefschetz fibr...
The mapping class group is generated by two commutators
Baykur, R. Inanc; Korkmaz, Mustafa (2021-05-01)
We show that the mapping class group of any closed connected orientable surface of genus at least five is generated by only two commutators, and if the genus is three or four, by three commutators. (C) 2021 Elsevier Inc. A...
Akhmet, Marat; Alejaily, Ejaily Milad (2021-05-01)
A new mathematical concept of abstract similarity is introduced and is illustrated in the space of infinite strings on a finite number of symbols. The problem of chaos presence for the Sierpinski fractals, Koch curve, as w...
Commuting graph of A-orbits
Gilloglu, Ismail S.; Ercan, Gülin (2021-05-01)
Let A be a finite group acting by automorphisms on the finite group G. We introduce the commuting graph Gamma(G, A) of this action and study some questions related to the structure of G under certain graph theoretical cond...
Full lattice convergence on Riesz spaces
AYDIN, ABDULLAH; Emelyanov, Eduard; Gorokhova, Svetlana (2021-05-01)
The full lattice convergence on a locally solid Riesz space is an abstraction of the topological, order, and relatively uniform convergences. We investigate four modifications of a full convergence c on a Riesz space. The ...
Unpredictable Oscillations for Hopfield-Type Neural Networks with Delayed and Advanced Arguments
Akhmet, Marat; ARUĞASLAN ÇİNÇİN, Duygu; Tleubergenova, Madina; Nugayeva, Zakhira (2021-03-01)
This is the first time that the method for the investigation of unpredictable solutions of differential equations has been extended to unpredictable oscillations of neural networks with a generalized piecewise constant arg...
Segre Indices and Welschinger Weights as Options for Invariant Count of Real Lines
Finashin, Sergey; Kharlamov, Viatcheslav (2021-03-01)
In our previous paper [5] we have elaborated a certain signed count of real lines on real hypersurfaces of degree 2n - 1 in Pn+1. Contrary to the honest "cardinal" count, it is independent of the choice of a hypersurface a...
Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction
AĞGÜL, MUSTAFA; Kaya Merdan, Songül (Elsevier BV, 2021-02-01)
© 2020 IMACSA defect-deferred correction method, increasing both temporal and spatial accuracy, for fluid-fluid interaction problem with nonlinear interface condition is considered by geometric averaging of the previous tw...
New generalized almost perfect nonlinear functions
Özbudak, Ferruh; Salagean, Ana (2021-02-01)
APN (almost perfect non-linear) functions over finite fields of even characteristic are widely studied due to their applications to the design of symmetric ciphers resistant to differential attacks. This notion was recentl...
Liftable homeomorphisms of cyclic and rank two finite abelian branched covers over the real projective plane
Atalan, Ferihe; Medetogullari, Elif; Ozan, Yıldıray (Elsevier BV, 2021-02-01)
© 2020 Elsevier B.V.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 homeomorp...
Open books decompositions of links of minimally elliptic singularities
Bhupal, Mohan Lal (2021-02-01)
We present an explicit Milnor open book decomposition supporting the canonical contact structure on the link of each minimally elliptic singularity whose fundamental cycle Z satisfies -3 <= Z center dot Z <=-1. For the Mil...
The effect of H2:N2ratio on the NH3synthesis rate and on process economics over the Co3Mo3N catalyst
Aslan, Melis; Hargreaves, Justin S.J.; Üner, Deniz (2021-02-01)
© 2021 The Royal Society of Chemistry.In this study, the process economics of ammonia synthesis over Co3Mo3N was investigated by searching for an optimum feed stoichiometry. From ammonia synthesis rate measurements at atmo...
On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field
Cibik, Aytekin; Eroglu, Fatma G.; Kaya Merdan, Songül (Springer Science and Business Media LLC, 2021-01-01)
© 2021, Springer Science+Business Media, LLC, part of Springer Nature.This paper considers analytically and numerically the curvature-based stabilization method for double-diffusive natural convection flows in the presence...
Order compact and unbounded order compact operators
ERKURŞUN ÖZCAN, NAZİFE; Gezer, Niyazi Anıl; Ozdemir, Saziye Ece; Urganci, Irem Mesude (2021-01-01)
We investigate properties of order compact, unbounded order compact and relatively uniformly compact operators acting on vector lattices. An operator is said to be order compact if it maps an arbitrary order bounded net to...
Hermitian Rank Metric Codes and Duality
La Cruz, Javier De; Evilla, Jorge Robinson; Özbudak, Ferruh (2021-01-01)
In this paper we define and study rank metric codes endowed with a Hermitian form. We analyze the duality for F-q2-linear matrix codes in the ambient space (F-q2)(n,m) and for both F-q2-additive codes and F-q2m-linear code...
Discontinuity, Nonlinearity, and Complexity
Akhmet, Marat; Alejaily, Ejaily Milad (2021-01-01)
© 2021 L&H Scientific Publishing, LLC. All rights reserved.We develop a new definition of fractals which can be considered as an abstraction of the fractals determined through self-similarity. The definition is formulated ...
Geometric Approach to b-Symbol Hamming Weights of Cyclic Codes
Shi, Minjia; Özbudak, Ferruh; Sole, Patrick (2021-01-01)
IEEESymbol-pair codes were introduced by Cassuto and Blaum in 2010 to protect pair errors in symbol-pair read channels. Recently Yaakobi, Bruck and Siegel (2016) generalized this notion to b-symbol codes in order to consid...
Bifurcation Analysis of Wilson-Cowan Model with Singular Impulses
Akhmet, Marat; Çağ, Sabahattin (2021-01-01)
© 2021 L&H Scientific Publishing, LLC. All rights reserved.The paper concerns with Wilson-Cowan neural model. The main novelty of the study is that besides the traditional singularity of the model, we consider singular imp...
Bibounded uo-convergence and b-property in vector lattices
Alpay, Safak; Emelyanov, Eduard; Gorokhova, Svetlana (2021-01-01)
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.We define bidual bounded uo-convergence in vector lattices and investigate relations between this convergence and b-property. We prove that f...
A Brief Note on the Noncoprime Regular Module Problem
Ercan, Gülin; Güloğlu, Ş. (2021-01-01)
© 2021, Springer Science+Business Media, LLC, part of Springer Nature.We consider a special configuration in which a finite group A acts by automorphisms on a finite group G and the semidirect product GA acts on the vector...
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