Department of Mathematics, Article

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Recent Submissions

Special divisors on real trigonal curves Akyar, Turgay (2025-10-01)
Linearly implicit methods for the nonlinear Klein–Gordon equation Uzunca, Murat; Karasözen, Bülent (2025-05-01) We present energy-preserving linearly implicit integrators for the nonlinear Klein–Gordon equation, based on the polarization of the polynomial functions. They are symmetric, second-order accurate in time and space, and un...
Alpha Unpredictable Cohen–Grossberg Neural Networks with Poisson Stable Piecewise Constant Arguments Akhmet, Marat; Nugayeva, Zakhira; Seilova, Roza (2025-04-01) There are three principal novelties in the present investigation. It is the first time Cohen–Grossberg-type neural networks are considered with the most general delay and advanced piecewise constant arguments. The model is...
On vibrational levels of the Deng-Fan molecular potential Alıcı, Haydar; Ulusoy, S. (2025-04-01) In this study, we obtained the exact analytical eigenpairs of the Schr & ouml;dinger equation with the Deng-Fan molecular potential in the absence of the centrifugal term & ell;(& ell; + 1)/r2. In the presence of the centr...
Limit groups and automorphisms of κ-existentially closed groups Kaya, Burak; Kuzucuoğlu, Mahmut; Longobardi, Patrizia; Maj, Mercede (2025-03-15) The structure of automorphism groups of κ-existentially closed groups has been studied by Kaya-Kuzucuoğlu in 2022. It was proved that Aut(G) is the union of subgroups of level preserving automorphisms and |Aut(G)|=2κ whene...
Sections of rational elliptic Lefschetz fibrations Bhupal, Mohan; Finashin, Sergey (2025-03-01) We give a list of monodromy factorizations in the pure mapping class group $Mod(T_{d+1})$ of a torus with d+1 marked points that represent lines on a del Pezzo surface Y of degree $d\le4$. These factorizations are lifts ...
Congruence invariants of matrix mutation Seven, Ahmet İrfan; Ünal, İbrahim (2025-03-01) Motivated by the recent work of R. Casals on binary invariants for matrix mutation, we study the matrix congruence relation on quasi-Cartan matrices. In particular, we obtain a classification and determine normal forms mod...
Shifted Contact Structures and Their Local Theory Berktav, Kadri İlker (Cellule MathDoc/Centre Mersenne, 2025-2-3) In this paper, we formally define k-shifted contact structures on derived (Artin) stacks and study their local properties in the context of derived alge- braic geometry. In this regard, for k-shifted contact derived K-sche...
Optimal Control problems of NS-α and NS-ωturbulencemodels: analysis and numerical tests Hacat, Gulnur; Cibik, Aytekin; YILMAZ, FİKRİYE NURAY; Kaya Merdan, Songül (2025-01-30) In this study, optimal control problems for the Navier-Stokes-alpha(NS-alpha) model andthe Navier-Stokes-omega(NS-omega) model are considered. Optimality conditions are derived,and semi-discrete a priori error estimates fo...
Rational blowdown graphs for symplectic fillings of lens spaces Bhupal, Mohan Lal; Ozbagci, Burak (2025-01-01) In a previous work, we proved that each minimal symplectic filling of any oriented lens space, viewed as the singularity link of some cyclic quotient singularity and equipped with its canonical contact structure, can be ob...
LOCO Codes Can Correct as Well: Error-Correction Constrained Coding for DNA Data Storage İrimağzı, Canberk; Hareedy, Ahmed (2025-01-01) As a medium for cold data storage, DNA stands out as it promises significant gains in storage capacity and lifetime. However, it comes with its own data processing challenges to overcome. Constrained codes over the DNA alp...
Generators of the mapping class group of a nonorientable punctured surface Altunöz, Tülin; Pamuk, Mehmetcik; Yıldız, Oguz (2025-01-01) Let Mod(Ng,p) denote the mapping class group of a nonorientable surface of genus g with p punctures. For g ≥ 14, we show that Mod(Ng,p) can be generated by five elements or by six involutions.
On the Jacobian Matrices of Generalized Chebyshev Polynomials İleri, Ahmet; Küçüksakallı, Ömer (2025-01-01) We give a practical method to compute the Jacobian matrices of generalized Chebyshev polynomials associated to arbitrary semisimple Lie algebras. The entries of each Jacobian matrix can be expressed as a linear combination...
Changes in microplastic-associated bacterial communities along a salinity gradient in Central Anatolian lakes of Türkiye Gökdağ, Kerem; Pekmez, Tülay; AKCA, GÜLÇİN; Korkmaz, Mustafa; Pacheco, Juan Pablo; Başaran Kankılıç, Gökben; Dede, Cemreay; Özkan, Korhan; Beklioğlu, Meryem; Jeppesen, Erik; Akyürek, Sevda Zuhal; Tavşanoğlu, Ülkü Nihan (2025-01-01) Lakes face anthropogenic stressors such as climate change, salinization, and eutrophication, and microplastics (MPs) now emerge as a new concern since they act as vectors for pathogenic bacteria, giving rise to concern abo...
On non-abelian strongly real Beauville p-groups Gül Erdem, Şükran (2025-01-01) We give an infinite family of non-abelian strongly real Beauville p-groups for any odd prime p by considering the lower central quotients of the free product of two cyclic groups of order p.
Elementary Methods for Persistent Homotopy Groups Adams, Henry; Batan, Mehmet Alі; Pamuk, Mehmetcik; Varlı, Hanіfe (2025-01-01) We study the foundational properties of persistent homotopy groups and develop elementary computational methods for their analysis. Our main theorems are persistent analogues of the Van Kampen, excision, suspension, and Hu...
Observations on NIST SP 800-90B entropy estimators Aslan, Melis; Doğanaksoy, Ali; Saygı, Zülfükar; Sönmez Turan, Meltem; Sulak, Fatih (2025-01-01) Random numbers play a crucial role in cryptography since the security of cryptographic protocols relies on the assumption of the availability of uniformly distributed and unpredictable random numbers to generate secret key...
New q-ary quantum MDS codes of length strictly larger than q+1 Kırcalı, Mustafa; Özbudak, Ferruh (2024-12-01) Quantum information and quantum computation have become a hot topic in recent decades. Quantum error-correcting codes are useful and have many applications in quantum computations and quantum communications. We construct a...
On the Arabic Translations of Eutocius’ Commentary on Book II of Archimedes’ Sphere and Cylinder Coşkun, Emre (2024-12-01) In the 9th century, parts of Eutocius’ commentary on Book II of Archimedes’ Sphere and Cylinder were translated into Arabic. Most extant manuscripts of these trans- lations contain only fragments. However, one manuscript, ...
Some special coprime actions and their consequences Ercan, Gülin; Güloğlu, İsmaı̇l Ş.; Kizmaz, M. Yası̇r; Revin, Danila O. (2024-12-01) Let a group A act on the group G coprimely. Suppose that the order of the fixed point subgroup CG(A) is not divisible by an arbitrary but fixed prime p. In the present paper we determine bounds for the p-length of the grou...

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