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Recent Submissions

AMOEBA MEASURES OF RANDOM PLANE CURVES Kişisel, Ali Ulaş Özgür; Welschinger, Jean-Uves (2026-01-28) We prove that the expected area of the amoeba of a complex plane curve of degree d is less than 3 ln(d)(2)/2 + 9 ln(d) + 9 and once rescaled by ln(d)(2), is asymptotically bounded from below by 3/4. In order to get this lo...
Cryptographic Randomness Testing of Block Ciphers: SAC Tests Aslan, Melis; Doğanaksoy, Ali; Kocaman, Sermin; Saygi, Zülfükar; Sulak, Fatih (2026-01-01) Block ciphers are designed to function as random mappings, making it essential for them to successfully pass statistical randomness tests. These tests evaluate whether the distribution of a test statistic, derived empirica...
A Recursive Formula for the Height of a Random Walk Uğuz, Muhiddin (2026-01-01) The height of a binary sequence serves as a metric that captures the randomness of a sequence. In this work, the height of a finite binary sequence, which was a missing random variable in the recent work published at SETA ...
RW-9: A family of random walk tests Uğuz, Muhiddin; SULAK, FATİH; Doğanaksoy, Ali; Kocak, Onur (2025-12-29) In this work, we define a family of nine statistical randomness tests for collections of short binary strings, by making use of random walk statistics. For a binary sequence of length \documentclass[12pt]{minimal} \usepack...
EQUIVARIANT Q-SLICENESS OF STRONGLY INVERTIBLE KNOTS Di Prisa, Alessio; Şavk, Oğuz (2025-12-23) We introduce and study the notion of equivariant Q-sliceness for strongly invertible knots. On the constructive side, we prove that every Klein amphichiral knot, which is a strongly invertible knot admitting a compatible n...
On shifted contact derived Artin stacks Berktav, Kadri İlker (2025-11-01) This is a sequel of [2] on the development of derived contact geometry. In [2], we formally introduced shifted contact structures on derived stacks. We then gave a Darboux-type theorem and the notion of symplectification o...
Special divisors on real trigonal curves Akyar, Turgay (2025-10-01)
Pencils of curves with 4 or 6 Conic-Line Curves Suluyer, Hasan (2025-09-01) Apencilof degreed >2curves is a line in the projective space of all homogeneous polynomials inℂ[x0,x1,x2]of degreed. Thek >2curves whose irreducible components are only lines in some pencil of degreedcurves play an i...
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...
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...
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 ...
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...
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...
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.
Ultra Poincaré Chaos and Alpha Labeling Akhmet, Marat (Iop Publishing Ltd, 2025-01-01)
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...

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