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Adlene Ayadi

Observed names: ADLENE AYADI, AYADI, ADLENE, Adlene, Ayadi, Ayadi Adlene, Ayadi, Adlene, ayadi, Adlene
ORCID: 0000-0002-9717-3092
Observed ORCID: 0000-0002-9717-3092
OpenAlex ID: A5033715653
DENSE ORBITS FOR ABELIAN SUBGROUPS OF GL(n, ℂ)
2006 · ADLENE AYADI, HABIB MARZOUGUI · International Conference on Foliations (Foliations) · 26
Abelian Semigroups of Matrices on ℂnand Hypercyclicity
2013 · Adlene Ayadi, Habib Marzougui · Proceedings of the Edinburgh Mathematical Society · 10
Dynamic of Abelian Subgroups of GL(n, $$\mathbb{C}$$ ): A Structure Theorem
2005 · Adlene Ayadi, Habib Marzougui · Geometriae Dedicata · 9
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Hypercyclic abelian subgroups of GL(n, ℝ)
2011 · Adlene Ayadi, Habib Marzougui, et al. · The Journal of Difference Equations and Applications · 8
Hypercyclic abelian semigroup of matrices on Cn and Rn and k-transitivity (k ≥ 2)
2013 · Adlene Ayadi · Applied General Topology · 7
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DYNAMIC OF ABELIAN SUBGROUPS OF GL(n, C): A STRUCTURE'S THEOREM
2005 · Adlene Ayadi, Habib Marzougui · 7
Hypercyclic abelian semigroups of matrices on Rn
2016 · Adlene Ayadi, Habib Marzougui · Topology and its Applications · 6
Hypercyclic Abelian Groups of Affine Maps on ℂn
2012 · Adlene Ayadi · Canadian Mathematical Bulletin · 3
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Corrigendum to “Hypercyclic abelian semigroups of matrices on R n ” [Topol. Appl. 210 (2016) 29–45]
2020 · Adlene Ayadi, Habib Marzougui · Topology and its Applications · 2
J-class abelian semigroups of matrices on $$\mathbb{C }^{n}$$ and hypercyclicity
2013 · Adlene Ayadi, Habib Marzougui · Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas · 2
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Hypercyclic Abelian Affine Groups
2010 · Ayadi, Adlene · arXiv (Cornell University) · 2
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Hypercyclic Abelian Semigroups of Matrices on Rn
2010 · Adlene Ayadi, Habib Marzougui · arXiv (Cornell University) · 2
Algorithm testing for the hypercyclicity of finitely abelian subgroups of GL(n, ℂ)
2016 · Mohamed Elghaoui, Adlene Ayadi · Operators and Matrices · 1
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Rational criterion testing the density of additive subgroups of R^n and C^n
2015 · Mohamed Elghaoui, Adlene Ayadi · Applied General Topology · 1
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On multi-hypercyclic abelian semigroups of matrices on $\mathbb{R}^{n}$
2014 · Adlene Ayadi, Habib Marzougui · Journal of Operator Theory · 1
Chaoticity and regular action of diffeomorphisms group of K^n
2012 · Yahya N'Dao, Ayadi Adlene · arXiv (Cornell University) · 1
Action of Non Abelian Group Generated by Affine Homotheties on R^n
2010 · Ayadi, Adlene, N'Dao, Yahya · arXiv (Cornell University) · 1
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A Constructive Approach to the Infinitude of Mersenne Primes
2026 · ayadi, Adlene, N'dao, Yahya · Zenodo (CERN European Organization for Nuclear Research)
Proving P= NP by Building Polynomial-Sized Certificates
2026 · AYADI, ADLENE, N'DAO, YAHYA · Zenodo (CERN European Organization for Nuclear Research)
On the Infinitude of Primes of the Form a^2+1
2025 · N'DAO, YAHYA, AYADI, ADLENE · Zenodo (CERN European Organization for Nuclear Research)
Propagation of Zero-Free Regions for the Riemann Hypothesis
2025 · AYADI, ADLENE, N'DAO, YAHYA · Zenodo (CERN European Organization for Nuclear Research)
Infinitely Many Twin Primes via Recursive Construction: We present a recursive construction based on products of odd prime numbers to study the distribution of twin primes. For each integer n \ge 1, we define the minimal odd integer a_n>1 such that a_n(a_n+2) is coprime with the product p_2...... p_n of the first n odd primes. We show that either all primes dividing p_2........p_n are adjacent to a twin prime pair, or a new twin prime pair appears within a controlled interval around a_n. A key ingredient is the Baker–Harman–Pintz bound on gaps between consecutive primes, which prevents large primes from being too isolated. As a consequence, we establish the existence of infinitely many twin primes, thereby resolving the twin prime conjecture.
2025 · N'Dao, Yahya, Ayadi, Adlene · HAL
Minimality and non-existence of non-zero finite orbits for abelian linear semigroups
2024 · Adlene Ayadi, Habib Marzougui · Proceedings - Mathematical Sciences
Formulaic Insights on Counting Twin Primes
2024 · N'Dao, Yahya, Ayadi, Adlene · HAL
Generalization of isomorphism theorems groups to Partial groups
2013 · N'Dao, Yahya, Ayadi, Adlene · arXiv (Cornell University)
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Works count: 52
Citation count: 89
H-index: 6
I10-index: 2
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