## Akin, Hasan

Compute Distance To:
 Author ID: akin.hasan Published as: Akin, Hasan; Akın, Hasan; Akin, H. Homepage: https://independent.academia.edu/AkinH/CurriculumVitae External Links: ORCID · Google Scholar · ResearchGate · dblp
 Documents Indexed: 55 Publications since 2003 Reviewing Activity: 203 Reviews Co-Authors: 22 Co-Authors with 43 Joint Publications 236 Co-Co-Authors
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### Co-Authors

 12 single-authored 14 Siap, Irfan 13 Mukhamedov, Farruh Maksutovich 12 Temir, Seyit 10 Uǧuz, Selman 6 Ganikhodjaev, Nasir Nabievich 5 Şah, Ferhat 4 Chang, Chih-Hung 4 Sahin, Uḡur 3 Köroğlu, Mehmet Emin 2 Doğan, Mutlay 2 Rozikov, Utkir A. 1 Abduganiev, Abduaziz 1 Acar, Ecem 1 Ban, Jungchao 1 Cinkir, Zubeyir 1 Dzhalilov, Akhtam Abdurakhmanovich 1 Khakimov, Otabek N. 1 Oğuz, Selman 1 Rakhimov, Abdugafur Abdumadjidovich 1 Redjepov, Shovkat 1 Su, Jing-Yi 1 Temiz, Fatih
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### Serials

 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Journal of Mathematical Analysis and Applications 4 Journal of Statistical Physics 3 Applied Mathematics and Computation 3 Turkish Journal of Mathematics 3 Journal of Statistical Mechanics: Theory and Experiment 3 Journal of Cellular Automata 2 Journal of Computational and Applied Mathematics 2 Applied Mathematical Modelling 2 International Journal of Modern Physics C 1 International Journal of Modern Physics B 1 Computers & Mathematics with Applications 1 Information Processing Letters 1 Journal of the Franklin Institute 1 Theoretical and Mathematical Physics 1 Colloquium Mathematicum 1 Information Sciences 1 Proceedings of the American Mathematical Society 1 Complex Systems 1 Linear Algebra and its Applications 1 General Mathematics 1 Journal of Difference Equations and Applications 1 Methods of Functional Analysis and Topology 1 Mathematical Physics, Analysis and Geometry 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Entropy 1 Journal of Concrete and Applicable Mathematics 1 Cubo 1 Proceedings of the Steklov Institute of Mathematics 1 European Journal of Pure and Applied Mathematics 1 TWMS Journal of Pure and Applied Mathematics 1 Arabian Journal for Science and Engineering
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### Fields

 31 Dynamical systems and ergodic theory (37-XX) 18 Computer science (68-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Measure and integration (28-XX) 7 Operator theory (47-XX) 5 Functional analysis (46-XX) 4 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Combinatorics (05-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX)

### Citations contained in zbMATH Open

39 Publications have been cited 212 times in 107 Documents Cited by Year
On cellular automata over Galois rings. Zbl 1184.68342
Akın, Hasan; Siap, Irfan
2007
On infinite dimensional quadratic Volterra operators. Zbl 1121.47065
Mukhamedov, Farruh; Akin, Hasan; Temir, Seyit
2005
The $$p$$-adic Potts model on the Cayley tree of order three. Zbl 1286.82004
Mukhamedov, F.; Akin, H.
2013
Reversibility of 1D cellular automata with periodic boundary over finite fields $${\mathbb{Z}}_{p}$$. Zbl 1219.68119
Cinkir, Zubeyir; Akin, Hasan; Siap, Irfan
2011
On the ergodic principle for Markov and quadratic stochastic processes and its relations. Zbl 1096.60038
Ganikhodjaev, Nasir; Akin, Hasan; Mukhamedov, Farrukh
2006
Structure and reversibility of 2D hexagonal cellular automata. Zbl 1236.68191
Siap, Irfan; Akin, Hasan; Uğuz, Selman
2011
Characterization of two-dimensional cellular automata over ternary fields. Zbl 1227.68076
Siap, Irfan; Akin, Hasan; Sah, Ferhat
2011
On the measure entropy of additive cellular automata $$f_\infty$$. Zbl 1062.37005
Akın, Hasan
2003
Conjugations between circle maps with a single break point. Zbl 1209.37049
Dzhalilov, Akhtam; Akin, Hasan; Temir, Seyit
2010
On the directional entropy of $$\mathbb Z^2$$-actions generated by additive cellular automata. Zbl 1078.37009
Akin, Hasan
2005
Reversibility algorithms for 3-state hexagonal cellular automata with periodic boundaries. Zbl 1272.37010
Uguz, Selman; Akin, Hasan; Siap, Irfan
2013
Garden of Eden configurations for 2-D cellular automata with rule 2460 N. Zbl 1206.68205
Şiap, Irfan; Akin, Hasan; Şah, Ferhat
2010
The topological entropy of invertible cellular automata. Zbl 1135.37008
Akın, Hasan
2008
On non-Archimedean recurrence equations and their applications. Zbl 1303.39011
Mukhamedov, Farrukh; Akın, Hasan
2015
Self-replicating patterns in 2D linear cellular automata. Zbl 1284.37010
Uguz, Selman; Sahin, Uḡur; Akin, Hasan; Siap, Irfan
2014
On quantum quadratic operators of $$\mathbb M_2(\mathbb C)$$ and their dynamics. Zbl 1210.47081
Mukhamedov, Farrukh; Akın, Hasan; Temir, Seyit; Abduganiev, Abduaziz
2011
A new set of limiting Gibbs measures for the Ising model on a Cayley tree. Zbl 1211.82010
Akin, H.; Rozikov, U. A.; Temir, S.
2011
The transition rules of 2d linear cellular automata over ternary field and self-replicating patterns. Zbl 1309.37020
Sahin, Uḡur; Uguz, Selman; Akin, Hasan
2015
The topological entropy of $$n$$th iteration of an additive cellular automata. Zbl 1330.37010
Akın, Hasan
2006
On stability properties of positive contractions of $$L^1$$-spaces associated with finite von Neumann algebras. Zbl 1121.47004
Mukhamedov, Farrukh; Akin, Hasan; Temir, Seyit
2006
Structure and reversibility of 2D von Neumann cellular automata over triangular lattice. Zbl 1370.37025
Uguz, Selman; Redjepov, Shovkat; Acar, Ecem; Akin, Hasan
2017
On 1D reversible cellular automata with reflective boundary over the prime field of order $$p$$. Zbl 1275.68098
Akin, Hasan; Sah, Ferhat; Siap, Irfan
2012
A note on dominant contractions of Jordan algebras. Zbl 1185.47011
Mukhamedov, Farrukh; Temir, Seyit; Akın, Hasan
2010
Upper bound of the directional entropy of a $$\mathbb Z^2$$-action. Zbl 1271.37015
Akin, Hasan
2011
The reversibility problem for a family of two-dimensional cellular automata. Zbl 1424.37006
Köroğlu, Mehmet Emin; Şiap, İrfan; Akin, Hasan
2016
On the topological directional entropy. Zbl 1162.37006
Akın, Hasan
2009
On the quantitative behavior of the linear cellular automata. Zbl 1280.37011
Akın, Hasan; Ban, Jung-Chao; Chang, Chih-Hung
2013
Modulated phase of a Potts model with competing binary interactions on a Cayley tree. Zbl 1198.82014
Ganikhodjaev, N.; Temir, S.; Akin, H.
2009
Potts model with two competing binary interactions. Zbl 1132.82005
Ganikhodjaev, Nasir; Akin, Hasan; Temir, Seyit
2007
The measure-theoretic entropy of linear cellular automata with respect to a Markov measure. Zbl 1232.28017
Akin, Hasan
2012
Exact solution of a generalized ANNNI model on a Cayley tree. Zbl 1304.82016
Rozikov, U. A.; Akin, H.; Uğuz, S.
2014
Three-state von Neumann cellular automata and pattern generation. Zbl 1443.37014
Sahin, Ugur; Uguz, Selman; Akın, Hasan; Siap, Irfan
2015
2-D reversible cellular automata with nearest and prolonged next nearest neighborhoods under periodic boundary. Zbl 1389.37008
Şiap, Irfan; Akın, Hasan; Oğuz, Selman
2013
Error correcting codes via reversible cellular automata over finite fields. Zbl 1391.94847
Koroglu, Mehmet E.; Siap, Irfan; Akın, Hasan
2014
An upper bound of the directional entropy with respect to the Markov measures. Zbl 1258.37005
Akin, Hasan
2012
On the ergodic properties of certain additive cellular automata over $$\mathbb Z_{m}$$. Zbl 1103.37007
Akin, Hasan
2005
Phase transitions for $$p$$-adic Potts model on the Cayley tree of order three. Zbl 1456.82825
Mukhamedov, Farrukh; Akın, Hasan
2013
Reversibility problem of multidimensional finite cellular automata. Zbl 1457.37015
Chang, Chih-Hung; Su, Jing-Yi; Akın, Hasan; Şah, Ferhat
2017
The reversibility of $$(2r + 1)$$-cyclic rule cellular automata. Zbl 1298.68185
Siap, I.; Akin, H.; Koroglu, M. E.
2013
Structure and reversibility of 2D von Neumann cellular automata over triangular lattice. Zbl 1370.37025
Uguz, Selman; Redjepov, Shovkat; Acar, Ecem; Akin, Hasan
2017
Reversibility problem of multidimensional finite cellular automata. Zbl 1457.37015
Chang, Chih-Hung; Su, Jing-Yi; Akın, Hasan; Şah, Ferhat
2017
The reversibility problem for a family of two-dimensional cellular automata. Zbl 1424.37006
Köroğlu, Mehmet Emin; Şiap, İrfan; Akin, Hasan
2016
On non-Archimedean recurrence equations and their applications. Zbl 1303.39011
Mukhamedov, Farrukh; Akın, Hasan
2015
The transition rules of 2d linear cellular automata over ternary field and self-replicating patterns. Zbl 1309.37020
Sahin, Uḡur; Uguz, Selman; Akin, Hasan
2015
Three-state von Neumann cellular automata and pattern generation. Zbl 1443.37014
Sahin, Ugur; Uguz, Selman; Akın, Hasan; Siap, Irfan
2015
Self-replicating patterns in 2D linear cellular automata. Zbl 1284.37010
Uguz, Selman; Sahin, Uḡur; Akin, Hasan; Siap, Irfan
2014
Exact solution of a generalized ANNNI model on a Cayley tree. Zbl 1304.82016
Rozikov, U. A.; Akin, H.; Uğuz, S.
2014
Error correcting codes via reversible cellular automata over finite fields. Zbl 1391.94847
Koroglu, Mehmet E.; Siap, Irfan; Akın, Hasan
2014
The $$p$$-adic Potts model on the Cayley tree of order three. Zbl 1286.82004
Mukhamedov, F.; Akin, H.
2013
Reversibility algorithms for 3-state hexagonal cellular automata with periodic boundaries. Zbl 1272.37010
Uguz, Selman; Akin, Hasan; Siap, Irfan
2013
On the quantitative behavior of the linear cellular automata. Zbl 1280.37011
Akın, Hasan; Ban, Jung-Chao; Chang, Chih-Hung
2013
2-D reversible cellular automata with nearest and prolonged next nearest neighborhoods under periodic boundary. Zbl 1389.37008
Şiap, Irfan; Akın, Hasan; Oğuz, Selman
2013
Phase transitions for $$p$$-adic Potts model on the Cayley tree of order three. Zbl 1456.82825
Mukhamedov, Farrukh; Akın, Hasan
2013
The reversibility of $$(2r + 1)$$-cyclic rule cellular automata. Zbl 1298.68185
Siap, I.; Akin, H.; Koroglu, M. E.
2013
On 1D reversible cellular automata with reflective boundary over the prime field of order $$p$$. Zbl 1275.68098
Akin, Hasan; Sah, Ferhat; Siap, Irfan
2012
The measure-theoretic entropy of linear cellular automata with respect to a Markov measure. Zbl 1232.28017
Akin, Hasan
2012
An upper bound of the directional entropy with respect to the Markov measures. Zbl 1258.37005
Akin, Hasan
2012
Reversibility of 1D cellular automata with periodic boundary over finite fields $${\mathbb{Z}}_{p}$$. Zbl 1219.68119
Cinkir, Zubeyir; Akin, Hasan; Siap, Irfan
2011
Structure and reversibility of 2D hexagonal cellular automata. Zbl 1236.68191
Siap, Irfan; Akin, Hasan; Uğuz, Selman
2011
Characterization of two-dimensional cellular automata over ternary fields. Zbl 1227.68076
Siap, Irfan; Akin, Hasan; Sah, Ferhat
2011
On quantum quadratic operators of $$\mathbb M_2(\mathbb C)$$ and their dynamics. Zbl 1210.47081
Mukhamedov, Farrukh; Akın, Hasan; Temir, Seyit; Abduganiev, Abduaziz
2011
A new set of limiting Gibbs measures for the Ising model on a Cayley tree. Zbl 1211.82010
Akin, H.; Rozikov, U. A.; Temir, S.
2011
Upper bound of the directional entropy of a $$\mathbb Z^2$$-action. Zbl 1271.37015
Akin, Hasan
2011
Conjugations between circle maps with a single break point. Zbl 1209.37049
Dzhalilov, Akhtam; Akin, Hasan; Temir, Seyit
2010
Garden of Eden configurations for 2-D cellular automata with rule 2460 N. Zbl 1206.68205
Şiap, Irfan; Akin, Hasan; Şah, Ferhat
2010
A note on dominant contractions of Jordan algebras. Zbl 1185.47011
Mukhamedov, Farrukh; Temir, Seyit; Akın, Hasan
2010
On the topological directional entropy. Zbl 1162.37006
Akın, Hasan
2009
Modulated phase of a Potts model with competing binary interactions on a Cayley tree. Zbl 1198.82014
Ganikhodjaev, N.; Temir, S.; Akin, H.
2009
The topological entropy of invertible cellular automata. Zbl 1135.37008
Akın, Hasan
2008
On cellular automata over Galois rings. Zbl 1184.68342
Akın, Hasan; Siap, Irfan
2007
Potts model with two competing binary interactions. Zbl 1132.82005
Ganikhodjaev, Nasir; Akin, Hasan; Temir, Seyit
2007
On the ergodic principle for Markov and quadratic stochastic processes and its relations. Zbl 1096.60038
Ganikhodjaev, Nasir; Akin, Hasan; Mukhamedov, Farrukh
2006
The topological entropy of $$n$$th iteration of an additive cellular automata. Zbl 1330.37010
Akın, Hasan
2006
On stability properties of positive contractions of $$L^1$$-spaces associated with finite von Neumann algebras. Zbl 1121.47004
Mukhamedov, Farrukh; Akin, Hasan; Temir, Seyit
2006
On infinite dimensional quadratic Volterra operators. Zbl 1121.47065
Mukhamedov, Farruh; Akin, Hasan; Temir, Seyit
2005
On the directional entropy of $$\mathbb Z^2$$-actions generated by additive cellular automata. Zbl 1078.37009
Akin, Hasan
2005
On the ergodic properties of certain additive cellular automata over $$\mathbb Z_{m}$$. Zbl 1103.37007
Akin, Hasan
2005
On the measure entropy of additive cellular automata $$f_\infty$$. Zbl 1062.37005
Akın, Hasan
2003
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### Cited by 99 Authors

 28 Mukhamedov, Farruh Maksutovich 24 Akin, Hasan 11 Siap, Irfan 9 Khakimov, Otabek N. 8 Chang, Chih-Hung 8 Uǧuz, Selman 6 Rozikov, Utkir A. 6 Saburov, Mansoor 5 Embong, Ahmad Fadillah 4 Akhadkulov, Habibulla 4 Noorani, Mohd Salmi Mohd 4 Pułka, Małgorzata 4 Rahmatullaev, Muzaffar 4 Şah, Ferhat 3 Ahmad, Mohd Ali Khameini 3 Dzhalilov, Akhtam Abdurakhmanovich 3 Jamilov, Uygun U. 3 Sahin, Uḡur 2 Abduganiev, Abduaziz 2 Acar, Ecem 2 Adouani, Abdelhamid 2 Bartoszek, Krzysztof 2 De Baets, Bernard 2 Dziemiańczuk, Maciej 2 Ganikhodjaev, Nasir Nabievich 2 Ganikhodzhaev, Rasul N. 2 Köroğlu, Mehmet Emin 2 Mayer, Dieter H. 2 Saburov, Mansur Kh. 2 Scheutzow, Michael K. R. 2 Shahidi, Farruh 2 Su, Jing-Yi 2 Wolnik, Barbara 1 Adachi, Susumu 1 Akhatkulov, Sokhobiddin 1 Augustynowicz, Antoni 1 Azamov, Sh. Kh. 1 Ban, Jungchao 1 Bartoszek, Wojciech 1 Begmatov, Abdumajid S. 1 Bekbaev, Dilmurod 1 Blath, Jochen 1 Botirov, Golibjon I. 1 Candan, Tuncay 1 Casas Miras, José Manuel 1 Chang, Huilan 1 Chen, Yuwen 1 Cinkir, Zubeyir 1 Cui, Hongfei 1 Deng, Peimin 1 Ding, Yiming 1 Doğan, Mutlay 1 Domsta, Joachim 1 Dragovich, Branko 1 Dutkay, Dorin Ervin 1 Feng, Lihua 1 Gandolfo, Daniel 1 Ganiev, Inomjon 1 He, Lianfa 1 Hernández Serrano, Daniel 1 Hong, Weihu 1 Jeganathan, L. 1 Jørgensen, Palle E. T. 1 Khakimov, O. Kh. 1 Khrennikov, Andreĭ Yur’evich 1 Kozyrev, Sergeĭ Vladimirovich 1 Ladra González, Manuel 1 Lee, Jia 1 Liao, Lingmin 1 Lindahl, Karl-Olof 1 Lu, Jinfeng 1 Marzougui, Habib 1 Mathew, Tessy 1 Mukhitdinov, R. T. 1 Nordqvist, Jonas 1 Rafikov, F. K. 1 Rao, U. Srinivasa 1 Redjepov, Shovkat 1 Rejpedov, Shovkat 1 Ren, YunLi 1 Rodzhan, Mohd Hirzie Bin Mohd 1 Ruiz, Jean 1 Sattarov, Iskandar A. 1 Supar, Nurul Akma 1 Temir, Seyit 1 Tukhtabaev, Akbarkhuja 1 Tukhtaboev, A. M. 1 Ufuktepe, Ünal 1 Volovich, Igor’ Vasil’evich 1 Wilke-Berenguer, Maite 1 Xia, Yunni 1 Xiang, Aiyun 1 Yang, Bin 1 Yang, Ya-Chu 1 Yi, Zhong 1 Zelenov, Evgenii I. 1 Zhai, Ying 1 Zheng, Guoping 1 Zhu, Qingsheng
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### Cited in 53 Serials

 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Journal of Statistical Physics 5 Information Sciences 5 Ergodic Theory and Dynamical Systems 4 Linear Algebra and its Applications 4 Positivity 3 Applied Mathematics and Computation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Mathematical Physics, Analysis and Geometry 2 Journal of Mathematical Analysis and Applications 2 Theoretical and Mathematical Physics 2 Chaos, Solitons and Fractals 2 Journal of Computational and Applied Mathematics 2 Applied Mathematical Modelling 2 Discrete and Continuous Dynamical Systems 2 Abstract and Applied Analysis 2 Open Systems & Information Dynamics 2 International Journal of Modern Physics C 2 Banach Journal of Mathematical Analysis 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Information Processing Letters 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Nonlinearity 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Acta Mathematica Hungarica 1 Indagationes Mathematicae. New Series 1 Turkish Journal of Mathematics 1 Fractals 1 Journal of Difference Equations and Applications 1 Taiwanese Journal of Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Chaos 1 Revista Matemática Complutense 1 Qualitative Theory of Dynamical Systems 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Dynamical Systems 1 Entropy 1 Advances in Difference Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Cellular Automata 1 Science China. Mathematics 1 Eurasian Mathematical Journal 1 Arabian Journal for Science and Engineering 1 Journal of Mathematics 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications
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### Cited in 30 Fields

 53 Dynamical systems and ergodic theory (37-XX) 25 Operator theory (47-XX) 24 Computer science (68-XX) 19 Probability theory and stochastic processes (60-XX) 18 Statistical mechanics, structure of matter (82-XX) 14 Combinatorics (05-XX) 11 Functional analysis (46-XX) 9 Measure and integration (28-XX) 6 Quantum theory (81-XX) 6 Biology and other natural sciences (92-XX) 5 Number theory (11-XX) 5 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Integral equations (45-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)