Edit Profile (opens in new tab) Akin, Hasan Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1184.68342Akın, Hasan; Siap, Irfan 15 2007 On infinite dimensional quadratic Volterra operators. Zbl 1121.47065Mukhamedov, Farruh; Akin, Hasan; Temir, Seyit 13 2005 The \(p\)-adic Potts model on the Cayley tree of order three. Zbl 1286.82004Mukhamedov, F.; Akin, H. 12 2013 Reversibility of 1D cellular automata with periodic boundary over finite fields \({\mathbb{Z}}_{p}\). Zbl 1219.68119Cinkir, Zubeyir; Akin, Hasan; Siap, Irfan 12 2011 On the ergodic principle for Markov and quadratic stochastic processes and its relations. Zbl 1096.60038Ganikhodjaev, Nasir; Akin, Hasan; Mukhamedov, Farrukh 11 2006 Structure and reversibility of 2D hexagonal cellular automata. Zbl 1236.68191Siap, Irfan; Akin, Hasan; Uğuz, Selman 10 2011 Characterization of two-dimensional cellular automata over ternary fields. Zbl 1227.68076Siap, Irfan; Akin, Hasan; Sah, Ferhat 10 2011 On the measure entropy of additive cellular automata \(f_\infty\). Zbl 1062.37005Akın, Hasan 10 2003 Conjugations between circle maps with a single break point. Zbl 1209.37049Dzhalilov, Akhtam; Akin, Hasan; Temir, Seyit 9 2010 On the directional entropy of \(\mathbb Z^2\)-actions generated by additive cellular automata. Zbl 1078.37009Akin, Hasan 9 2005 Reversibility algorithms for 3-state hexagonal cellular automata with periodic boundaries. Zbl 1272.37010Uguz, Selman; Akin, Hasan; Siap, Irfan 8 2013 Garden of Eden configurations for 2-D cellular automata with rule 2460 N. Zbl 1206.68205Şiap, Irfan; Akin, Hasan; Şah, Ferhat 8 2010 The topological entropy of invertible cellular automata. Zbl 1135.37008Akın, Hasan 7 2008 On non-Archimedean recurrence equations and their applications. Zbl 1303.39011Mukhamedov, Farrukh; Akın, Hasan 7 2015 Self-replicating patterns in 2D linear cellular automata. Zbl 1284.37010Uguz, Selman; Sahin, Uḡur; Akin, Hasan; Siap, Irfan 6 2014 On quantum quadratic operators of \(\mathbb M_2(\mathbb C)\) and their dynamics. Zbl 1210.47081Mukhamedov, Farrukh; Akın, Hasan; Temir, Seyit; Abduganiev, Abduaziz 6 2011 A new set of limiting Gibbs measures for the Ising model on a Cayley tree. Zbl 1211.82010Akin, H.; Rozikov, U. A.; Temir, S. 6 2011 The transition rules of 2d linear cellular automata over ternary field and self-replicating patterns. Zbl 1309.37020Sahin, Uḡur; Uguz, Selman; Akin, Hasan 5 2015 The topological entropy of \(n\)th iteration of an additive cellular automata. Zbl 1330.37010Akın, Hasan 4 2006 On stability properties of positive contractions of \(L^1\)-spaces associated with finite von Neumann algebras. Zbl 1121.47004Mukhamedov, Farrukh; Akin, Hasan; Temir, Seyit 4 2006 Structure and reversibility of 2D von Neumann cellular automata over triangular lattice. Zbl 1370.37025Uguz, Selman; Redjepov, Shovkat; Acar, Ecem; Akin, Hasan 4 2017 On 1D reversible cellular automata with reflective boundary over the prime field of order \(p\). Zbl 1275.68098Akin, Hasan; Sah, Ferhat; Siap, Irfan 3 2012 A note on dominant contractions of Jordan algebras. Zbl 1185.47011Mukhamedov, Farrukh; Temir, Seyit; Akın, Hasan 3 2010 Upper bound of the directional entropy of a \(\mathbb Z^2\)-action. Zbl 1271.37015Akin, Hasan 3 2011 The reversibility problem for a family of two-dimensional cellular automata. Zbl 1424.37006Köroğlu, Mehmet Emin; Şiap, İrfan; Akin, Hasan 3 2016 On the topological directional entropy. Zbl 1162.37006Akın, Hasan 3 2009 On the quantitative behavior of the linear cellular automata. Zbl 1280.37011Akın, Hasan; Ban, Jung-Chao; Chang, Chih-Hung 2 2013 Modulated phase of a Potts model with competing binary interactions on a Cayley tree. Zbl 1198.82014Ganikhodjaev, N.; Temir, S.; Akin, H. 2 2009 Potts model with two competing binary interactions. Zbl 1132.82005Ganikhodjaev, Nasir; Akin, Hasan; Temir, Seyit 2 2007 The measure-theoretic entropy of linear cellular automata with respect to a Markov measure. Zbl 1232.28017Akin, Hasan 2 2012 Exact solution of a generalized ANNNI model on a Cayley tree. Zbl 1304.82016Rozikov, U. A.; Akin, H.; Uğuz, S. 2 2014 Three-state von Neumann cellular automata and pattern generation. Zbl 1443.37014Sahin, Ugur; Uguz, Selman; Akın, Hasan; Siap, Irfan 2 2015 2-D reversible cellular automata with nearest and prolonged next nearest neighborhoods under periodic boundary. Zbl 1389.37008Şiap, Irfan; Akın, Hasan; Oğuz, Selman 2 2013 Error correcting codes via reversible cellular automata over finite fields. Zbl 1391.94847Koroglu, Mehmet E.; Siap, Irfan; Akın, Hasan 2 2014 An upper bound of the directional entropy with respect to the Markov measures. Zbl 1258.37005Akin, Hasan 1 2012 On the ergodic properties of certain additive cellular automata over \(\mathbb Z_{m}\). Zbl 1103.37007Akin, Hasan 1 2005 Phase transitions for \(p\)-adic Potts model on the Cayley tree of order three. Zbl 1456.82825Mukhamedov, Farrukh; Akın, Hasan 1 2013 Reversibility problem of multidimensional finite cellular automata. Zbl 1457.37015Chang, Chih-Hung; Su, Jing-Yi; Akın, Hasan; Şah, Ferhat 1 2017 The reversibility of \((2r + 1)\)-cyclic rule cellular automata. Zbl 1298.68185Siap, I.; Akin, H.; Koroglu, M. E. 1 2013 Structure and reversibility of 2D von Neumann cellular automata over triangular lattice. Zbl 1370.37025Uguz, Selman; Redjepov, Shovkat; Acar, Ecem; Akin, Hasan 4 2017 Reversibility problem of multidimensional finite cellular automata. Zbl 1457.37015Chang, Chih-Hung; Su, Jing-Yi; Akın, Hasan; Şah, Ferhat 1 2017 The reversibility problem for a family of two-dimensional cellular automata. Zbl 1424.37006Köroğlu, Mehmet Emin; Şiap, İrfan; Akin, Hasan 3 2016 On non-Archimedean recurrence equations and their applications. Zbl 1303.39011Mukhamedov, Farrukh; Akın, Hasan 7 2015 The transition rules of 2d linear cellular automata over ternary field and self-replicating patterns. Zbl 1309.37020Sahin, Uḡur; Uguz, Selman; Akin, Hasan 5 2015 Three-state von Neumann cellular automata and pattern generation. Zbl 1443.37014Sahin, Ugur; Uguz, Selman; Akın, Hasan; Siap, Irfan 2 2015 Self-replicating patterns in 2D linear cellular automata. Zbl 1284.37010Uguz, Selman; Sahin, Uḡur; Akin, Hasan; Siap, Irfan 6 2014 Exact solution of a generalized ANNNI model on a Cayley tree. Zbl 1304.82016Rozikov, U. A.; Akin, H.; Uğuz, S. 2 2014 Error correcting codes via reversible cellular automata over finite fields. Zbl 1391.94847Koroglu, Mehmet E.; Siap, Irfan; Akın, Hasan 2 2014 The \(p\)-adic Potts model on the Cayley tree of order three. Zbl 1286.82004Mukhamedov, F.; Akin, H. 12 2013 Reversibility algorithms for 3-state hexagonal cellular automata with periodic boundaries. Zbl 1272.37010Uguz, Selman; Akin, Hasan; Siap, Irfan 8 2013 On the quantitative behavior of the linear cellular automata. Zbl 1280.37011Akın, Hasan; Ban, Jung-Chao; Chang, Chih-Hung 2 2013 2-D reversible cellular automata with nearest and prolonged next nearest neighborhoods under periodic boundary. Zbl 1389.37008Şiap, Irfan; Akın, Hasan; Oğuz, Selman 2 2013 Phase transitions for \(p\)-adic Potts model on the Cayley tree of order three. Zbl 1456.82825Mukhamedov, Farrukh; Akın, Hasan 1 2013 The reversibility of \((2r + 1)\)-cyclic rule cellular automata. Zbl 1298.68185Siap, I.; Akin, H.; Koroglu, M. E. 1 2013 On 1D reversible cellular automata with reflective boundary over the prime field of order \(p\). Zbl 1275.68098Akin, Hasan; Sah, Ferhat; Siap, Irfan 3 2012 The measure-theoretic entropy of linear cellular automata with respect to a Markov measure. Zbl 1232.28017Akin, Hasan 2 2012 An upper bound of the directional entropy with respect to the Markov measures. Zbl 1258.37005Akin, Hasan 1 2012 Reversibility of 1D cellular automata with periodic boundary over finite fields \({\mathbb{Z}}_{p}\). Zbl 1219.68119Cinkir, Zubeyir; Akin, Hasan; Siap, Irfan 12 2011 Structure and reversibility of 2D hexagonal cellular automata. Zbl 1236.68191Siap, Irfan; Akin, Hasan; Uğuz, Selman 10 2011 Characterization of two-dimensional cellular automata over ternary fields. Zbl 1227.68076Siap, Irfan; Akin, Hasan; Sah, Ferhat 10 2011 On quantum quadratic operators of \(\mathbb M_2(\mathbb C)\) and their dynamics. Zbl 1210.47081Mukhamedov, Farrukh; Akın, Hasan; Temir, Seyit; Abduganiev, Abduaziz 6 2011 A new set of limiting Gibbs measures for the Ising model on a Cayley tree. Zbl 1211.82010Akin, H.; Rozikov, U. A.; Temir, S. 6 2011 Upper bound of the directional entropy of a \(\mathbb Z^2\)-action. Zbl 1271.37015Akin, Hasan 3 2011 Conjugations between circle maps with a single break point. Zbl 1209.37049Dzhalilov, Akhtam; Akin, Hasan; Temir, Seyit 9 2010 Garden of Eden configurations for 2-D cellular automata with rule 2460 N. Zbl 1206.68205Şiap, Irfan; Akin, Hasan; Şah, Ferhat 8 2010 A note on dominant contractions of Jordan algebras. Zbl 1185.47011Mukhamedov, Farrukh; Temir, Seyit; Akın, Hasan 3 2010 On the topological directional entropy. Zbl 1162.37006Akın, Hasan 3 2009 Modulated phase of a Potts model with competing binary interactions on a Cayley tree. Zbl 1198.82014Ganikhodjaev, N.; Temir, S.; Akin, H. 2 2009 The topological entropy of invertible cellular automata. Zbl 1135.37008Akın, Hasan 7 2008 On cellular automata over Galois rings. Zbl 1184.68342Akın, Hasan; Siap, Irfan 15 2007 Potts model with two competing binary interactions. Zbl 1132.82005Ganikhodjaev, Nasir; Akin, Hasan; Temir, Seyit 2 2007 On the ergodic principle for Markov and quadratic stochastic processes and its relations. Zbl 1096.60038Ganikhodjaev, Nasir; Akin, Hasan; Mukhamedov, Farrukh 11 2006 The topological entropy of \(n\)th iteration of an additive cellular automata. Zbl 1330.37010Akın, Hasan 4 2006 On stability properties of positive contractions of \(L^1\)-spaces associated with finite von Neumann algebras. Zbl 1121.47004Mukhamedov, Farrukh; Akin, Hasan; Temir, Seyit 4 2006 On infinite dimensional quadratic Volterra operators. Zbl 1121.47065Mukhamedov, Farruh; Akin, Hasan; Temir, Seyit 13 2005 On the directional entropy of \(\mathbb Z^2\)-actions generated by additive cellular automata. Zbl 1078.37009Akin, Hasan 9 2005 On the ergodic properties of certain additive cellular automata over \(\mathbb Z_{m}\). Zbl 1103.37007Akin, Hasan 1 2005 On the measure entropy of additive cellular automata \(f_\infty\). Zbl 1062.37005Akın, Hasan 10 2003 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year