20. Jul 2025
Articles by S.Petoukhov on matrix genetics presented in arxiv.org
- The genetic code, algebra of projection operators and problems of inherited biological ensembles. – http://arxiv.org/abs/1307.7882 , July 30, 2013.
- Dyadic groups, dyadic trees and symmetries in long nucleotide sequences. – http://arxiv.org/abs/1204.6247 , April 27, 2012.
- The genetic code, 8-dimensional hypercomplex numbers and dyadic shifts. – http://arxiv.org/abs/1102.3596, February 17, 2011.
- The genetic code, Hadamard matrices and algebraic biology. – Journal of Biological Systems, A Special Issue on Biomedical Engineering and Applied Computing, 18, 2010, Spec01, p. 159-175, DOI: 10.1142/S0218339010003688 , http://www.worldscinet.com/jbs/18/18spec01/free-access/S0218339010003688.pdf ) (co-author M. He).
- Matrix genetics, part 5: genetic projection operators and direct sums. – http://arXiv:1005.5101v1, May 18, 2010.
- Articles by different authors about “Petoukhov matrices” and “Petoukhov primes” in “The On-Line Encyclopedia of Integer Sequences”http://www.research.att.com/~njas/sequences/Seis.html , A164575, A164557, A164522, A164516, A164309, A164308, A164281, A164279, A164092, A164057, A172039.
- Matrix genetics, part 4: cyclic changes of the genetic 8-dimensional Yin-Yang-algebras and the algebraic models of physiological cycles. – http://arXiv:0809.2714 September 17, 2008.
- Matrix genetics, part 3: the evolution of the genetic code from the viewpoint of the genetic octave Yin-Yang-algebra. – http://arXiv:0805.4692 , May 30, 2008.
- Matrix genetics, part 2: the degeneracy of the genetic code and the octave algebra with two quasi-real units (the “Yin-Yang octave algebra”). – http://arXiv:0803.3330 , March 23, 2008.
- Matrix genetics, part 1: permutations of positions in triplets and symmetries of genetic matrices. – http://arXiv:0803.0888, March 6, 2008
- The degeneracy of the genetic code and Hadamard matrices. – http://arXiv:0802.3366 , February 8, 2008.
