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Kozyrev Sergei Vladimirovich
(recent publications)

by years

scientific publications

by types




2026
1.	S. V. Kozyrev, “How to explain grokking”, Comput. Math. Math. Phys., 66:5 (2026), 953–957

2025
2.	S. V. Kozyrev, I. A. Lopatin, A. N. Pechen, “Generalization in learning: Eyring formula and predator-prey model”, Lobachevskii J. Math., 46:6 (2025), 2591–2600
3.	I. A. Lopatin, S. V. Kozyrev, A. N. Pechen, Predator–Prey Model: Driven Hunt for Accelerated Grokking, 2025, 15 pp., arXiv: 2509.10562
4.	Sergei V. Kozyrev, “Action in Physics, Biology and AI”, P-Adic Numbers Ultrametric Anal. Appl., 17:4 (2025), 379–384

2024
5.	S. V. Kozyrev, “Lotka–Volterra model with mutations and generative adversarial networks”, Theoret. and Math. Phys., 218:2 (2024), 276–284
6.	Sergei V. Kozyrev, Ilya A. Lopatin, Alexander N. Pechen, “Control of overfitting with physics”, Entropy, 26:12 (2024), 1090, 16 pp., arXiv: 2412.10716	3 ^[x]
7.	S. V. Kozyrev, “Transformers as a physical model in AI”, Lobachevskii J. Math., 45:2 (2024), 710–717	2 ^[x]
8.	S. V. Kozyrev, How to explain grokking, 2024, 6 pp., arXiv: 2412.18624

2023
9.	S. V. Kozyrev, “Learning by population genetics and matrix Riccati equation”, Entropy, 25:2 (2023), 348, 9 pp.	2 ^[x]
10.	S. V. Kozyrev, “Category theory and theory of evolution”, Lobachevskii J. Math., 44:6 (2023), 2065–2071	1 ^[x]
11.	B. Dragovich, A. Yu. Khrennikov, I. V. Volovich, S. V. Kozyrev, “On the Occasion of the Centenary of the Birth of V. S. Vladimirov (1923–2012)”, p-Adic Numbers, Ultrametric Analysis and Applications, 15:3 (2023), 243–244	1 ^[x]
12.	Sergei V. Kozyrev, Alexander N. Pechen, “Amplification of quantum transfer and quantum ratchet”, Phys. Scr., 98:12 (2023), 125122, 12 pp.

2022
13.	B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev, I. V. Volovich, “Giorgio Parisi: The Nobel Prize in Physics 2021”, P-Adic Numbers Ultrametric Anal. Appl., 14:1 (2022), 81–83	3 ^[x]
14.	Sergei V. Kozyrev, Alexander N. Pechen, “Quantum feedback control in quantum photosynthesis”, Phys. Rev. A, 106 (2022), 32218, 10 pp., arXiv: 2105.12128	6 ^[x]
15.	S. V. Kozyrev, “Learning theory and population genetics”, Lobachevskii J. Math., 43:7 (2022), 1655–1662	3 ^[x]
16.	L. Accardi, B. Dragovich, S. V. Kozyrev, A. S. Trushechkin, “Preface”, Int. J. Mod. Phys. A, 37:20-21 (2022), 2202002, 1 pp.
17.	S. V. Kozyrev, “Landau–Zener formula and non-secular transitions”, Int. J. Mod. Phys. A, 37:20-21 (2022), 2243015, 9 pp., arXiv: 2201.07223

2021
18.	Branko Dragovich, Andrei Yu. Khrennikov, Sergei V. Kozyrev, Nataša. Ž. Mišić, “$p$-Adic Mathematics and Theoretical Biology”, Biosystems, 199 (2021), 104288, 10 pp.	21 ^[x]
19.	Alexei N. Nekrasov, Yuri P. Kozmin, Sergey V. Kozyrev, Rustam H. Ziganshin, Alexandre G. de Brevern, Anastasia A. Anashkina, “Hierarchical structure of protein sequence”, Int. J. Mol. Sci., 22:15 (2021), 8339, 12 pp.	9 ^[x]
20.	S. V. Kozyrev, “Is genome written in Haskell?”, Lobachevskii J. Math., 42:10 (2021), 2358–2363	4 ^[x]

2020
21.	Sergei V. Kozyrev, “Learning problem for functional programming and model of biological evolution”, P-Adic Numbers Ultrametric Anal. Appl., 12:2 (2020), 112–122	2 ^[x]
22.	S. V. Kozyrev, “$q$-Deformation and Free Statistics for Interaction of a Field and a Particle”, Phys. Part. Nucl., 51:4 (2020), 452–457
23.	S. V. Kozyrev, “Genome as a functional program”, Lobachevskii J. Math., 41:12 (2020), 2326–2331, arXiv: 2006.09980	5 ^[x]
24.	A. N. Nekrasov, Y. P. Kozmin, S. V. Kozyrev, N. G. Esipova, R. H. Ziganshin, A. A. Anashkina, “Levels of hierarchical organization of protein sequences. Entropy Characteristics Analysis”, Biophysics, 65:6 (2020), 1965–1071

2019
25.	S. V. Kozyrev, “Model of Vibrons in Quantum Photosynthesis as an Analog of a Model of Laser”, Proc. Steklov Inst. Math., 306 (2019), 145–156
26.	Sergei V. Kozyrev, “Code Biology and Kolmogorov Complexity”, Advances in Artificial Systems for Medicine and Education II. AIMEE2018 2018., International Conference of Artificial Intelligence, Medical Engineering, Education (6-8 October, Moscow, Russia), Adv. Intell. Syst. Comput., 902, eds. Hu Z., Petoukhov S., He M., Springer, 2019, 93–101

2018
27.	S. V. Kozyrev, “Quantum Transport in Degenerate Systems”, Proc. Steklov Inst. Math., 301 (2018), 134–143
28.	A.Yu. Khrennikov, S.V. Kozyrev, W.A. Zuniga-Galindo, Ultrametric Pseudodifferential Equations and Applications, Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge, UK, 2018, 250 pp.
29.	S.V. Kozyrev, I.V. Volovich, “Dark states in quantum photosynthesis”, Trends in Biomathematics: Modeling, Optimization and Computational Problems, Proceedings of BIOMAT 2017 Conference (Institut vychislitelnoi matematiki RAN, Moskva, 30 oktyabrya –3 noyabrya 2017 g), eds. R.P. Mondaini, Springer, Berlin, 2018, 13-26, arXiv: 1603.07182	7 ^[x]
30.	S. V. Kozyrev, “Biology as a constructive physics”, P-Adic Numbers Ultrametric Anal. Appl., 10:4 (2018), 305–311, arXiv: 1804.10518	7 ^[x]
31.	V. S. Anashin, B. Dragovich, A. N. Kochubei, S. V. Kozyrev, and I. V. Volovich, “Andrei Yurievich Khrennikov and his Research”, P-Adic Numbers Ultrametric Anal. Appl., 10:4 (2018), 344–347

2017
32.	B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev, I. V. Volovich, E. I. Zelenov, “p-Adic Mathematical Physics: The First 30 Years”, P-Adic Numbers Ultrametric Anal. Appl., 9:2 (2017), 87–121, arXiv: 1705.04758	120 ^[x]
33.	I. Ya. Aref'eva, G. S. Djordjevic, A. Yu. Khrennikov, S. V. Kozyrev, Z. Rakic, I. V. Volovich, “p-Adic mathematical physics and B. Dragovich research”, P-Adic Numbers Ultrametric Anal. Appl., 9:1 (2017), 82–85	1 ^[x]
34.	S. V. Kozyrev, A. A. Mironov, A. E. Teretenkov, I. V. Volovich, “Flows in nonequilibrium quantum systems and quantum photosynthesis”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 20:4 (2017), 1750021, 19 pp., arXiv: 1612.00213	11 ^[x]

2016
35.	I. V. Volovich, S. V. Kozyrev, “Manipulation of states of a degenerate quantum system”, Proc. Steklov Inst. Math., 294 (2016), 241–251
36.	S. V. Kozyrev, “Model of protein fragments and statistical potentials”, P-Adic Numbers Ultrametric Anal. Appl., 8:4 (2016), 325–337, arXiv: 1504.03940	3 ^[x]
37.	A. N. Nekrasov, A. A. Zinchenko, D. M. Karlinskii, S. V. Kozyrev, “Metod issledovaniya ierarkhicheskikh elementov v prirodnykh aminokislotnykh posledovatelnostyakh”, Uspekhi sovremen. estestvozn., 2016, no. 11, 242–248

2015
38.	I. Ya. Aref'eva, I. V. Volovich, S. V. Kozyrev, “Stochastic limit method and interference in quantum many-particle systems”, Theoret. and Math. Phys., 183:3 (2015), 782–799
39.	A. Khrennikov, S. Kozyrev, A. Månsson, “Hierarchical model of the actomyosin molecular motor based on ultrametric diffusion with drift”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 18:2 (2015), 1550013, 16 pp., arXiv: 1312.7528	5 ^[x]
40.	S. V. Kozyrev, “Ultrametricity in the theory of complex systems”, Theoret. and Math. Phys., 185:2 (2015), 1665–1677

2014
41.	S. V. Kozyrev, I. V. Volovich, “Quinary lattice model of secondary structures of polymers”, Phys. A, 393 (2014), 86–95, arXiv: 1206.4424	2 ^[x]
42.	S. V. Kozyrev, A. Yu. Khrennikov, V. M. Shelkovich, “$p$-adic wavelets and their applications”, Proc. Steklov Inst. Math., 285 (2014), 157–196
43.	S. V. Kozyrev, “Cluster networks and Bruhat–Tits buildings”, Theoret. and Math. Phys., 180:2 (2014), 958–966

2013
44.	A. Yu. Khrennikov, S. V. Kozyrev, K. Oleschko, A. G. Jaramillo, M. de Jesus Correa Lopez, “Application of p-adic analysis to time series”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 16:4 (2013), 1350030, 15 pp., arXiv: 1312.3878	23 ^[x]

2012
45.	S. Albeverio, S. V. Kozyrev, “Clustering by hypergraphs and dimensionality of cluster systems”, p-Adic Numbers, Ultrametric Analysis and Applications, 4:3 (2012), 167–178, arXiv: 1204.5952	3 ^[x]
46.	S. Albeverio, S. V. Kozyrev, Lattice model of protein conformations, 2012, arXiv: 1207.7317
47.	S. V. Kozyrev, Classification by ensembles of neural networks, 2012, arXiv: 1202.4170

2011
48.	A. Yu. Khrennikov, S. V. Kozyrev, “$p$-Adic integral operators in wavelet bases”, Dokl. Math., 83:2 (2011), 209–212
49.	S. V. Kozyrev, A. Yu. Khrennikov, “Multidimensional $p$-adic metric and genetic code”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 113–117
50.	S. V. Kozyrev, I. V. Volovich, “The Arrhenius formula in kinetic theory and Witten's spectral asymptotics”, J. Phys. A, 44:21 (2011), 215202, 10 pp., arXiv: 1008.4487	15 ^[x]
51.	A. Yu. Khrennikov, S. V. Kozyrev, “Genetic code and deformation of the 2-dimensional 2-adic metric”, P-Adic Numbers Ultrametric Anal. Appl., 3:2 (2011), 165–168	9 ^[x]
52.	A. Yu. Khrennikov, S. V. Kozyrev, “Replica procedure for probabilistic algorithms as a model of gene duplication”, Dokl. Math., 84:2 (2011), 726–729, arXiv: 1105.2893

2010
53.	A. Yu. Khrennikov, S. V. Kozyrev, “2-Adic degeneration of the genetic code and energy of binding of codons”, Quantum bio-informatics III, QP–PQ: Quantum Probab. White Noise Anal., 26, World Sci. Publ., Hackensack, NJ, 2010, 193–204	3 ^[x]
54.	S. V. Kozyrev, “Multidimensional clustering and hypergraphs”, Theoret. and Math. Phys., 164:3 (2010), 1163–1168
55.	S. V. Kozyrev, A. Yu. Khrennikov, “2-adic numbers in genetics and Rumer's symmetry”, Dokl. Math., 81:1 (2010), 128–130
56.	S. V. Kozyrev, “Dynamics on rugged landscapes of energy and ultrametric diffusion”, P-Adic Numbers Ultrametric Anal. Appl., 2:2 (2010), 122–132	22 ^[x]
57.	S. Albeverio, S. V. Kozyrev, “Pseudodifferential p-adic vector fields and pseudodifferentiation of a composite p-adic function”, P-Adic Numbers Ultrametric Anal. Appl., 2:1 (2010), 21–34, arXiv: 1105.1506	6 ^[x]
58.	S. Albeverio, S. V. Kozyrev, “Multidimensional $p$-adic wavelets for the deformed metric”, P-Adic Numbers Ultrametric Anal. Appl., 2:4 (2010), 265–277, arXiv: 1105.1524	8 ^[x]

Full list of publications