## Sergeev, Sergeĭ Alekseevich

Compute Distance To:
 Author ID: sergeev.sergei-alekseevich Published as: Sergeev, S. A.; Sergeev, Sergeĭ Alekseevich External Links: ORCID
 Documents Indexed: 51 Publications since 2001 Co-Authors: 16 Co-Authors with 14 Joint Publications 314 Co-Co-Authors
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### Co-Authors

 21 single-authored 7 Dobrokhotov, Sergei Yurievich 4 Grushin, V. V. 3 Gavalec, Martin 3 Gursoy, Buket Benek 3 Mason, Oliver 3 Plavka, Ján 3 Tirozzi, Brunello 3 Tolchennikov, Anton A. 2 Kirkland, Stephen J. 2 Muanalifah, Any 2 Němcová, Zuzana 2 Petrov, Pavel S. 1 Allilueva, Anna I. 1 Bezruchko, Boris Petrovich 1 Ishbulatov, Yuriĭ Mikhaĭlovich 1 Karavaev, Anatoliĭ Sergeevich 1 Kiselev, Anton Robertovich 1 Lozhnikov, D. A. 1 Maccaig, Marie 1 Niv, Adi 1 Ponomarenko, Vladimir Ivanovich 1 Prokhorov, Mikhail Dmitrievich 1 Pron’ko, G. P. 1 Rashid, Imran 1 Seleznev, Yvgeniĭ Petrovich 1 Shafarevich, Andreĭ Igorevich 1 Spiridonov, F. F. 1 Wagneur, Edouard 1 Wang, Huili
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### Serials

 12 Linear Algebra and its Applications 6 Mathematical Notes 6 Russian Journal of Mathematical Physics 3 Fuzzy Sets and Systems 3 Kybernetika 3 Differential Equations 2 Journal of Physics A: Mathematical and General 2 Doklady Mathematics 2 Proceedings of the Steklov Institute of Mathematics 1 Communications in Algebra 1 Physics Letters. A 1 International Journal of Mathematics and Mathematical Sciences 1 Applications of Mathematics 1 ELA. The Electronic Journal of Linear Algebra 1 Matematicheskoe Modelirovanie 1 Journal of Applied Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Nelineĭnaya Dinamika
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### Fields

 22 Linear and multilinear algebra; matrix theory (15-XX) 17 Partial differential equations (35-XX) 10 Fluid mechanics (76-XX) 8 Quantum theory (81-XX) 6 Combinatorics (05-XX) 6 Numerical analysis (65-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic geometry (14-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

32 Publications have been cited 134 times in 32 Documents Cited by Year
Max-algebraic attraction cones of nonnegative irreducible matrices. Zbl 1226.15017
Sergeev, Sergeĭ
2011
New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems. Zbl 1331.35219
Allilueva, A. I.; Dobrokhotov, S. Yu.; Sergeev, S. A.; Shafarevich, A. I.
2015
Max algebraic powers of irreducible matrices in the periodic regime: an application of cyclic classes. Zbl 1175.15027
Sergeev, Sergeĭ
2009
Multiorder, Kleene stars and cyclic projectors in the geometry of max cones. Zbl 1179.15033
Sergeev, Sergeĭ
2009
Asymptotic solutions of the Cauchy problem with localized initial conditions for linearized two-dimensional Boussinesq-type equations with variable coefficients. Zbl 1276.76012
Dobrokhotov, S. Yu.; Sergeev, S. A.; Tirozzi, B.
2013
Max-plus definite matrix closures and their eigenspaces. Zbl 1131.15009
Sergeev, Sergeĭ
2007
Extremals of the supereigenvector cone in max algebra: a combinatorial description. Zbl 1316.15031
Sergeev, Sergeĭ
2015
Eigenspace of a three-dimensional max-Łukasiewicz fuzzy matrix. Zbl 1246.93118
Rashid, I.; Gavalec, M.; Sergeev, S.
2012
Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source. Zbl 1293.35279
Grushin, V. V.; Dobrokhotov, S. Yu.; Sergeev, S. A.
2013
The analytic hierarchy process, max algebra and multi-objective optimisation. Zbl 1282.90087
Gursoy, Buket Benek; Mason, Oliver; Sergeev, Sergeĭ
2013
Basic solutions of systems with two max-linear inequalities. Zbl 1227.15018
Sergeev, Sergeĭ; Wagneur, Edouard
2011
Tropical linear algebra with the Łukasiewicz t-norm. Zbl 1373.15041
Gavalec, Martin; Němcová, Zuzana; Sergeev, Sergeĭ
2015
Asymptotic theory of linear water waves in a domain with nonuniform bottom with rapidly oscillating sections. Zbl 1359.76057
Dobrokhotov, S. Yu.; Grushin, V. V.; Sergeev, S. A.; Tirozzi, B.
2016
Complex of three-dimensional solvable models. Zbl 0996.82021
Sergeev, S.
2001
Asymptotic solutions of the one-dimensional linearized Korteweg-de Vries equation with localized initial data. Zbl 1386.35373
Sergeev, S. A.
2017
Reachability of eigenspaces for interval circulant matrices in max-algebra. Zbl 1390.15033
Plavka, Ján; Sergeev, Sergeĭ
2018
Creation operators in the problem of localized solutions of the linearized shallow water equations with regular and singular characteristics. Zbl 1362.35242
Sergeev, S. A.; Tolchennikov, A. A.
2016
Asymptotics of the propagation problem for linear waves on a two-dimensional lattice and modified Maslov’s canonical operator. Zbl 1435.81082
Grushin, V. V.; Sergeev, S. A.
2020
Asymptotic solutions of one-dimensional linear evolution equations for surface waves with account for surface tension. Zbl 1394.35371
Sergeev, S. A.
2018
Fiedler-Pták scaling in max algebra. Zbl 1281.15027
Sergeev, Sergeĭ
2013
On the problem $$Ax= \lambda Bx$$ in max algebra: Every system of intervals is a spectrum. Zbl 1248.15023
Sergeev, Sergeĭ
2011
Ansatz of Hans Bethe for a two-dimensional lattice Bose gas. Zbl 1119.82009
Sergeev, S.
2006
Integrability of $$q$$-oscillator lattice model. Zbl 1236.82020
Sergeev, S.
2006
Integrable three dimensional models in wholly discrete space-time. Zbl 1016.81030
Sergeev, S.
2001
Quantum relativistic Toda chain. Zbl 1109.82317
Pronko, G.; Sergeev, Sergei
2001
Characterizing matrices with $$\pmb{X}$$-simple image eigenspace in max-min semiring. Zbl 1413.15049
Plavka, Ján; Sergeev, Sergeĭ
2016
$$\mathbf{X}$$-simple image eigencones of tropical matrices. Zbl 1347.15034
Plavka, Ján; Sergeev, Sergeĭ
2016
Quantum curve in $$q$$-oscillator model. Zbl 1125.82010
Sergeev, S.
2006
Phase synchronization of elements of autonomic control in mathematical model of cardiovascular system. Zbl 1386.93037
Ishbulatov, Yuriĭ Mikhaĭlovich; Karavaev, Anatoliĭ Sergeevich; Ponomarenko, Vladimir Ivanovich; Kiselev, Anton Robertovich; Sergeev, Sergeĭ Alekseevich; Seleznev, Yvgeniĭ Petrovich; Bezruchko, Boris Petrovich; Prokhorov, Mikhail Dmitrievich
2017
Modeling of acoustic pulse signal propagation in deep sea using the Maslov canonical operator. Zbl 1431.76113
Petrov, P. S.; Sergeev, S. A.; Tolchennikov, A. A.
2017
On the Markov chain tree theorem in the max algebra. Zbl 1283.15080
Gursoy, Buket Benek; Kirkland, Steve; Mason, Oliver; Sergeev, Sergei
2013
Modifying the tropical version of Stickel’s key exchange protocol. Zbl 07285954
Muanalifah, Any; Sergeev, Sergei
2020
Asymptotics of the propagation problem for linear waves on a two-dimensional lattice and modified Maslov’s canonical operator. Zbl 1435.81082
Grushin, V. V.; Sergeev, S. A.
2020
Modifying the tropical version of Stickel’s key exchange protocol. Zbl 07285954
Muanalifah, Any; Sergeev, Sergei
2020
Reachability of eigenspaces for interval circulant matrices in max-algebra. Zbl 1390.15033
Plavka, Ján; Sergeev, Sergeĭ
2018
Asymptotic solutions of one-dimensional linear evolution equations for surface waves with account for surface tension. Zbl 1394.35371
Sergeev, S. A.
2018
Asymptotic solutions of the one-dimensional linearized Korteweg-de Vries equation with localized initial data. Zbl 1386.35373
Sergeev, S. A.
2017
Phase synchronization of elements of autonomic control in mathematical model of cardiovascular system. Zbl 1386.93037
Ishbulatov, Yuriĭ Mikhaĭlovich; Karavaev, Anatoliĭ Sergeevich; Ponomarenko, Vladimir Ivanovich; Kiselev, Anton Robertovich; Sergeev, Sergeĭ Alekseevich; Seleznev, Yvgeniĭ Petrovich; Bezruchko, Boris Petrovich; Prokhorov, Mikhail Dmitrievich
2017
Modeling of acoustic pulse signal propagation in deep sea using the Maslov canonical operator. Zbl 1431.76113
Petrov, P. S.; Sergeev, S. A.; Tolchennikov, A. A.
2017
Asymptotic theory of linear water waves in a domain with nonuniform bottom with rapidly oscillating sections. Zbl 1359.76057
Dobrokhotov, S. Yu.; Grushin, V. V.; Sergeev, S. A.; Tirozzi, B.
2016
Creation operators in the problem of localized solutions of the linearized shallow water equations with regular and singular characteristics. Zbl 1362.35242
Sergeev, S. A.; Tolchennikov, A. A.
2016
Characterizing matrices with $$\pmb{X}$$-simple image eigenspace in max-min semiring. Zbl 1413.15049
Plavka, Ján; Sergeev, Sergeĭ
2016
$$\mathbf{X}$$-simple image eigencones of tropical matrices. Zbl 1347.15034
Plavka, Ján; Sergeev, Sergeĭ
2016
New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems. Zbl 1331.35219
Allilueva, A. I.; Dobrokhotov, S. Yu.; Sergeev, S. A.; Shafarevich, A. I.
2015
Extremals of the supereigenvector cone in max algebra: a combinatorial description. Zbl 1316.15031
Sergeev, Sergeĭ
2015
Tropical linear algebra with the Łukasiewicz t-norm. Zbl 1373.15041
Gavalec, Martin; Němcová, Zuzana; Sergeev, Sergeĭ
2015
Asymptotic solutions of the Cauchy problem with localized initial conditions for linearized two-dimensional Boussinesq-type equations with variable coefficients. Zbl 1276.76012
Dobrokhotov, S. Yu.; Sergeev, S. A.; Tirozzi, B.
2013
Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source. Zbl 1293.35279
Grushin, V. V.; Dobrokhotov, S. Yu.; Sergeev, S. A.
2013
The analytic hierarchy process, max algebra and multi-objective optimisation. Zbl 1282.90087
Gursoy, Buket Benek; Mason, Oliver; Sergeev, Sergeĭ
2013
Fiedler-Pták scaling in max algebra. Zbl 1281.15027
Sergeev, Sergeĭ
2013
On the Markov chain tree theorem in the max algebra. Zbl 1283.15080
Gursoy, Buket Benek; Kirkland, Steve; Mason, Oliver; Sergeev, Sergei
2013
Eigenspace of a three-dimensional max-Łukasiewicz fuzzy matrix. Zbl 1246.93118
Rashid, I.; Gavalec, M.; Sergeev, S.
2012
Max-algebraic attraction cones of nonnegative irreducible matrices. Zbl 1226.15017
Sergeev, Sergeĭ
2011
Basic solutions of systems with two max-linear inequalities. Zbl 1227.15018
Sergeev, Sergeĭ; Wagneur, Edouard
2011
On the problem $$Ax= \lambda Bx$$ in max algebra: Every system of intervals is a spectrum. Zbl 1248.15023
Sergeev, Sergeĭ
2011
Max algebraic powers of irreducible matrices in the periodic regime: an application of cyclic classes. Zbl 1175.15027
Sergeev, Sergeĭ
2009
Multiorder, Kleene stars and cyclic projectors in the geometry of max cones. Zbl 1179.15033
Sergeev, Sergeĭ
2009
Max-plus definite matrix closures and their eigenspaces. Zbl 1131.15009
Sergeev, Sergeĭ
2007
Ansatz of Hans Bethe for a two-dimensional lattice Bose gas. Zbl 1119.82009
Sergeev, S.
2006
Integrability of $$q$$-oscillator lattice model. Zbl 1236.82020
Sergeev, S.
2006
Quantum curve in $$q$$-oscillator model. Zbl 1125.82010
Sergeev, S.
2006
Complex of three-dimensional solvable models. Zbl 0996.82021
Sergeev, S.
2001
Integrable three dimensional models in wholly discrete space-time. Zbl 1016.81030
Sergeev, S.
2001
Quantum relativistic Toda chain. Zbl 1109.82317
Pronko, G.; Sergeev, Sergei
2001
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### Cited by 26 Authors

 13 Dobrokhotov, Sergei Yurievich 8 Sergeev, Sergeĭ Alekseevich 7 Nazaikinskii, Vladimir E. 6 Grushin, V. V. 6 Shafarevich, Andreĭ Igorevich 5 Tolchennikov, Anton A. 4 Tsvetkova, Anna V. 2 Allilueva, Anna I. 2 Anikin, A. Yu. 2 Petrov, Pavel S. 2 Sekerzh-Zen’kovich, Sergeĭ Yakovlevich 2 Tirozzi, Brunello 1 Borovkova, Ekaterina Igor’evna 1 Brüning, Jochen 1 Bulatov, Vitaliĭ Vasil’evich 1 Karaev, A. D. 1 Karaeva, D. A. 1 Karavaev, Anatoliĭ Sergeevich 1 Kiselev, Anton Robertovich 1 Minenkov, Dmitrii S. 1 Petrov, P. N. 1 Ponomarenko, Vladimir Ivanovich 1 Prokhorov, Mikhail Dmitrievich 1 Schafarevich, A. I. 1 Skazkina, Viktoriya Viktorovna 1 Vladimirov, I. Yu.
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### Cited in 9 Serials

 13 Russian Journal of Mathematical Physics 8 Mathematical Notes 3 Doklady Mathematics 2 Theoretical and Mathematical Physics 2 Proceedings of the Steklov Institute of Mathematics 1 Fluid Dynamics 1 Computational Mathematics and Mathematical Physics 1 Differential Equations 1 Nelineĭnaya Dinamika
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### Cited in 14 Fields

 23 Partial differential equations (35-XX) 13 Fluid mechanics (76-XX) 5 Quantum theory (81-XX) 4 Differential geometry (53-XX) 3 Numerical analysis (65-XX) 3 Geophysics (86-XX) 2 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)