Edit Profile (opens in new tab) Sergeev, Sergeĭ Mikhaĭlovich Co-Author Distance Author ID: sergeev.sergei-m Published as: Sergeev, S. M.; Sergeev, Sergey M.; Sergeev, Sergeĭ; Sergeev, S.; Sergeev, Sergey; Sergeev, Sergei; Sergeev, Sergey Mikhailovich; Sergeev, Sergei M. more...less Further Spellings: Сергеев Сергей Михайлович External Links: ORCID · Math-Net.Ru Documents Indexed: 134 Publications since 1991, including 14 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 31 Co-Authors with 68 Joint Publications 729 Co-Co-Authors all top 5 Co-Authors 45 single-authored 15 Bazhanov, Vladimir V. 14 Mangazeev, Vladimir V. 10 Schneider, Hans 7 Pakuliak, Stanislav Z. 6 Butkovič, Peter 5 Kashaev, Rinat M. 5 Niţică, Viorel 4 Gaubert, Stéphane 4 Merlet, Glenn 4 Nowak, Thomas 4 Plavka, Ján 4 Stroganov, Yu. G. 4 Von Gehlen, Günter 3 Boos, Herman E. 3 Gavalec, Martin 3 Gursoy, Buket Benek 3 Katz, Ricardo David 3 Kennedy-Cochran-Patrick, Arthur 3 Korepanov, Igor Germanovich 3 Kuniba, Atsuo 3 Mason, Oliver 3 Wang, Huili 2 Engel, Gernot Michael 2 Kels, Andrew P. 2 Kirkland, Stephen J. 2 Krivulin, Nikolai K. 2 Muanalifah, Any 2 Němcová, Zuzana 2 Okado, Masato 1 Akian, Marianne 1 Allamigeon, Xavier 1 Berežný, Štefan 1 Doliwa, Adam 1 Isaev, Alekseĭ Petrovich 1 Maccaig, Marie 1 Maillard, Jean-Marie 1 Maslikov, A. A. 1 Mufid, Muhammad Syifa’ul 1 Niv, Adi 1 Okada, Yuichiro 1 Parsons, Jamie 1 Patel, Ebrahim L. 1 Peperko, Aljoša 1 Ponce, Daniela 1 Pron’ko, G. P. 1 Rashid, Imran 1 Tam, Bit-Shun 1 Varbanets, Pavel 1 Volkov, Guennadi G. 1 Wagneur, Edouard all top 5 Serials 23 Linear Algebra and its Applications 9 Theoretical and Mathematical Physics 9 Journal of Physics A: Mathematical and Theoretical 7 Kybernetika 6 Journal of Physics A: Mathematical and General 5 Modern Physics Letters A 5 Nuclear Physics. B 5 Physics Letters. A 4 International Journal of Modern Physics A 4 Letters in Mathematical Physics 4 Fuzzy Sets and Systems 3 ELA. The Electronic Journal of Linear Algebra 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Linear and Multilinear Algebra 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Mathematical Sciences (New York) 1 Communications in Algebra 1 Discrete Applied Mathematics 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Optimization 1 Journal of Symbolic Computation 1 Applications of Mathematics 1 Discrete Event Dynamic Systems 1 Advances in Theoretical and Mathematical Physics 1 Annales Henri Poincaré 1 Czechoslovak Journal of Physics 1 Journal of Nonlinear Mathematical Physics 1 Journal of Applied Mathematics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Šiauliai Mathematical Seminar all top 5 Fields 51 Quantum theory (81-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 45 Statistical mechanics, structure of matter (82-XX) 23 Dynamical systems and ergodic theory (37-XX) 16 Nonassociative rings and algebras (17-XX) 15 Associative rings and algebras (16-XX) 14 Algebraic geometry (14-XX) 12 Combinatorics (05-XX) 9 Mechanics of particles and systems (70-XX) 8 Convex and discrete geometry (52-XX) 7 Partial differential equations (35-XX) 7 Operations research, mathematical programming (90-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 4 Numerical analysis (65-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 General algebraic systems (08-XX) 2 Field theory and polynomials (12-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 705 times in 354 Documents Cited by ▼ Year ▼ Zamolodchikov’s tetrahedron equation and hidden structure of quantum groups. Zbl 1091.81047 Bazhanov, Vladimir V.; Sergeev, Sergey M. 48 2006 Generators, extremals and bases of max cones. Zbl 1119.15018 Butkovič, Peter; Schneider, Hans; Sergeev, Sergeĭ 45 2007 On visualization scaling, subeigenvectors and Kleene stars in max algebra. Zbl 1180.15027 Sergeev, Sergeĭ; Schneider, Hans; Butkovič, Peter 41 2009 A master solution of the quantum Yang-Baxter equation and classical discrete integrable equations. Zbl 1273.81142 Bazhanov, Vladimir V.; Sergeev, Sergey M. 39 2012 Faddeev-Volkov solution of the Yang-Baxter equation and discrete conformal symmetry. Zbl 1150.82008 Bazhanov, Vladimir V.; Mangazeev, Vladimir V.; Sergeev, Sergey M. 37 2007 Functional tetrahedron equation. Zbl 0941.82018 Kashaev, R. M.; Korepanov, I. G.; Sergeev, S. M. 36 1998 Exact solution of the Faddeev-Volkov model. Zbl 1217.82015 Bazhanov, Vladimir V.; Mangazeev, Vladimir V.; Sergeev, Sergey M. 25 2008 Tropical linear-fractional programming and parametric mean payoff games. Zbl 1270.90081 Gaubert, Stéphane; Katz, Ricardo D.; Sergeev, Sergeĭ 24 2012 Solutions of the functional tetrahedron equation connected with the local Yang-Baxter equation for the ferro-electric condition. Zbl 0908.35111 Sergeev, S. M. 22 1998 Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation. Zbl 1246.81076 Bazhanov, Vladimir V.; Sergeev, Sergey M. 22 2012 The vertex formulation of the Bazhanov-Baxter model. Zbl 1042.82528 Sergeev, S. M.; Mangazeev, V. V.; Stroganov, Yu. G. 18 1996 Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs. Zbl 1352.37175 Bazhanov, Vladimir V.; Kels, Andrew P.; Sergeev, Sergey M. 18 2016 Quantum geometry of three-dimensional lattices. Zbl 1459.81053 Bazhanov, Vladimir V.; Mangazeev, Vladimir V.; Sergeev, Sergey M. 18 2008 Recognizing weakly stable matrices. Zbl 1267.15024 Butkovič, Peter; Schneider, Hans; Sergeev, Sergeĭ 18 2012 On pentagon, ten-term, and tetrahedron relations. Zbl 0937.16045 Kashaev, R. M.; Sergeev, S. M. 17 1998 Tetrahedron equation and generalized quantum groups. Zbl 1394.16043 Kuniba, Atsuo; Okado, Masato; Sergeev, Sergey 16 2015 On commuting matrices in max algebra and in classical nonnegative algebra. Zbl 1245.15026 Katz, Ricardo D.; Schneider, Hans; Sergeev, Sergeĭ 14 2012 Max algebraic powers of irreducible matrices in the periodic regime: an application of cyclic classes. Zbl 1175.15027 Sergeev, Sergeĭ 14 2009 Multiorder, Kleene stars and cyclic projectors in the geometry of max cones. Zbl 1179.15033 Sergeev, Sergeĭ 14 2009 Max-algebraic attraction cones of nonnegative irreducible matrices. Zbl 1226.15017 Sergeev, Sergeĭ 14 2011 Tetrahedron equation and quantum \(R\) matrices for spin representations of \(B^{(1)}_n\), \(D^{(1)}_n\) and \(D^{(2)}_{n+1}\). Zbl 1278.81149 Kuniba, Atsuo; Sergeev, Sergey 13 2013 Yang-Baxter maps, discrete integrable equations and quantum groups. Zbl 1380.81164 Bazhanov, Vladimir V.; Sergeev, Sergey M. 12 2018 Quantum \(2+1\) evolution model. Zbl 0962.81023 Sergeev, S. M. 12 1999 CSR expansions of matrix powers in max algebra. Zbl 1307.15036 Sergeev, Sergeĭ; Schneider, Hans 12 2012 Weak CSR expansions and transience bounds in max-plus algebra. Zbl 1314.15018 Merlet, Glenn; Nowak, Thomas; Sergeev, Sergeĭ 11 2014 Max-plus definite matrix closures and their eigenspaces. Zbl 1131.15009 Sergeev, Sergeĭ 11 2007 Comment on star-star relations in statistical mechanics and elliptic gamma-function identities. Zbl 1266.82013 Bazhanov, Vladimir V.; Kels, Andrew P.; Sergeev, Sergey M. 11 2013 Spectral equations for the modular oscillator. Zbl 1397.81263 Kashaev, Rinat M.; Sergeev, Sergey M. 10 2018 An integrable 3D lattice model with positive Boltzmann weights. Zbl 1291.82027 Mangazeev, Vladimir V.; Bazhanov, Vladimir V.; Sergeev, Sergey M. 10 2013 The level set method for the two-sided max-plus eigenproblem. Zbl 1279.15024 Gaubert, Stéphane; Sergeev, Sergeĭ 10 2013 Quantum geometry of 3-dimensional lattices and tetrahedron equation. Zbl 1211.83011 Bazhanov, Vladimir V.; Mangazeev, Vladimir V.; Sergeev, Sergey M. 10 2010 Cyclic projectors and separation theorems in idempotent convex geometry. Zbl 1173.47045 Gaubert, S.; Sergeev, S. 9 2008 Generalizations of bounds on the index of convergence to weighted digraphs. Zbl 1300.05121 Merlet, Glenn; Nowak, Thomas; Schneider, Hans; Sergeev, Sergeĭ 8 2014 The analytic hierarchy process, max algebra and multi-objective optimisation. Zbl 1282.90087 Gursoy, Buket Benek; Mason, Oliver; Sergeev, Sergeĭ 8 2013 Two-dimensional \(R\)-matrices—descendants of three-dimensional \(R\)-matrices. Zbl 1022.81588 Sergeev, S. M. 7 1997 New series of 3D lattice integrable models. Zbl 0988.82503 Mangazeev, V. V.; Sergeev, S. M.; Stroganov, Yu. G. 7 1994 Supertetrahedra and superalgebras. Zbl 1298.81110 Sergeev, Sergey M. 7 2009 Quantization of three-wave equations. Zbl 1126.81048 Sergeev, S. M. 7 2007 Z-matrix equations in max-algebra, nonnegative linear algebra and other semirings. Zbl 1255.15031 Butkovič, Peter; Schneider, Hans; Sergeev, Sergeĭ 7 2012 On sets of eigenvalues of matrices with prescribed row sums and prescribed graph. Zbl 1290.15007 Engel, Gernot Michael; Schneider, Hans; Sergeev, Sergeĭ 6 2014 Extremals of the supereigenvector cone in max algebra: a combinatorial description. Zbl 1316.15031 Sergeev, Sergeĭ 6 2015 Eigenspace of a three-dimensional max-Łukasiewicz fuzzy matrix. Zbl 1246.93118 Rashid, I.; Gavalec, M.; Sergeev, S. 6 2012 Tropical convexity over max-min semiring. Zbl 1320.52002 Nitica, Viorel; Sergeev, Sergeĭ 5 2014 3D symplectic map. Zbl 0937.37042 Sergeev, S. M. 5 1999 New solution of vertex type tetrahedron equations. Zbl 1020.82561 Mangazeev, V. V.; Sergeev, S. M.; Stroganov, Yu. G. 5 1995 Two cores of a nonnegative matrix. Zbl 1305.15073 Butkovič, Peter; Schneider, Hans; Sergeev, Sergeĭ; Tam, Bit-Shun 5 2013 Basic solutions of systems with two max-linear inequalities. Zbl 1227.15018 Sergeev, Sergeĭ; Wagneur, Edouard 5 2011 Tetrahedron equations and nilpotent subalgebras of \({\mathcal{U}}_q(\text{sl}_n)\). Zbl 1181.17007 Sergeev, Sergey Mikhailovich 5 2008 Tropical linear algebra with the Łukasiewicz t-norm. Zbl 1373.15041 Gavalec, Martin; Němcová, Zuzana; Sergeev, Sergeĭ 4 2015 Reachability of eigenspaces for interval circulant matrices in max-algebra. Zbl 1390.15033 Plavka, Ján; Sergeev, Sergeĭ 4 2018 On exact solution of a classical 3D integrable model. Zbl 0956.39016 Sergeev, S. M. 4 2000 Complex of three-dimensional solvable models. Zbl 0996.82021 Sergeev, S. 4 2001 The pentagon relation and incidence geometry. Zbl 1295.51004 Doliwa, Adam; Sergeev, Sergey M. 4 2014 \(\mathbf{X}\)-simple image eigencones of tropical matrices. Zbl 1347.15034 Plavka, Ján; Sergeev, Sergeĭ 4 2016 Classical limit for a 3D lattice spin model. Zbl 1053.82502 Korepanov, I. G.; Maillard, J.-M.; Sergeev, S. M. 3 1997 Characterizing matrices with \(\pmb{X}\)-simple image eigenspace in max-min semiring. Zbl 1413.15049 Plavka, Ján; Sergeev, Sergeĭ 3 2016 Modified tetrahedron equations and related \(3\)D integrable models. I. Zbl 1044.82530 Boos, H. E.; Mangazeev, V. V.; Sergeev, S. M. 3 1995 Characterization of tropical hemispaces by \((P, R)\)-decompositions. Zbl 1292.15028 Katz, Ricardo D.; Nitica, Viorel; Sergeev, Sergeĭ 3 2014 Modified tetrahedron equations and related 3D integrable models. Zbl 0900.35380 Boos, German E.; Mangazeev, Vladimir V.; Sergeev, Sergei M. 3 1995 Fiedler-Pták scaling in max algebra. Zbl 1281.15027 Sergeev, Sergeĭ 3 2013 On the problem \(Ax= \lambda Bx\) in max algebra: Every system of intervals is a spectrum. Zbl 1248.15023 Sergeev, Sergeĭ 3 2011 On hyperplanes and semispaces in max-min convex geometry. Zbl 1193.14076 Nitica, Viorel; Sergeev, Sergeĭ 3 2010 \(\Psi\)-vectors for three-dimensional models. Zbl 1020.82532 Sergeev, S. M.; Boos, G. E.; Mangazeev, V. V.; Stroganov, Yu. G. 2 1996 Ansatz of Hans Bethe for a two-dimensional lattice Bose gas. Zbl 1119.82009 Sergeev, S. 2 2006 Spectral equations for the modular oscillators. Zbl 1405.81103 Kashaev, Rinat M.; Sergeev, Sergey M. 2 2018 On the Markov chain tree theorem in the max algebra. Zbl 1283.15080 Gursoy, Buket Benek; Kirkland, Steve; Mason, Oliver; Sergeev, Sergei 2 2013 Tetrahedron equations, boundary states and the hidden structure of \({\mathcal U}_{q}\left(D_{n}^{(1)}\right) \). Zbl 1158.81340 Sergeev, Sergey M. 2 2009 Classical integrable field theories in discrete \((2+1)\)-dimensional spacetime. Zbl 1177.35048 Sergeev, Sergey M. 2 2009 Quantization scheme for modular \(q\)-difference equations. Zbl 1178.81159 Sergeev, S. M. 2 2005 Tetrahedron equation and quantum \(R\) matrices for modular double of \(U_q(D^{(2)}_{n+1}), U_q (A ^{(2)}_{2n})\) and \(U_q(C^{(1)}_{n})\). Zbl 1310.17014 Kuniba, Atsuo; Okado, Masato; Sergeev, Sergey 2 2015 An elliptic parameterisation of the Zamolodchikov model. Zbl 1262.81125 Bazhanov, Vladimir V.; Mangazeev, Vladimir V.; Okada, Yuichiro; Sergeev, Sergey M. 2 2013 Integrability of \(q\)-oscillator lattice model. Zbl 1236.82020 Sergeev, S. 2 2006 Quantum curve in \(q\)-oscillator model. Zbl 1125.82010 Sergeev, S. 2 2006 Coefficient matrices of a quantum discrete auxiliary linear problem. Zbl 1029.81036 Sergeev, S. M. 2 2000 On the spectrum of the local \(\mathbb{P}^2\) mirror curve. Zbl 1454.81083 Kashaev, Rinat; Sergeev, Sergey 2 2020 On the dimension of max-min convex sets. Zbl 1378.52001 Nitica, Viorel; Sergeev, Sergeĭ 1 2015 Solitons in a 3d integrable model. Zbl 0947.39011 Sergeev, S. M. 1 2000 Spectral decomposition of \(R\)-matrices for exceptional Lie algebras. Zbl 1020.17510 Sergeev, S. M. 1 1991 Auxiliary transfer matrices for three-dimensional integrable models. Zbl 1115.82313 Sergeev, S. M. 1 2000 Integrable three dimensional models in wholly discrete space-time. Zbl 1016.81030 Sergeev, S. 1 2001 Quantum relativistic Toda chain. Zbl 1109.82317 Pronko, G.; Sergeev, Sergei 1 2001 Explicit free parametrization of the modified tetrahedron equation. Zbl 1040.82020 von Gehlen, G.; Pakuliak, S.; Sergeev, S. 1 2003 Quantum relativistic Toda chain at root of unity: invariant approach. Zbl 1050.81028 Pakuliak, S.; Sergeev, S. 1 2001 Evidence for a phase transition in three-dimensional lattice models. Zbl 1178.82038 Sergeev, S. M. 1 2004 The Markov chain tree theorem in commutative semirings and the state reduction algorithm in commutative semifields. Zbl 1307.15053 Benek Gursoy, Buket; Kirkland, Steve; Mason, Oliver; Sergeev, Sergeĭ 1 2015 On the tropical discrete logarithm problem and security of a protocol based on tropical semidirect product. Zbl 1491.15030 Muanalifah, Any; Sergeev, Sergeĭ 1 2022 An interval version of separation by semispaces in max-min convexity. Zbl 1218.52002 Nitica, Viorel; Sergeev, Sergeĭ 1 2011 A bound for the rank-one transient of inhomogeneous matrix products in special case. Zbl 1449.15064 Kennedy-Cochran-Patrick, Arthur; Sergeev, Sergeĭ; Berežný, Štefan 1 2019 Quantum Lax operators and discrete \(2+1\)-dimensional integrable models. Zbl 1032.82010 Isaev, A. P.; Sergeev, S. M. 1 2003 Continuum limit of the triple tau-function model. Zbl 1037.81077 Mangazeev, V. V.; Sergeev, S. M. 1 2001 Tropical implementation of the analytical hierarchy process decision method. Zbl 1464.91034 Krivulin, Nikolai; Sergeev, Sergeĭ 1 2019 New bounds on the periodicity transient of the powers of a tropical matrix: using cyclicity and factor rank. Zbl 1458.15046 Kennedy-Cochran-Patrick, Arthur; Merlet, Glenn; Nowak, Thomas; Sergeev, Sergeĭ 1 2021 Modifying the tropical version of Stickel’s key exchange protocol. Zbl 07285954 Muanalifah, Any; Sergeev, Sergei 1 2020 On the tropical discrete logarithm problem and security of a protocol based on tropical semidirect product. Zbl 1491.15030 Muanalifah, Any; Sergeev, Sergeĭ 1 2022 New bounds on the periodicity transient of the powers of a tropical matrix: using cyclicity and factor rank. Zbl 1458.15046 Kennedy-Cochran-Patrick, Arthur; Merlet, Glenn; Nowak, Thomas; Sergeev, Sergeĭ 1 2021 On the spectrum of the local \(\mathbb{P}^2\) mirror curve. Zbl 1454.81083 Kashaev, Rinat; Sergeev, Sergey 2 2020 Modifying the tropical version of Stickel’s key exchange protocol. Zbl 07285954 Muanalifah, Any; Sergeev, Sergei 1 2020 A bound for the rank-one transient of inhomogeneous matrix products in special case. Zbl 1449.15064 Kennedy-Cochran-Patrick, Arthur; Sergeev, Sergeĭ; Berežný, Štefan 1 2019 Tropical implementation of the analytical hierarchy process decision method. Zbl 1464.91034 Krivulin, Nikolai; Sergeev, Sergeĭ 1 2019 Yang-Baxter maps, discrete integrable equations and quantum groups. Zbl 1380.81164 Bazhanov, Vladimir V.; Sergeev, Sergey M. 12 2018 Spectral equations for the modular oscillator. Zbl 1397.81263 Kashaev, Rinat M.; Sergeev, Sergey M. 10 2018 Reachability of eigenspaces for interval circulant matrices in max-algebra. Zbl 1390.15033 Plavka, Ján; Sergeev, Sergeĭ 4 2018 Spectral equations for the modular oscillators. Zbl 1405.81103 Kashaev, Rinat M.; Sergeev, Sergey M. 2 2018 Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs. Zbl 1352.37175 Bazhanov, Vladimir V.; Kels, Andrew P.; Sergeev, Sergey M. 18 2016 \(\mathbf{X}\)-simple image eigencones of tropical matrices. Zbl 1347.15034 Plavka, Ján; Sergeev, Sergeĭ 4 2016 Characterizing matrices with \(\pmb{X}\)-simple image eigenspace in max-min semiring. Zbl 1413.15049 Plavka, Ján; Sergeev, Sergeĭ 3 2016 Tetrahedron equation and generalized quantum groups. Zbl 1394.16043 Kuniba, Atsuo; Okado, Masato; Sergeev, Sergey 16 2015 Extremals of the supereigenvector cone in max algebra: a combinatorial description. Zbl 1316.15031 Sergeev, Sergeĭ 6 2015 Tropical linear algebra with the Łukasiewicz t-norm. Zbl 1373.15041 Gavalec, Martin; Němcová, Zuzana; Sergeev, Sergeĭ 4 2015 Tetrahedron equation and quantum \(R\) matrices for modular double of \(U_q(D^{(2)}_{n+1}), U_q (A ^{(2)}_{2n})\) and \(U_q(C^{(1)}_{n})\). Zbl 1310.17014 Kuniba, Atsuo; Okado, Masato; Sergeev, Sergey 2 2015 On the dimension of max-min convex sets. Zbl 1378.52001 Nitica, Viorel; Sergeev, Sergeĭ 1 2015 The Markov chain tree theorem in commutative semirings and the state reduction algorithm in commutative semifields. Zbl 1307.15053 Benek Gursoy, Buket; Kirkland, Steve; Mason, Oliver; Sergeev, Sergeĭ 1 2015 Weak CSR expansions and transience bounds in max-plus algebra. Zbl 1314.15018 Merlet, Glenn; Nowak, Thomas; Sergeev, Sergeĭ 11 2014 Generalizations of bounds on the index of convergence to weighted digraphs. Zbl 1300.05121 Merlet, Glenn; Nowak, Thomas; Schneider, Hans; Sergeev, Sergeĭ 8 2014 On sets of eigenvalues of matrices with prescribed row sums and prescribed graph. Zbl 1290.15007 Engel, Gernot Michael; Schneider, Hans; Sergeev, Sergeĭ 6 2014 Tropical convexity over max-min semiring. Zbl 1320.52002 Nitica, Viorel; Sergeev, Sergeĭ 5 2014 The pentagon relation and incidence geometry. Zbl 1295.51004 Doliwa, Adam; Sergeev, Sergey M. 4 2014 Characterization of tropical hemispaces by \((P, R)\)-decompositions. Zbl 1292.15028 Katz, Ricardo D.; Nitica, Viorel; Sergeev, Sergeĭ 3 2014 Tetrahedron equation and quantum \(R\) matrices for spin representations of \(B^{(1)}_n\), \(D^{(1)}_n\) and \(D^{(2)}_{n+1}\). Zbl 1278.81149 Kuniba, Atsuo; Sergeev, Sergey 13 2013 Comment on star-star relations in statistical mechanics and elliptic gamma-function identities. Zbl 1266.82013 Bazhanov, Vladimir V.; Kels, Andrew P.; Sergeev, Sergey M. 11 2013 An integrable 3D lattice model with positive Boltzmann weights. Zbl 1291.82027 Mangazeev, Vladimir V.; Bazhanov, Vladimir V.; Sergeev, Sergey M. 10 2013 The level set method for the two-sided max-plus eigenproblem. Zbl 1279.15024 Gaubert, Stéphane; Sergeev, Sergeĭ 10 2013 The analytic hierarchy process, max algebra and multi-objective optimisation. Zbl 1282.90087 Gursoy, Buket Benek; Mason, Oliver; Sergeev, Sergeĭ 8 2013 Two cores of a nonnegative matrix. Zbl 1305.15073 Butkovič, Peter; Schneider, Hans; Sergeev, Sergeĭ; Tam, Bit-Shun 5 2013 Fiedler-Pták scaling in max algebra. Zbl 1281.15027 Sergeev, Sergeĭ 3 2013 On the Markov chain tree theorem in the max algebra. Zbl 1283.15080 Gursoy, Buket Benek; Kirkland, Steve; Mason, Oliver; Sergeev, Sergei 2 2013 An elliptic parameterisation of the Zamolodchikov model. Zbl 1262.81125 Bazhanov, Vladimir V.; Mangazeev, Vladimir V.; Okada, Yuichiro; Sergeev, Sergey M. 2 2013 A master solution of the quantum Yang-Baxter equation and classical discrete integrable equations. Zbl 1273.81142 Bazhanov, Vladimir V.; Sergeev, Sergey M. 39 2012 Tropical linear-fractional programming and parametric mean payoff games. Zbl 1270.90081 Gaubert, Stéphane; Katz, Ricardo D.; Sergeev, Sergeĭ 24 2012 Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation. Zbl 1246.81076 Bazhanov, Vladimir V.; Sergeev, Sergey M. 22 2012 Recognizing weakly stable matrices. Zbl 1267.15024 Butkovič, Peter; Schneider, Hans; Sergeev, Sergeĭ 18 2012 On commuting matrices in max algebra and in classical nonnegative algebra. Zbl 1245.15026 Katz, Ricardo D.; Schneider, Hans; Sergeev, Sergeĭ 14 2012 CSR expansions of matrix powers in max algebra. Zbl 1307.15036 Sergeev, Sergeĭ; Schneider, Hans 12 2012 Z-matrix equations in max-algebra, nonnegative linear algebra and other semirings. Zbl 1255.15031 Butkovič, Peter; Schneider, Hans; Sergeev, Sergeĭ 7 2012 Eigenspace of a three-dimensional max-Łukasiewicz fuzzy matrix. Zbl 1246.93118 Rashid, I.; Gavalec, M.; Sergeev, S. 6 2012 Max-algebraic attraction cones of nonnegative irreducible matrices. Zbl 1226.15017 Sergeev, Sergeĭ 14 2011 Basic solutions of systems with two max-linear inequalities. Zbl 1227.15018 Sergeev, Sergeĭ; Wagneur, Edouard 5 2011 On the problem \(Ax= \lambda Bx\) in max algebra: Every system of intervals is a spectrum. Zbl 1248.15023 Sergeev, Sergeĭ 3 2011 An interval version of separation by semispaces in max-min convexity. Zbl 1218.52002 Nitica, Viorel; Sergeev, Sergeĭ 1 2011 Quantum geometry of 3-dimensional lattices and tetrahedron equation. Zbl 1211.83011 Bazhanov, Vladimir V.; Mangazeev, Vladimir V.; Sergeev, Sergey M. 10 2010 On hyperplanes and semispaces in max-min convex geometry. Zbl 1193.14076 Nitica, Viorel; Sergeev, Sergeĭ 3 2010 On visualization scaling, subeigenvectors and Kleene stars in max algebra. Zbl 1180.15027 Sergeev, Sergeĭ; Schneider, Hans; Butkovič, Peter 41 2009 Max algebraic powers of irreducible matrices in the periodic regime: an application of cyclic classes. Zbl 1175.15027 Sergeev, Sergeĭ 14 2009 Multiorder, Kleene stars and cyclic projectors in the geometry of max cones. Zbl 1179.15033 Sergeev, Sergeĭ 14 2009 Supertetrahedra and superalgebras. Zbl 1298.81110 Sergeev, Sergey M. 7 2009 Tetrahedron equations, boundary states and the hidden structure of \({\mathcal U}_{q}\left(D_{n}^{(1)}\right) \). Zbl 1158.81340 Sergeev, Sergey M. 2 2009 Classical integrable field theories in discrete \((2+1)\)-dimensional spacetime. Zbl 1177.35048 Sergeev, Sergey M. 2 2009 Exact solution of the Faddeev-Volkov model. Zbl 1217.82015 Bazhanov, Vladimir V.; Mangazeev, Vladimir V.; Sergeev, Sergey M. 25 2008 Quantum geometry of three-dimensional lattices. Zbl 1459.81053 Bazhanov, Vladimir V.; Mangazeev, Vladimir V.; Sergeev, Sergey M. 18 2008 Cyclic projectors and separation theorems in idempotent convex geometry. Zbl 1173.47045 Gaubert, S.; Sergeev, S. 9 2008 Tetrahedron equations and nilpotent subalgebras of \({\mathcal{U}}_q(\text{sl}_n)\). Zbl 1181.17007 Sergeev, Sergey Mikhailovich 5 2008 Generators, extremals and bases of max cones. Zbl 1119.15018 Butkovič, Peter; Schneider, Hans; Sergeev, Sergeĭ 45 2007 Faddeev-Volkov solution of the Yang-Baxter equation and discrete conformal symmetry. Zbl 1150.82008 Bazhanov, Vladimir V.; Mangazeev, Vladimir V.; Sergeev, Sergey M. 37 2007 Max-plus definite matrix closures and their eigenspaces. Zbl 1131.15009 Sergeev, Sergeĭ 11 2007 Quantization of three-wave equations. Zbl 1126.81048 Sergeev, S. M. 7 2007 Zamolodchikov’s tetrahedron equation and hidden structure of quantum groups. Zbl 1091.81047 Bazhanov, Vladimir V.; Sergeev, Sergey M. 48 2006 Ansatz of Hans Bethe for a two-dimensional lattice Bose gas. Zbl 1119.82009 Sergeev, S. 2 2006 Integrability of \(q\)-oscillator lattice model. Zbl 1236.82020 Sergeev, S. 2 2006 Quantum curve in \(q\)-oscillator model. Zbl 1125.82010 Sergeev, S. 2 2006 Quantization scheme for modular \(q\)-difference equations. Zbl 1178.81159 Sergeev, S. M. 2 2005 Evidence for a phase transition in three-dimensional lattice models. Zbl 1178.82038 Sergeev, S. M. 1 2004 Explicit free parametrization of the modified tetrahedron equation. Zbl 1040.82020 von Gehlen, G.; Pakuliak, S.; Sergeev, S. 1 2003 Quantum Lax operators and discrete \(2+1\)-dimensional integrable models. Zbl 1032.82010 Isaev, A. P.; Sergeev, S. M. 1 2003 Complex of three-dimensional solvable models. Zbl 0996.82021 Sergeev, S. 4 2001 Integrable three dimensional models in wholly discrete space-time. Zbl 1016.81030 Sergeev, S. 1 2001 Quantum relativistic Toda chain. Zbl 1109.82317 Pronko, G.; Sergeev, Sergei 1 2001 Quantum relativistic Toda chain at root of unity: invariant approach. Zbl 1050.81028 Pakuliak, S.; Sergeev, S. 1 2001 Continuum limit of the triple tau-function model. Zbl 1037.81077 Mangazeev, V. V.; Sergeev, S. M. 1 2001 On exact solution of a classical 3D integrable model. Zbl 0956.39016 Sergeev, S. M. 4 2000 Coefficient matrices of a quantum discrete auxiliary linear problem. Zbl 1029.81036 Sergeev, S. M. 2 2000 Solitons in a 3d integrable model. Zbl 0947.39011 Sergeev, S. M. 1 2000 Auxiliary transfer matrices for three-dimensional integrable models. Zbl 1115.82313 Sergeev, S. M. 1 2000 Quantum \(2+1\) evolution model. Zbl 0962.81023 Sergeev, S. M. 12 1999 3D symplectic map. Zbl 0937.37042 Sergeev, S. M. 5 1999 Functional tetrahedron equation. Zbl 0941.82018 Kashaev, R. M.; Korepanov, I. G.; Sergeev, S. M. 36 1998 Solutions of the functional tetrahedron equation connected with the local Yang-Baxter equation for the ferro-electric condition. Zbl 0908.35111 Sergeev, S. M. 22 1998 On pentagon, ten-term, and tetrahedron relations. Zbl 0937.16045 Kashaev, R. M.; Sergeev, S. M. 17 1998 Two-dimensional \(R\)-matrices—descendants of three-dimensional \(R\)-matrices. Zbl 1022.81588 Sergeev, S. M. 7 1997 Classical limit for a 3D lattice spin model. Zbl 1053.82502 Korepanov, I. G.; Maillard, J.-M.; Sergeev, S. M. 3 1997 The vertex formulation of the Bazhanov-Baxter model. Zbl 1042.82528 Sergeev, S. M.; Mangazeev, V. V.; Stroganov, Yu. G. 18 1996 \(\Psi\)-vectors for three-dimensional models. Zbl 1020.82532 Sergeev, S. M.; Boos, G. E.; Mangazeev, V. V.; Stroganov, Yu. G. 2 1996 New solution of vertex type tetrahedron equations. Zbl 1020.82561 Mangazeev, V. V.; Sergeev, S. M.; Stroganov, Yu. G. 5 1995 Modified tetrahedron equations and related \(3\)D integrable models. I. Zbl 1044.82530 Boos, H. E.; Mangazeev, V. V.; Sergeev, S. M. 3 1995 Modified tetrahedron equations and related 3D integrable models. Zbl 0900.35380 Boos, German E.; Mangazeev, Vladimir V.; Sergeev, Sergei M. 3 1995 New series of 3D lattice integrable models. Zbl 0988.82503 Mangazeev, V. V.; Sergeev, S. M.; Stroganov, Yu. G. 7 1994 Spectral decomposition of \(R\)-matrices for exceptional Lie algebras. Zbl 1020.17510 Sergeev, S. M. 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 349 Authors 39 Sergeev, Sergeĭ Mikhaĭlovich 15 Gaubert, Stéphane 13 Plavka, Ján 13 Spiridonov, Vyacheslav Pavlovich 12 Kuniba, Atsuo 10 Derkachëv, Sergeĭ Èduardovich 10 Kels, Andrew P. 9 Allamigeon, Xavier 9 Butkovič, Peter 9 Konstantinou-Rizos, Sotiris 9 Korepanov, Igor Germanovich 9 Myšková, Helena 9 Yamazaki, Masahito 8 Bazhanov, Vladimir V. 8 Kassotakis, Pavlos G. 8 Mangazeev, Vladimir V. 8 Okado, Masato 7 Kashaev, Rinat M. 7 Katz, Ricardo David 7 Suris, Yuri Borisovich 6 de la Puente, Maria Jesus 6 Krivulin, Nikolai K. 6 Mariño, Marcos 6 Merlet, Glenn 6 Niţică, Viorel 6 Talalaev, Dmitry V. 6 Wang, Huili 5 Doliwa, Adam 5 Gahramanov, Ilmar 5 Guterman, Alexander Èmilevich 5 Kwon, Jae-Hoon 5 Manashov, Alexander N. 5 Sarkissian, Gor 5 Schneider, Hans 5 Wang, Xueping 4 Bobenko, Alexander Ivanovich 4 Chicherin, Dmitry 4 Gonçalves, Vinicius Mariano 4 Hardouin, Laurent 4 Igonin, Sergeĭ Aleksandrovich 4 Izhakian, Zur 4 Maia, Carlos Andrey 4 Nieszporski, Maciej 4 Nowak, Thomas 4 Peperko, Aljoša 4 Yagi, Junya 4 Yoneyama, Akihito 4 Yu, Baomin 4 Zakany, Szabolcs 4 Zenkevich, Yegor 3 Deng, Weina 3 Dimakis, Aristophanes 3 Gavalec, Martin 3 Grassi, Alba 3 Johnson, Marianne 3 Kambites, Mark 3 Kennedy-Cochran-Patrick, Arthur 3 Maccaig, Marie 3 Niv, Adi 3 Petrera, Matteo 3 Tran, Ngoc Mai 3 Vartanov, Grigory S. 2 Akian, Marianne 2 Betchewe, Gambo 2 Bouetou Bouetou, Thomas 2 Catino, Francesco 2 Doikou, Anastasia 2 Engel, Gernot Michael 2 Fahrenberg, Uli 2 Goubault, Eric 2 Hatsuda, Yasuyuki 2 Hou, Boyu 2 Hu, Zhanning 2 Kofané, Timoléon Crépin 2 Kozlowski, Karol Kajetan 2 Kuetche, Kamgang Victor 2 Litvinov, Grigory Lazarevich 2 Mairesse, Jean 2 Maruyama, Shouya 2 Mason, Oliver 2 Mazzotta, Marzia 2 Müller-Hoissen, Folkert 2 Müller, Vladimír 2 Němcová, Zuzana 2 Nishida, Yuki 2 Papageorgiou, Vassilios G. 2 Pasquier, Vincent 2 Preobrazhenskaia, M. M. 2 Protasov, Vladimir Yu. 2 Saito, Satoru 2 Sciarappa, Antonio 2 Semenyakin, Mykola 2 Sergeev, Sergeĭ N. 2 Shitov, Yaroslav Nikolaevich 2 Tao, Yuegang 2 Tongas, Anastasios G. 2 Tsuboi, Zengo 2 Valinevich, Pavel A. 2 Wagneur, Edouard 2 Wang, Cailu ...and 249 more Authors all top 5 Cited in 86 Serials 55 Linear Algebra and its Applications 28 Journal of Physics A: Mathematical and Theoretical 27 Journal of High Energy Physics 18 Theoretical and Mathematical Physics 14 Nuclear Physics. B 13 Communications in Mathematical Physics 13 Letters in Mathematical Physics 13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Journal of Statistical Physics 7 Discrete Applied Mathematics 7 Fuzzy Sets and Systems 7 Annales Henri Poincaré 6 Journal of Mathematical Physics 6 Linear and Multilinear Algebra 6 Kybernetika 4 Journal of Geometry and Physics 4 Semigroup Forum 4 SIAM Journal on Discrete Mathematics 4 Discrete Event Dynamic Systems 3 Nonlinearity 3 Physics Letters. 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The Electronic Journal of Linear Algebra 2 Soft Computing 2 Lobachevskii Journal of Mathematics 2 Journal of Algebra and its Applications 2 Journal of Statistical Mechanics: Theory and Experiment 1 International Journal of Modern Physics A 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. B 1 Physics Reports 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 Geometriae Dedicata 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Studies in Applied Mathematics 1 Advances in Applied Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Operations Research Letters 1 Acta Applicandae Mathematicae 1 Annals of Operations Research 1 Journal of Knot Theory and its Ramifications 1 Vestnik St. Petersburg University. Mathematics 1 Journal of Algebraic Combinatorics 1 Topological Methods in Nonlinear Analysis 1 Applied Categorical Structures 1 The Electronic Journal of Combinatorics 1 Journal of Convex Analysis 1 Journal of Mathematical Chemistry 1 Transformation Groups 1 European Journal of Control 1 Mathematical Physics, Analysis and Geometry 1 Journal of Combinatorial Optimization 1 Algebras and Representation Theory 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 The Journal of Logic and Algebraic Programming 1 Proceedings of the Steklov Institute of Mathematics 1 Communications in Theoretical Physics 1 Journal of Computational Dynamics 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 Special Matrices 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Algebraic Statistics all top 5 Cited in 49 Fields 119 Quantum theory (81-XX) 114 Linear and multilinear algebra; matrix theory (15-XX) 86 Associative rings and algebras (16-XX) 59 Statistical mechanics, structure of matter (82-XX) 51 Algebraic geometry (14-XX) 46 Dynamical systems and ergodic theory (37-XX) 40 Nonassociative rings and algebras (17-XX) 30 Combinatorics (05-XX) 26 Difference and functional equations (39-XX) 26 Numerical analysis (65-XX) 23 Convex and discrete geometry (52-XX) 23 Operations research, mathematical programming (90-XX) 22 Special functions (33-XX) 22 Partial differential equations (35-XX) 13 Relativity and gravitational theory (83-XX) 11 Computer science (68-XX) 9 Functional analysis (46-XX) 9 Mechanics of particles and systems (70-XX) 9 Systems theory; control (93-XX) 8 Group theory and generalizations (20-XX) 8 Manifolds and cell complexes (57-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Probability theory and stochastic processes (60-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Operator theory (47-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 General algebraic systems (08-XX) 4 Topological groups, Lie groups (22-XX) 4 Geometry (51-XX) 3 Field theory and polynomials (12-XX) 3 Differential geometry (53-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year