BIMSA > 康斯坦丁•卡宁
研究员 康斯坦丁•卡宁

团队: 统计、概率和数据科学

办公室: A15-207

邮箱: khanin@bimsa.cn

研究方向: 动力系统，统计力学，概率论，遍历理论，数学物理，湍流理论

个人简介

Khanin received his PhD from the Landau Institute of Theoretical Physics in Moscow and continued working there as a Research Associate until 1994.[2] Afterwards, he taught at Princeton University, at the Isaac Newton Institute in Cambridge, and at Heriot-Watt University before joining the faculty at the University of Toronto. Khanin was an invited speaker at the European Congress of Mathematics in Barcelona in 2000. He was a 2013 Simons Foundation Fellow. He held the Jean-Morlet Chair at the Centre International de Rencontres Mathématiques in 2017, and he was an Invited Speaker at the International Congress of Mathematicians in 2018 in Rio de Janeiro. In 2021 he was awarded The Humboldt Prize, also known as the Humboldt Research Award, in recognition of his lifetime's research achievements.

教育经历

  • - 1977      Moscow State University      Mathematics      Thesis: Gaussian Gibbs Random Fields
  • - 1983      L.D.Landau Institute for Theoretical Physics, Moscow      Mathematical Physics      Thesis: Self-averaging in Random Media      (Supervisor: Prof. Yakov Sinai)

工作经历

  • 2024 -      BIMSA      Professor
  • 2016 - 2021      Department of Mathematical and Computational Sciences, University of Toronto Mississauga      Chair
  • 2013 - 2024      Institute for Information Transmission Problems, Moscow      Leading Research Fellow
  • 2008 - 2013      Department of Mathematical and Computational Sciences, University of Toronto Mississauga      Chair
  • 2005 - 2024      Department of Mathematics, University of Toronto      Professor
  • 1999 - 2004      Isaac Newton Institute for Mathematical Sciences, University of Cambridge      Hewlett-Packard Senior Research Fellow
  • 1996 - 2005      Department of Mathematics, Heriot-Watt University, Edinburgh      Professor
  • 1994 - 1996      Department of Mathematics, Princeton University      Visiting Associate Professor
  • 1978 - 1994      L.D.Landau Institute for Theoretical Physics      Research Associate, Senior Research Fellow

出版物

  • [1] T. Hurth, K. Khanin, B. N. Lameda, On global solutions to the semidiscrete stochastic heat equation, 2025 (2025)
  • [2] D. Roy, A. Dhar, K. Khanin, M. Kulkarni, H. Spohn, Universality in coupled stochastic Burgers systems with degenerate flux Jacobian, Journal of Statistical Mechanics: Theory and Experiment, 2024(3), 033209 (2024)
  • [3] K Khanin, L Li, On the rate of convergence to coalescing Brownian motions, Annales de l'Institut Henri Poincare (B) Probabilites et statistiques, 60(1), 208-231 (2024)
  • [4] K. Khanin, L. Li, On the rate of convergence to the coalescing Brownian motions, Annales de lInstitut Henri Poincare (B), 60(1), 208-231 (2024)
  • [5] T. Hurth, K. Khanin, B. Navarro Lameda, F. Nazarov, On a factorization formula for the partition function of directed polymers, Journal of Statistical Physics, 190(10), 165 (2023)
  • [6] Yu. Bakhtin, K. Khanin, A. Mészáros, J. Voltz, Last passage percolation in a product-type random environment, arXiv preprint arXiv:2310.08379, 2024 (2023)
  • [7] K Khanin, K Zhang, L Zhang, Uniform exponential contraction for viscous Hamilton–Jacobi equations, Calculus of Variations and Partial Differential Equations, 62(3), 82 (2023)
  • [8] K. Khanin, K. Zhang, L. Zhang, Uniform exponential contraction for viscous Hamilton-Jacobi equations, Calculus of Variations and Partial Differential Equations, 62(3), 1-35 (2023)
  • [9] N. Goncharuk, K. Khanin, Yu. Kudryashov, Smooth Circle Homeomorphisms with Breaks without C2 Conjugacy, Journal of Modern Dynamics, 19, 751-772 (2023)
  • [10] N Goncharuk, K Khanin, Y Kudryashov, Circle homeomorphisms with breaks with no conjugacy., Journal of Modern Dynamics, 19 (2023)
  • [11] K. Khanin, L. Li, and Z. Yin, Point fields of last passage percolation and coalescing fractional Brownian motions, Physical Review E, 105(6), 064127 (2022)
  • [12] K Khanin, L Li, On end-point distribution for directed polymers and related problems for randomly forced Burgers equation, Philosophical Transactions of the Royal Society A, 380(2219), 20210081 (2022)
  • [13] S Ghazouani, K Khanin, The symplectic structure for renormalization of circle diffeomorphisms with breaks, Communications in Contemporary Mathematics, 24(01), 2150016 (2022)
  • [14] S. Ghazouani, K. Khanin, The symplectic structure of renormalisation of circle diffeomorphisms with breaks, Communications in Contemporary Mathematics, 24(1), 2150016-1 -- 2150016-23 (2022)
  • [15] K. Khanin, L. Li, On End-Point Distribution for Directed Polymers and Related Problems for Random Forced Burgers Equation, Philosophical Transactions of the Royal Society A, 380(2219), 1-13 (2022)
  • [16] N Goncharuk, K Khanin, Y Kudryashov, Circle homeomorphisms with breaks with no conjugacy, arXiv preprint arXiv:2112.02765 (2021)
  • [17] K Khanin, L Li, On asymptotic behavior of iterates of piecewise constant monotone maps, arXiv preprint arXiv:2110.09731 (2021)
  • [18] K. Khanin, Rigidity for circle diffeomorphisms with breaks satisfying a Zygmund smoothness condition, arXiv preprint arXiv:2107.12905, 2024 (2021)
  • [19] K. Khanin, Ya. Sinai, Mitchell Feigenbaum: Naturphilosoph and a Friend, Notices of the AMS, 68(5), 26 (2021)
  • [20] K Khanin, M Lyubich, ED Siggia, Y Sinai, Mitchell Feigenbaum, Notices of the American Mathematical Society, 68(5) (2021)
  • [21] S Gusein-Zade, Y Ilyashenko, K Khanin, S Shlosman, Y Sinai et al., ROLAND LVOVICH DOBRUSHIN (July 20, 1929-November 12, 1995), MOSCOW MATHEMATICAL JOURNAL, 20(4), 641-644 (2020)
  • [22] R Iturriaga, K Khanin, K Zhang, Exponential convergence of solutions for random Hamilton–Jacobi equations, Stochastics and Partial Differential Equations: Analysis and Computations, 8, 544-579 (2020)
  • [23] A Avila, K Khanin, M Leguil, Invariant graphs and spectral type of Schr\" odinger operators, arXiv preprint arXiv:2004.09137 (2020)
  • [24] R. Iturriaga, K. Khanin, K. Zhang, Exponential Convergence of Solutions for Random Hamilton-Jacobi Equations, Stochastics and Partial Differential Equations: Analysis and Computations, 8, 544-579 (2020)
  • [25] A. Avila, K. Khanin, M. Leguil, Invariant graphs and spectral type of Schrodinger operators, Pure and Applied Functional Analysis, 5(6), 1257-1277 (2020)
  • [26] K Khanin, S Kocić, Hausdorff dimension of invariant measure of circle diffeomorphisms with a break point, Ergodic theory and dynamical systems, 39(5), 1331-1339 (2019)
  • [27] K. Khanin, S. Kocic, Hausdorff dimension of invariant measure of circle diffeomorphisms with breaks, Ergodic Theory & Dynamical Systems, 39(5), 1331-1339 (2019)
  • [28] K. Khanin, Mathematical Physics, The Abel Prize 2013-2017, Editors H. Holden and R. Piene, 243-255 (2019)
  • [29] K. Khanin, S. Kocic, Robust local Hölder rigidity of circle maps with breaks, Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 35(7), 1827-1845 (2018)
  • [30] A Habibulla, D Akhtam, K Khanin, On Linearization of Circle, Differential Equations and Dynamical Systems: 2 USUZCAMP, Urgench, Uzbekistan, August 8–12, 2017, 268, 1 (2018)
  • [31] Y Bakhtin, K Khanin, On global solutions of the random Hamilton–Jacobi equations and the KPZ problem, Nonlinearity, 31(4), R93 (2018)
  • [32] Yu. Bakhtin, K. Khanin, On global solutions of random Hamilton-Jacobi equations and the KPZ problem, Nonlinearity, 31, R93-R121 (2018)
  • [33] K. Khanin, Renormalization and rigidity, , 2, 1973-1993 (2018)
  • [34] AF Ismail, EYT Adesta, AHM Alam, AN Nordin, HM Salleh, A Al-Mamun et al., IIUM ENGINEERING JOURNAL, IIUM Engineering Journal, 19(1), 1 (2018)
  • [35] K Khanin, K Zhang, Hyperbolicity of minimizers and regularity of viscosity solutions for a random Hamilton–Jacobi equation, Communications in Mathematical Physics, 355, 803-837 (2017)
  • [36] H Akhadkulov, A Dzhalilov, K Khanin, Notes on a theorem of Katznelson and Ornstein, Discrete and Continuous Dynamical Systems, 37(9), 4587-4609 (2017)
  • [37] H. Akhadkulov, A. Dzhalilov, K. Khanin, On linearization of circle diffeomorphisms, , 1-8 (2017)
  • [38] EB Vul, YG Sinai, KM Khanin, Feigenbaum universality and the thermodynamic formalism, Universality in Chaos, 491-530 (2017)
  • [39] K. Khanin, S. Kocic, On the smoothness of the conjugacy between circle maps with a break, Proceedings of the Steklov Institute of Mathematics, 297, 200-207 (2017)
  • [40] K. Khanin, Mathematical Journey of Yakov Sinai, Journal of Statistical Physics, 166(3), 463-466 (2017)
  • [41] K. Khanin, S. Kocic, E. Mazzeo, C1-rigidity of circle diffeomorphisms with breaks for almost all rotation numbers, Ann. Sci. Ec. Norm. Super., 50, 1163-1203 (2017)
  • [42] K. Khanin, S. Kocic, Rigidity for a class of generalized interval exchange transformations, Contemp. Math, 698, 16-26 (2017)
  • [43] H. Akhadkulov, A. Dzhalilov, K. Khanin, Note on a theorem of Katznelson and Ornstein, Discrete and Continuous Dynamical Systems- Series A, 37(9), 4587-4609 (2017)
  • [44] K. Khanin, K. Zhang, Hyperbolicity of Minimizers and Regularity of Viscosity Solutions for Random Hamilton-Jacobi Equation, Comm Math Physics, 355, 803-837 (2017)
  • [45] K Khanin, S Kocic, E Mazzeo, C^1 -rigidity of circle diffeomorphisms with breaks for almost all rotation numbers, Ann. Sci. Ec. Norm. Sup´er. ´, 50, 1163-1203 (2017)
  • [46] K Khanin, A Sobolevski, On dynamics of Lagrangian trajectories for Hamilton–Jacobi equations, Archive for Rational Mechanics and Analysis, 219(2), 861-885 (2016)
  • [47] K. Khanin, A. Sobolevski, On Dynamics of Lagrangian Trajectories for Hamilton-Jacobi Equations, Archive for Rational Mechanics and Analysis, 219(2), 861-885 (2016)
  • [48] K. Khanin, S. Kocic, Renormalization conjecture and rigidity theory for circle diffeomorphisms with breaks, Geometric and Functional Analysis, 24(6), 2002-2028 (2014)
  • [49] A. Bufetov, B. Gurevich, K. Khanin, F. Cellarosi, The Abel Prize award to Ya. G. Sinai, , 69(5), 931 (2014)
  • [50] T Alberts, K Khanin, J Quastel, The intermediate disorder regime for directed polymers in dimension$1+1$, 42(3), 1212-1256 (2014)
  • [51] Yu. Bakhtin, E. Cator, K. Khanin, Space-time stationary solutions for the Burgers equation, Journal of the American Mathematical Society, 27(1), 193-238 (2014)
  • [52] T. Alberts, K. Khanin, J. Quastel, The Intermediate Disorder Regime for Directed Polymers in Dimension 1+1, Annals of Probability, 42(3), 1212-1256 (2014)
  • [53] T. Alberts, K. Khanin, J. Quastel, The continuum directed random polymer, Journal of Statistical Physics, 154(1), 305-326 (2014)
  • [54] K. Khanin, M. Yampolsky, Hyperbolicity of renormalization of circle maps with a break-type singularity, arXiv preprint arXiv:1312.4184, 15, 107-121 (2013)
  • [55] K Khanin, A Teplinsky, Renormalization horseshoe and rigidity for circle diffeomorphisms with breaks, Communications in Mathematical Physics, 320, 347-377 (2013)
  • [56] K Khanin, S Kocić, Absence of robust rigidity for circle maps with breaks, Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 30(3), 385-399 (2013)
  • [57] K Konstantin, Y Tatiana, Ergodic properties of random billiards driven by thermostats, Communications in Mathematical Physics, 320(1), 121-147 (2013)
  • [58] A Boritchev, K Khanin, On the hyperbolicity of minimizers for 1D random Lagrangian systems, Nonlinearity, 26(1), 65 (2012)
  • [59] A Grigo, K Khanin, D Szasz, Mixing rates of particle systems with energy exchange, Nonlinearity, 25(8), 2349 (2012)
  • [60] K Khanin, Intermediate Disorder Regime for Directed Polymers and KPZ Scalings, The Nature of Turbulence, 34 (2011)
  • [61] K Khanin, S Nechaev, G Oshanin, A Sobolevski, O Vasilyev, Ballistic deposition patterns beneath a growing Kardar-Parisi-Zhang interface, Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 82(6), 061107 (2010)
  • [62] OY Teplins’ kyi, KM Khanin, Smooth conjugacy of circle diffeomorphisms with break, Nonlinear Oscillations, 13(1), 112-127 (2010)
  • [63] T Alberts, K Khanin, J Quastel, Intermediate Disorder Regime for Directed Polymers in Dimension$1+1$, Physical review letters, 105(9), 090603 (2010)
  • [64] K Khanin, S Koci, Examples of non-rigidity for circle homeomorphisms with breaks, (2010)
  • [65] K Khanin, A Sobolevski, Particle dynamics inside shocks in Hamilton–Jacobi equations, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 368(1916), 1579-1593 (2010)
  • [66] P Bachurin, K Khanin, J Marklof, A Plakhov, Perfect retroreflectors and billiard dynamics, arXiv preprint arXiv:0911.1984 (2009)
  • [67] K Khanin, A Teplinsky, Herman’s theory revisited, Inventiones mathematicae, 178, 333-344 (2009)
  • [68] Y Bakhtin, K Khanin, Localization and Perron--Frobenius theory for directed polymers, arXiv preprint arXiv:0909.2293 (2009)
  • [69] B Fayad, K Khanin, Smooth Linearization of Commuting Circle Diffeomorphisms, Annals of Mathematics, 170(2), 960-981 (2009)
  • [70] P BACHURIN, K KHANIN, J MARKLOF, A PLAKHOV, EXITS FROM A SEMI-INFINITE TUBE, preparation (2007)
  • [71] J Bec, K Khanin, Burgers turbulence, Physics reports 447 (1-2), 1-66 (2007)
  • [72] K Khanin, A Teplinsky, Robust rigidity for circle diffeomorphisms with singularities, Inventiones mathematicae, 169(1), 193-218 (2007)
  • [73] K Khanin, JL Dias, J Marklof, Multidimensional continued fractions, dynamical renormalization and KAM theory, Communications in mathematical physics, 270(1), 197-231 (2007)
  • [74] K Khanin, JL Dias, J Marklof, Renormalization of multidimensional Hamiltonian flows, Nonlinearity, 19(12), 2727 (2006)
  • [75] U Frisch, K Khanin, T Matsumoto, Multifractality of the Feigenbaum attractor and fractional derivatives, Journal of statistical physics, 121, 671-695 (2005)
  • [76] D Gomes, R Iturriaga, K Khanin, P Padilla, Viscosity limit of stationary distributions for the random forced Burgers equation, Mosc. Math. J, 5(3), 613-631 (2005)
  • [77] KM Khanin, DV Khmelev, AN Sobolevski, On the velocities of Lagrangian minimizers, Moscow Mathematical Journal, 5(1), 157-169 (2005)
  • [78] YS Ilyashenko, KM Khanin, S Shlosman, MA Tsfasman, Yakov G. Sinai, Moscow Mathematical Journal, 5(3), 497-498 (2005)
  • [79] AY Teplinskii, KM Khanin, Rigidity for circle diffeomorphisms with singularities, Russian Mathematical Surveys, 59(2) (2004)
  • [80] K Khanin, D Khmelev, A Sobolevskii, A blow-up phenomenon in the Hamilton-Jacobi equation in an unbounded domain, arXiv preprint math/0312395 (2003)
  • [81] J Bec, K Khanin, Forced Burgers equation in an unbounded domain, Journal of statistical physics, 113, 741-759 (2003)
  • [82] K Khanin, D Khmelev, Renormalizations and rigidity theory for circle homeomorphisms with singularities of the break type, Communications in mathematical physics, 235, 69-124 (2003)
  • [83] VH Hoang, K Khanin, Random Burgers equation and Lagrangian systems in non-compact domains, Nonlinearity, 16(3), 819 (2003)
  • [84] R Iturriaga, K Khanin, Burgers turbulence and random Lagrangian systems, Communications in Mathematical Physics, 232, 377-428 (2003)
  • [85] D Gomes, R Iturriaga, K Khanin, P Padilla, Convergence of viscosity solutions of Burgers equation with random forcing, Preprint (2003)
  • [86] AVVIOA Rybko, KM Khanin, DV Khmelev, A Nonlinear Generalization of Perron's theorem, Doklady Mathematics, 67(2), 221-225 (2003)
  • [87] LG Fel, KM Khanin, On Effective Conductivity on ℤLattice, Journal of statistical physics, 108, 1015-1031 (2002)
  • [88] J Bec, R Iturriaga, K Khanin, Topological shocks in Burgers turbulence, Physical review letters, 89(2), 024501 (2002)
  • [89] DM Hardcastle, K Khanin, The d-dimensional Gauss transformation: strong convergence and Lyapunov exponents, Experimental Mathematics, 11(1), 119-129 (2002)
  • [90] K Khanin, D Khmelev, A Rybko, A Vladimirov, Steady solutions for FIFO networks, Moscow mathematical journal, 1(3), 407-419 (2001)
  • [91] J Bec, U Frisch, K Khanin, B Villone, A universal law for tails of density pdf's in multi-dimensional Burgers turbulence, arXiv preprint astro-ph/0101298 (2001)
  • [92] K Khanin, R Khanin, A probabilistic model for the establishment of neuron polarity, Journal of Mathematical Biology, 42, 26-40 (2001)
  • [93] DM Hardcastle, K Khanin, Continued fractions and the d-dimensional Gauss transformation, Communications in Mathematical Physics, 215, 487-515 (2001)
  • [94] R Iturriaga, K Khanin, Burgers turbulence and dynamical systems, European Congress of Mathematics, 1, 429-443 (2001)
  • [95] JL Lebowitz, K Khanin, E Wienan, V Yakhot, G Gallavotti, H van Beijeren, Program of the 84th Statistical Mechanics Meeting, Journal of Statistical Physics, 103(5/6) (2001)
  • [96] DM Hardcastle, K Khanin, On almost everywhere strong convergence of multi-dimensional continued fraction algorithms, Ergodic Theory and Dynamical Systems, 20(6), 1711-1733 (2000)
  • [97] J Bec, U Frisch, K Khanin, Kicked burgers turbulence, Journal of Fluid Mechanics, 416, 239-267 (2000)
  • [98] K Khanin, A Mazel, Invariant measures for Burgers equation with stochastic forcing, Annals of mathematics, 151(3), 877-960 (2000)
  • [99] DM Hardcastle, K Khanin, MR1804954 (2001k: 11151) 11K50, Ergodic Theory Dynam. Systems, 20(6), 1711-1733 (2000)
  • [100] K Khanin, Burgers Equation with Random Force, Proceedings of the XII International Congress in Mathematical Physics (1999)
  • [101] AA Dzhalilov, KM Khanin, On an invariant measure for homeomorphisms of a circle with a point of break, Functional Analysis and its Applications, 32(3), 153-161 (1998)
  • [102] E Weinan, K Khanin, A Mazel, Y Sinai, Probability distribution functions for the random forced Burgers equation, Physical review letters, 78(10), 1904 (1997)
  • [103] KM Khanin, Rigidity for circle homeomorphisms with a break-type singularity, Doklady Mathematics, 56(3), 859-861 (1997)
  • [104] K Khanin, Rigidity for Circle Homeomorphisms with Break Singularity, Physics-Doklady, 56, 859-861 (1997)
  • [105] K Khanin, Y Sinai, Hyperbolicity of minimizing trajectories for two-dimensional Hamiltonian systems with random forcing, Proceedings of the Steklov Institute of Mathematics, 216, 169-174 (1997)
  • [106] AA Dzhalilov, KM Khanin, On an invariant measure for homeomorphisms of the circle with a single break point, Russian Mathematical Surveys, 51(6), 1198 (1996)
  • [107] BR Hunt, KM Khanin, YG Sinai, JA Yorke, Fractal properties of critical invariant curves, Journal of statistical physics, 85, 261-276 (1996)
  • [108] SP Novikov, LA Bunimovich, AM Vershik, BM Gurevich, EI Dinaburg et al., Yakov Grigor'evich Sinai (on his sixtieth birthday), Russian Mathematical Surveys, 51(4), 765 (1996)
  • [109] KM Khanin, Mixing for area-preserving flows on the two-dimensional torus, International Journal of Modern Physics B, 10(18), 2167-2188 (1996)
  • [110] KM Khanin, Random walks in a random potential: loop condensation effects, International Journal of Modern Physics B, 10(18), 2393-2404 (1996)
  • [111] KM Khanin, Rigidity in one-dimensional dynamics, International Journal of Modern Physics B, 10(18), 2311-2324 (1996)
  • [112] EB Vul, YG Sinai, KM Khanin, Feigenbaum universality and the thermodynamic, 30 Years of the Landau Institute: Selected Papers, 11(3), 389 (1996)
  • [113] BR Hunt, KM Khanin, Yakov G. Sinai 2; 3, and James A. Yorke December 31, 1995, (1995)
  • [114] K Khanin, Y Kifer, Thermodynamic formalism for random transformations and statistical mechanics, American Mathematical Society Translations: Series 2, 107-140 (1995)
  • [115] KM Khanin, JL Lebowitz, AE Mazel, YG Sinai, Self-avoiding walks in five or more dimensions: polymer expansion approach, Russian Mathematical Surveys, 50(2), 403 (1995)
  • [116] KM Khanin, AE Mazel, SB Shlosman, YG Sinai, Loop condensation effects in the behavior of random walks, The Dynkin Festschrift: Markov Processes and their Applications, 167-184 (1994)
  • [117] YG Sinai, KM Khanin, Mixing for some classes of special flows over rotations of the circle, Functional Analysis and Its Applications, 26(3), 155-169 (1992)
  • [118] KM Khanin, YG Sinai, Mixing of some classes of special flows over rotations of the circle, Funct. Anal. Appl, 26(3), 155-169 (1992)
  • [119] EM Lifshitz, IM Khalatnikov, YG Sinai, KM Khanin, LN Shchur, On the stochastic properties of relativistic cosmological models near the singularity, Perspectives in Theoretical Physics, 731-735 (1992)
  • [120] YG Sinai, KM Khanin, Mixing for certain classes of special flows over the circle shift, Func, Anal. and Appl, 26, 155 (1992)
  • [121] KM Khanin, Universal estimates for critical circle mappings., Chaos (Woodbury, NY), 1(2), 181-186 (1991)
  • [122] KM Khanin, EB Vul, Circle homeomorphisms with weak discontinuities, Advances in Sov. Math, 3, 57-98 (1991)
  • [123] ВА Гурвич, КМ Ханин, Распределение Пуассона для количества пар близких точек, Доклады Академии наук, 316(3), 533-538 (1991)
  • [124] VA Gurvich, KM Khanin, The Gaussian distribution for sums of distances, Doklady Akademii Nauk, 316(2), 279-284 (1991)
  • [125] EB Vul, KM Khanin, Homeomorphisms of the circle with singularities of “break” type, Russian Mathematical Surveys, 45(3), 229 (1990)
  • [126] K Khanin, Thermodynamic formalism for critical circle mappings, Chaos, 71-90 (1990)
  • [127] YG Sinai, KM Khanin, Smoothness of conjugacies of diffeomorphisms of the circle with rotations, Russian Mathematical Surveys, 44(1) (1989)
  • [128] YG Sinai, KM Khanin, Renormalization group method in the theory of dynamical systems, Int. J. Mod. Phys. B;(United States), 2(2) (1988)
  • [129] VM Kharlamov, AN Varchenko, VM Petkov, YG Sinai, KM Khanin et al., Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics (September, 30–December, 9, 1987), Uspekhi Matematicheskikh Nauk, 43(3), 239-245 (1988)
  • [130] AI Gol'berg, VA Gurvich, MY Rozenblyum, KM Khanin, The conditions of solubility by domination of concave n-person games, Russian Mathematical Surveys, 42(2), 277 (1987)
  • [131] KM Khanin, YG Sinai, A new proof of M. Herman's theorem, Communications in Mathematical Physics, 112, 89-101 (1987)
  • [132] K Khanin, YG Sinai, The renormalization group method and Kolmogorov-Arnold-Moser theory, Nonlinear phenomena in plasma physics and hydrodynamics, 31-64 (1986)
  • [133] IG Sinai, KM Khanin, LH Shchur, A new approach to the plotting of fixed points of renormalization groups in dynamic systems, Radiofizika, 29(9), 1061-1066 (1986)
  • [134] YG SINAJ, KM KHANIN, LN SHUR, A NEW APPROACH TO THE CONSTRUCTION OF FIXED-POINTS OF RENORMALIZATION-GROUP TRANSFORMATIONS IN DYNAMIC-SYSTEMS, IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOFIZIKA, 29(9), 1061-1066 (1986)
  • [135] IM Khalatnikov, EM Lifshitz, KM Khanin, LN Shchur, YG Sinai, On the stochasticity in relativistic cosmology, Journal of statistical physics, 38, 97-114 (1985)
  • [136] EM Lifshits, IM Khalatnikov, YG Sinaj, KM Khanin, LN Shchur, Stochastic properties of relativistic cosmological models near a singularity, Pis' ma Zh. Eksp. Teor. Fiz.;(USSR), 38(2) (1983)
  • [137] AI Gol'berg, YG Sinai, KM Khanin, Universal properties for sequences of bifurcations of period three, Russian Mathematical Surveys, 38(1) (1983)
  • [138] AI Golberg, YG Sinai, KM Khanin, Universal properties of the period-tripling sequence, Usp. Mat. Nauk, 38, 159-160 (1983)
  • [139] EB Vul, KM Khanin, The unstable separatrix of Feigenbaum's fixed-point, Russian Mathematical Surveys, 37(5), 200 (1982)
  • [140] VV Anshelevich, KM Khanin, YG Sinai, Symmetric random walks in random environments, Communications in Mathematical Physics, 85, 449-470 (1982)
  • [141] KM Khanin, Quasi-periodic motions of vortex systems, Physica D: Nonlinear Phenomena, 4(2), 261-269 (1982)
  • [142] KM Khanin, The existence of conditionally periodic motions for a system of plane vortices, Russian Mathematical Surveys, 36(1), 234 (1981)
  • [143] KM Khanin, Absence of phase transitions in one-dimensional long-range spin systems with random Hamiltonian, Teoreticheskaya i Matematicheskaya Fizika, 43(2), 253-260 (1980)
  • [144] KM Khanin, YG Sinai, Existence of free energy for models with long-range random Hamiltonians, Journal of Statistical Physics, 20(6), 573-584 (1979)
  • [145] BM L'vovich, VS Kozyakin, AN Lavrov, AA Glutsyuk, AL Piatnitski et al., Dobrushin Mathematics Laboratory Seminar,
  • [146] KM Khanin, Stationary solutions of the Hamilton–Jacobi random equation and scalings KPZ,
  • [147] KM Khanin, Симплектическая структура ассоциированная с ренормализациями отображений окружности с изломами,
  • [148] KM Khanin, On renormalization and KPZ problem,
  • [149] KM Khanin, Iterates of random monotone maps and coalescing processes,
  • [150] KM Khanin, AN Sobolevskii, Dynamics inside singularities of viscosity solutions to the Hamilton–Jacobi equation,
  • [151] B Derrida, GI Olshanskii, VM Bukhshtaber, YS Ilyashenko, RI Grigorchuk et al., Mathematics, Theoretical Physics and Data Science 2016 dedicated to anniversaries of Yakov Sinai and Grigory Margulis,
  • [152] AI Bufetov, P Hubert, AS Skripchenko, C Matheus, V Guirardel et al., Main topics,
  • [153] K Khanin, Renormalization in dynamics,
  • [154] DA Victorovich, TD Valerevich, EI Kugushev, OÈ Zubelevich, A Maiocchi et al., Dynamical Systems and Mathematical Physics,
  • [155] A Bulsara, L Bunimovich, D Cai, P Chaikin, Y Couder, S Gunturk et al., Nonlinear Dynamics and Chaos,
  • [156] K Khanin, Schrödinger operators with quasi–periodic potentials and the Aubry–Mather theory, Real and Complex Dynamical Systems, 12
  • [157] U Frisch, K Khanin, Y Sinai, Wolfgang Pauli Institute (WPI) Vienna Workshop" Mathematics of particles and flows"(external website),
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更新时间: 2025-08-12 16:00:07