Konstantin Khanin - Publications

Affiliations: 
Mathematics University of Toronto, Toronto, ON, Canada 
Area:
Mathematics, Applied Mathematics

26/86 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2018 Bakhtin Y, Khanin K. On global solutions of the random Hamilton-Jacobi equations and the KPZ problem Nonlinearity. 31. DOI: 10.1088/1361-6544/Aa99A6  0.36
2018 Khanin K, Kocić S. Robust local Hölder rigidity of circle maps with breaks Annales De L'Institut Henri Poincaré C, Analyse Non LinéAire. 35: 1827-1845. DOI: 10.1016/J.Anihpc.2018.03.003  0.314
2017 Khanin K, Zhang K. Hyperbolicity of Minimizers and Regularity of Viscosity Solutions for a Random Hamilton–Jacobi Equation Communications in Mathematical Physics. 355: 803-837. DOI: 10.1007/S00220-017-2919-5  0.327
2016 Khanin K, Sobolevski A. On Dynamics of Lagrangian Trajectories for Hamilton–Jacobi Equations Archive For Rational Mechanics and Analysis. 219: 861-885. DOI: 10.1007/S00205-015-0910-X  0.321
2014 Bufetov AI, Gurevich BM, Khanin KM, Cellarosi F. The Abel Prize award to Ya.G. Sinai Russian Mathematical Surveys. 69: 931-956. DOI: 10.1070/Rm2014V069N05Abeh004924  0.619
2014 Khanin K, Kocić S. Renormalization conjecture and rigidity theory for circle diffeomorphisms with breaks Geometric and Functional Analysis. 24: 2002-2028. DOI: 10.1007/S00039-014-0309-0  0.335
2013 Bakhtin Y, Cator E, Khanin K. Space-time stationary solutions for the Burgers equation Journal of the American Mathematical Society. 27: 193-238. DOI: 10.1090/S0894-0347-2013-00773-0  0.349
2013 Khanin K, Kocić S. Absence of robust rigidity for circle maps with breaks Annales De L'Institut Henri Poincare (C) Non Linear Analysis. 30: 385-399. DOI: 10.1016/J.Anihpc.2012.08.004  0.335
2013 Khanin K, Teplinsky A. Renormalization Horseshoe and Rigidity for Circle Diffeomorphisms with Breaks Communications in Mathematical Physics. 320: 347-377. DOI: 10.1007/S00220-013-1706-1  0.305
2012 Grigo A, Khanin K, Szász D. Mixing rates of particle systems with energy exchange Nonlinearity. 25: 2349-2376. DOI: 10.1088/0951-7715/25/8/2349  0.309
2010 Khanin K, Sobolevski A. Particle dynamics inside shocks in Hamilton-Jacobi equations. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 368: 1579-93. PMID 20211875 DOI: 10.1098/Rsta.2009.0283  0.31
2010 Bakhtin Y, Khanin K. Localization and perron-frobenius theory for directed polymers Moscow Mathematical Journal. 10: 667-686. DOI: 10.17323/1609-4514-2010-10-4-667-686  0.301
2007 Khanin K, Teplinsky A. Robust rigidity for circle diffeomorphisms with singularities Inventiones Mathematicae. 169: 193-218. DOI: 10.1007/S00222-007-0047-0  0.336
2005 Gomes D, Iturriaga R, Khanin K, Padilla P. Viscosity Limit of Stationary Distributions for the Random Forced Burgers Equation Moscow Mathematical Journal. 5: 613-631. DOI: 10.17323/1609-4514-2005-5-3-613-631  0.322
2005 Frisch U, Khanin K, Matsumoto T. Multifractality of the feigenbaum attractor and fractional derivatives Journal of Statistical Physics. 121: 671-695. DOI: 10.1007/S10955-005-7011-4  0.319
2003 Hoang VH, Khanin K. Random Burgers equation and Lagrangian systems in non-compact domains Nonlinearity. 16: 819-842. DOI: 10.1088/0951-7715/16/3/303  0.33
2003 Khanin K, Khmelev D. Renormalizations and rigidity theory for circle homeomorphisms with singularities of the break type Communications in Mathematical Physics. 235: 69-124. DOI: 10.1007/S00220-003-0809-5  0.335
2003 Iturriaga R, Khanin K. Burgers turbulence and random Lagrangian systems Communications in Mathematical Physics. 232: 377-428. DOI: 10.1007/S00220-002-0748-6  0.375
2002 Bec J, Iturriaga R, Khanin K. Topological shocks in Burgers turbulence. Physical Review Letters. 89: 024501. PMID 12096997 DOI: 10.1103/Physrevlett.89.024501  0.317
2000 Weinan E, Khanin K, Mazel A, Sinai Y. Invariant measures for Burgers equation with stochastic forcing Annals of Mathematics. 151: 877-960. DOI: 10.2307/121126  0.549
2000 Bec J, Frisch U, Khanin K. Kicked Burgers turbulence Journal of Fluid Mechanics. 416: 239-267. DOI: 10.1017/S0022112000001051  0.321
1997 Weinan E, Khanin K, Mazel A, Sinai Y. Probability distribution functions for the random forced burgers equation Physical Review Letters. 78: 1904-1907. DOI: 10.1103/Physrevlett.78.1904  0.55
1996 Hunt BR, Khanin KM, Sinai YG, Yorke JA. Fractal properties of critical invariant curves Journal of Statistical Physics. 85: 261-276. DOI: 10.1007/Bf02175565  0.541
1989 Sinai YG, Khanin KM. Smoothness of conjugacies of diffeomorphisms of the circle with rotations Russian Mathematical Surveys. 44: 69-99. DOI: 10.1070/RM1989v044n01ABEH002008  0.484
1984 Vul EB, Sinai YG, Khanin KM. Feigenbaum universality and the thermodynamic formalism Russian Mathematical Surveys. 39: 1-40. DOI: 10.1070/RM1984v039n03ABEH003162  0.547
1983 Gol’berg AI, Sinai YG, Khanin KM. Universal properties for sequences of bifurcations of period three Russian Mathematical Surveys. 38: 187-188. DOI: 10.1070/RM1983v038n01ABEH003398  0.472
Low-probability matches (unlikely to be authored by this person)
2019 Khanin K, Kocić S. Hausdorff dimension of invariant measure of circle diffeomorphisms with a break point Ergodic Theory and Dynamical Systems. 39: 1331-1339. DOI: 10.1017/Etds.2017.63  0.298
1998 Dzhalilov AA, Khanin KM. On an invariant measure for homeomorphisms of a circle with a point of break Functional Analysis and Its Applications. 32: 153-161. DOI: 10.1007/Bf02463336  0.294
2009 Fayad B, Khanin K. Smooth linearization of commuting circle diffeomorphisms Annals of Mathematics. 170: 961-980. DOI: 10.4007/Annals.2009.170.961  0.291
2017 Khanin K, Kocić S, Mazzeo E. C^1-rigidity of circle maps with breaks for almost all rotation numbers Annales Scientifiques De L Ecole Normale Superieure. 50: 1163-1203. DOI: 10.24033/Asens.2342  0.289
2014 Alberts T, Khanin K, Quastel J. The Continuum Directed Random Polymer Journal of Statistical Physics. 154: 305-326. DOI: 10.1007/S10955-013-0872-Z  0.288
2014 Alberts T, Khanin K, Quastel J. The intermediate disorder regime for directed polymers in dimension 1+1 Annals of Probability. 42: 1212-1256. DOI: 10.1103/Physrevlett.105.090603  0.286
1996 Dzhalilov A, Khanin K. On an invariant measure for homeomorphisms of the circle with a single break point Russian Mathematical Surveys. 51: 1198-1199. DOI: 10.1070/Rm1996V051N06Abeh003006  0.284
2009 Khanin K, Teplinsky A. Herman's theory revisited Inventiones Mathematicae. 178: 333-344. DOI: 10.1007/S00222-009-0200-Z  0.279
2017 Akhadkulov H, Dzhalilov A, Khanin K. Notes on a theorem of Katznelson and Ornstein Discrete and Continuous Dynamical Systems. 37: 4587-4609. DOI: 10.3934/Dcds.2017197  0.268
2001 Hardcastle DM, Khanin K. Continued fractions and the d-dimensional Gauss transformation Communications in Mathematical Physics. 215: 487-515. DOI: 10.1007/S002200000290  0.267
2013 Boritchev A, Khanin K. On the hyperbolicity of minimizers for 1D random Lagrangian systems Nonlinearity. 26: 65-80. DOI: 10.1088/0951-7715/26/1/65  0.26
2000 Hardcastle DM, Khanin K. On almost everywhere strong convergence of multi-dimensional continued fraction algorithms Ergodic Theory and Dynamical Systems. 20: 1711-1733. DOI: 10.1017/S014338570000095X  0.258
1996 Khanin KM. Random walks in a random potential: Loop condensation effects International Journal of Modern Physics B. 10: 2393-2404. DOI: 10.1142/S0217979296001069  0.244
2002 Hardcastle DM, Khanin K. The d-dimensional Gauss transformation: Strong convergence and Lyapunov exponents Experimental Mathematics. 11: 119-129. DOI: 10.1080/10586458.2002.10504474  0.238
2005 Khanin K, Khmelev D, Sobolevskii A. On the Velocities of Lagrangian Minimizers Moscow Mathematical Journal. 5: 157-169. DOI: 10.17323/1609-4514-2005-5-1-157-169  0.238
2017 Khanin K. Mathematical Journey of Yakov Sinai Journal of Statistical Physics. 166: 463-466. DOI: 10.1007/S10955-016-1668-8  0.237
2004 Teplinskii AY, Khanin KM. Rigidity for circle diffeomorphisms with singularities Russian Mathematical Surveys. 59: 329-353. DOI: 10.1070/RM2004v059n02ABEH000722  0.235
1996 Khanin KM. Rigidity in one-dimensional dynamics International Journal of Modern Physics B. 10: 2311-2324. DOI: 10.1142/S0217979296001045  0.231
1996 Khanin KM. Mixing for area-preserving flows on the two-dimensional torus International Journal of Modern Physics B. 10: 2167-2188. DOI: 10.1142/S0217979296000994  0.208
2001 Khanin K, Khmelev D, Rybko A, Vladimirov A. Steady Solutions for FIFO Networks Moscow Mathematical Journal. 1: 407-419. DOI: 10.17323/1609-4514-2001-1-3-407-419  0.195
2009 Teplinskii AY, Khanin KM. A sharp estimate for the smoothness of a conjugacy linearizing a nonlinear circle diffeomorphism Doklady Mathematics. 80: 701-705. DOI: 10.1134/S1064562409050184  0.192
2003 Bec J, Khanin K. Forced Burgers equation in an unbounded domain Journal of Statistical Physics. 113: 741-759.  0.189
2022 Khanin K, Li L. On end-point distribution for directed polymers and related problems for randomly forced Burgers equation. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 380: 20210081. PMID 35094561 DOI: 10.1098/rsta.2021.0081  0.186
2015 Khanin K, Yampolsky M. Hyperbolicity of renormalization of circle maps with a break-type singularity Moscow Mathematical Journal. 15: 107-121. DOI: 10.17323/1609-4514-2015-15-1-107-121  0.178
2006 Khanin K, Dias JL, Marklof J. Renormalization of multidimensional Hamiltonian flows Nonlinearity. 19. DOI: 10.1088/0951-7715/19/12/001  0.171
2011 Bachurin P, Khanin K, Marklof J, Plakhov A. Perfect retroreflectors and billiard dynamics Journal of Modern Dynamics. 5: 33-48. DOI: 10.3934/jmd.2011.5.33  0.167
1997 Khanin KM. Rigidity for circle homeomorphisms with break singularities Doklady Akademii Nauk. 357: 176-179.  0.167
1982 Khanin KM. Quasi-periodic motions of vortex systems Physica D: Nonlinear Phenomena. 4: 261-269. DOI: 10.1016/0167-2789(82)90067-7  0.162
2007 Khanin K, Dias JL, Marklof J. Multidimensional continued fractions, dynamical renormalization and KAM theory Communications in Mathematical Physics. 270: 197-231. DOI: 10.1007/s00220-006-0125-y  0.158
1985 Khalatnikov IM, Lifshitz EM, Khanin KM, Shchur LN, Sinai YG. On the stochasticity in relativistic cosmology Journal of Statistical Physics. 38: 97-114. DOI: 10.1007/Bf01017851  0.157
2023 Hurth T, Khanin K, Navarro Lameda B, Nazarov F. On a Factorization Formula for the Partition Function of Directed Polymers. Journal of Statistical Physics. 190: 165. PMID 37868019 DOI: 10.1007/s10955-023-03172-w  0.156
2022 Khanin K, Li L, Yin Z. Point fields of last passage percolation and coalescing fractional Brownian motions. Physical Review. E. 105: 064127. PMID 35854567 DOI: 10.1103/PhysRevE.105.064127  0.152
2010 Teplins'kyi OY, Khanin KM. Smooth conjugacy of circle diffeomorphisms with break Nonlinear Oscillations. 13: 112-127. DOI: 10.1007/s11072-010-0104-2  0.148
1996 Hunt BR, Khanin KM, Sinai YG, Yorke JA. Fractal properties of critical invariant curves Journal of Statistical Physics. 85: 261-276. DOI: 10.1007/BF02175565  0.148
1987 Khanin KM, Sinai YG. A new proof of M. Herman's theorem Communications in Mathematical Physics. 112: 89-101. DOI: 10.1007/BF01217681  0.139
1982 Anshelevich VV, Khanin KM, Sinai YG. Symmetric random walks in random environments Communications in Mathematical Physics. 85: 449-470. DOI: 10.1007/BF01208724  0.139
1991 Khanin KM. Universal estimates for critical circle mappings Chaos. 1: 181-186.  0.135
1982 Vul EB, Khanin KM. The unstable separatrix of feigenbaums fixed-point Russian Mathematical Surveys. 37: 200-201. DOI: 10.1070/RM1982v037n05ABEH004046  0.135
2010 Khanin K, Nechaev S, Oshanin G, Sobolevski A, Vasilyev O. Ballistic deposition patterns beneath a growing Kardar-Parisi-Zhang interface. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 82: 061107. PMID 21230644 DOI: 10.1103/PhysRevE.82.061107  0.121
2014 Буфетов АИ, Bufetov AI, Гуревич БМ, Gurevich BM, Ханин КМ, Khanin KM, Челларози Ф, Cellarosi F. Присуждение Я. Г. Синаю премии Абеля Uspekhi Matematicheskikh Nauk. 69: 167-190. DOI: 10.4213/RM9624  0.12
1996 Новиков СП, Novikov SP, Бунимович ЛА, Bunimovich LA, Вершик АМ, Vershik AM, Гуревич БМ, Gurevich BM, Динабург ЕИ, Dinaburg EI, Маргулис ГА, Margulis GA, Оселедец ВИ, Oseledets VI, Пирогов СА, ... ... Khanin KM, et al. Яков Григорьевич Синай (к шестидесятилетию со дня рождения) Uspekhi Matematicheskikh Nauk. 51: 179-191. DOI: 10.4213/rm1564  0.12
1997 Khanin KM. Rigidity for circle homeomorphisms with a break-type singularity Doklady Mathematics. 56: 859-861.  0.113
1981 Khanin KM. The existence of conditionally periodic motions for a system of plane vortices Russian Mathematical Surveys. 36: 234-235. DOI: 10.1070/RM1981v036n01ABEH002549  0.105
2002 Fel LG, Khanin KM. On effective conductivity on ℤd lattice Journal of Statistical Physics. 108: 1015-1031. DOI: 10.1023/A:1019787330168  0.104
1992 Sinai YG, Khanin KM. Mixing for some classes of special flows over rotations of the circle Functional Analysis and Its Applications. 26: 155-169. DOI: 10.1007/BF01075628  0.102
1986 Sinai YG, Khanin KM, Shchur LN. A new approach to the construction of fixed points of the renormalization group in dynamical systems Radiophysics and Quantum Electronics. 29: 803-808. DOI: 10.1007/BF01034477  0.101
2010 Alberts T, Khanin K, Quastel J. Intermediate disorder regime for directed polymers in dimension 1+1 Physical Review Letters. 105. DOI: 10.1103/PhysRevLett.105.090603  0.1
1990 Vul EB, Khanin KM. Homeomorphisms of the circle with singularities of "break" type Russian Mathematical Surveys. 45: 229-230. DOI: 10.1070/RM1990v045n03ABEH002353  0.097
1979 Khanin KM, Sinai YG. Existence of free energy for models with long-range random Hamiltonians Journal of Statistical Physics. 20: 573-584. DOI: 10.1007/BF01009511  0.092
2003 Vladimirov AA, Oseledets VI, Rybko AN, Khanin KM, Khmelev DV. A nonlinear generalization of Perron's theorem Doklady Mathematics. 67: 221-225.  0.083
2003 Vladimirov AA, Oseledets VI, Rybko AN, Khanin KM, Khmelev DV. Nonlinear generalization Perron's theorem Doklady Akademii Nauk. 389: 452-457.  0.083
1995 Khanin KM, Lebowitz JL, Mazel AE, Sinail YG. Self-avoiding walks in five or more dimensions: Polymer expansion approach Russian Mathematical Surveys. 50: 403-434. DOI: 10.1070/Rm1995V050N02Abeh002085  0.083
2001 Khanin K, Khanin R. A probabilistic model for the establishment of neuron polarity Journal of Mathematical Biology. 42: 26-40. PMID 11271507  0.067
2000 Iturriaga R, Khanin K. Burgers turbulence and dynamical systems Hp Laboratories Technical Report. DOI: 10.1016/j.physrep.2007.04.002  0.064
1980 Khanin KM. Absence of phase transitions in one-dimensional long-range spin systems with random Hamiltonian Theoretical and Mathematical Physics. 43: 445-449. DOI: 10.1007/BF01018398  0.061
2000 Khanin K, Khanin R. A probabilistic model for establishment of neuron polarity Hp Laboratories Technical Report 0.06
1996 Novikov SP, Bunimovich LA, Vershik AM, Gurevich BM, Dinaburg EI, Margulis GA, Oseledets VI, Pirogov SA, Khanin KM, Chentsova NN. Yakov Grigor'evich Sinai (on his sixtieth birthday) Russian Mathematical Surveys. 51: 765-778. DOI: 10.1070/RM1996v051n04ABEH002992  0.011
2004 Теплинский АЮ, Teplinskii AY, Ханин КМ, Khanin KM, Ханин КМ, Khanin KM, Ханин КМ, Khanin KM. Жесткость для диффеоморфизмов окружности с особенностями Uspekhi Matematicheskikh Nauk. 59: 137-160. DOI: 10.4213/rm722  0.01
1998 Джалилов АА, Dzhalilov AA, Ханин КМ, Khanin KM, Ханин КМ, Khanin KM. Об инвариантной мере для гомеоморфизмов окружности с изломом функциональный анализ и его приложения. 32: 11-21. DOI: 10.4213/faa419  0.01
1996 Джалилов АА, Dzhalilov AA, Ханин КМ, Khanin KM. Об инвариантной мере для гомеоморфизмов окружности с одной точкой излома Uspekhi Matematicheskikh Nauk. 51: 201-202. DOI: 10.4213/rm1027  0.01
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