Konstantin Khanin - Publications

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

66 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
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  0.56
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  0.56
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
2009 Fayad B, Khanin K. Smooth linearization of commuting circle diffeomorphisms Annals of Mathematics. 170: 961-980. DOI: 10.4007/Annals.2009.170.961  1
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  1
2009 Khanin K, Teplinsky A. Herman's theory revisited Inventiones Mathematicae. 178: 333-344. DOI: 10.1007/S00222-009-0200-Z  1
2007 Khanin K, Teplinsky A. Robust rigidity for circle diffeomorphisms with singularities Inventiones Mathematicae. 169: 193-218. DOI: 10.1007/S00222-007-0047-0  1
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  1
2006 Khanin K, Dias JL, Marklof J. Renormalization of multidimensional Hamiltonian flows Nonlinearity. 19. DOI: 10.1088/0951-7715/19/12/001  1
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  1
2004 Teplinskii AY, Khanin KM. Rigidity for circle diffeomorphisms with singularities Russian Mathematical Surveys. 59: 329-353. DOI: 10.1070/RM2004v059n02ABEH000722  1
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  1
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  1
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  0.68
2003 Vladimirov AA, Oseledets VI, Rybko AN, Khanin KM, Khmelev DV. Nonlinear generalization Perron's theorem Doklady Akademii Nauk. 389: 452-457.  1
2003 Vladimirov AA, Oseledets VI, Rybko AN, Khanin KM, Khmelev DV. A nonlinear generalization of Perron's theorem Doklady Mathematics. 67: 221-225.  1
2003 Bec J, Khanin K. Forced Burgers equation in an unbounded domain Journal of Statistical Physics. 113: 741-759.  1
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  0.68
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  1
2002 Fel LG, Khanin KM. On effective conductivity on ℤd lattice Journal of Statistical Physics. 108: 1015-1031. DOI: 10.1023/A:1019787330168  1
2001 Khanin K, Khanin R. A probabilistic model for the establishment of neuron polarity Journal of Mathematical Biology. 42: 26-40. PMID 11271507  1
2001 Hardcastle DM, Khanin K. Continued fractions and the d-dimensional Gauss transformation Communications in Mathematical Physics. 215: 487-515. DOI: 10.1007/S002200000290  1
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  0.68
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  1
2000 Bec J, Frisch U, Khanin K. Kicked Burgers turbulence Journal of Fluid Mechanics. 416: 239-267. DOI: 10.1017/S0022112000001051  1
2000 Iturriaga R, Khanin K. Burgers turbulence and dynamical systems Hp Laboratories Technical Report. DOI: 10.1016/j.physrep.2007.04.002  0.68
2000 Khanin K, Khanin R. A probabilistic model for establishment of neuron polarity Hp Laboratories Technical Report 1
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  1
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  0.68
1997 Khanin KM. Rigidity for circle homeomorphisms with break singularities Doklady Akademii Nauk. 357: 176-179.  1
1997 Khanin KM. Rigidity for circle homeomorphisms with a break-type singularity Doklady Mathematics. 56: 859-861.  1
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  1
1996 Khanin KM. Rigidity in one-dimensional dynamics International Journal of Modern Physics B. 10: 2311-2324. DOI: 10.1142/S0217979296001045  1
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  1
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  0.68
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  1
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  1
1991 Khanin KM. Universal estimates for critical circle mappings Chaos. 1: 181-186.  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  0.68
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  0.68
1987 Khanin KM, Sinai YG. A new proof of M. Herman's theorem Communications in Mathematical Physics. 112: 89-101. DOI: 10.1007/BF01217681  1
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  1
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  1
1984 Vul EB, Sinai YG, Khanin KM. Feigenbaum universality and the thermodynamic formalism Russian Mathematical Surveys. 39: 1-40. DOI: 10.1070/RM1984v039n03ABEH003162  0.68
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  0.68
1982 Vul EB, Khanin KM. The unstable separatrix of feigenbaums fixed-point Russian Mathematical Surveys. 37: 200-201. DOI: 10.1070/RM1982v037n05ABEH004046  0.68
1982 Khanin KM. Quasi-periodic motions of vortex systems Physica D: Nonlinear Phenomena. 4: 261-269. DOI: 10.1016/0167-2789(82)90067-7  1
1982 Anshelevich VV, Khanin KM, Sinai YG. Symmetric random walks in random environments Communications in Mathematical Physics. 85: 449-470. DOI: 10.1007/BF01208724  1
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  1
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  1
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  1
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