Author(s) | Title | Source |
---|---|---|

J. Bec, U. Frisch, K. Khanin | Kicked Burgers turbulence | Journal of Fluid Mechanics, v.416,239-267, 2000 |

J. Bec, U. Frisch, K. Khanin, B. Villone | A universal law for tails of density PDF's in multi- dimensional Burgers turbulence | Advances in Turbulence VIII,Proceedings Eighth European Turbulence Conference, CIMNE, Barcelona, C. Dopazo et al., eds., 851--854, 2000 |

D. Hardcastle, K. Khanin | On almost everywhere strong convergence of multidimensional continued fraction algorithms | Ergodic Theory & Dynamical Systems, v.20, 1711-1733, 2000 |

W. E, K. Khanin, A. Mazel, Ya. Sinai | Invariant measures for Burgers equation with stochastic forcing | Annals of Mathematics, v.151, 877-960, 2000 |

K. Khanin, R. Khanin | A probabilistic model for the establishment of neuron polarity | Journal of Mathematical Biology, v.42,26-40, 2001 |

D. Hardcastle, K. Khanin | Continued fractions and the d-dimensional Gauss transformation |
Communications in Mathematical Physics, v.215, 487-515, 2001 |

R. Iturriaga, K. Khanin | Burgers turbulence and dynamical systems | Proceedings of the Third European Congress of Mathematics,
Barcelona, Spain, 2000. Progress in Mathematics, v.201, 429-442.
Boston-Basel-Berlin: Birkhauser, 2001. |

K. Khanin, D. Khmelev, A. Rybko, A. Vladimirov | Steady solutions of FIFO networks | Moscow Mathematical Journal, v. 1,407--419, 2001 |

D. Hardcastle, K. Khanin | The d-dimensional Gauss transformation: strong convergence and Lyapunov exponents |
Experimental Mathematics, v.11, 119-129, 2002 |

L. Fel, K. Khanin | Effective conductivity on Z lattice^{d} |
Journal of Statistical Physics, v. 108,1015-1031, 2002 |

J. Bec, R. Iturriaga, K. Khanin | Topological shocks in Burgers turbulence | Phys. Rev. Lett., v. 89, 024501-024504, 2002 |

R. Iturriaga, K. Khanin | Burgers turbulence and random Lagrangian Systems | Communications in Mathematical Physics, v. 232, 377-428, 2003 |

K. Khanin, D. Khmelev | Renormalizations and rigidity theory for circle homeomorphisms with singularities of the break type | Communications in Mathematical Physics, v.235, 69-124, 2003 |

V. H. Hoang, K. Khanin | Random Burgers equation and Lagrangian Systems in non-compact domains | Nonlinearity, v.16, 819-842, 2003 |

J. Bec, K. Khanin | Forced Burgers equation in an unbounded domain | Journal of Statistical Physics, v. 113,741-759, 2003 |

K. Khanin, D. Khmelev, A. Rybko, V. Oseledets, A. Vladimirov | A non-linear generalization of Perron's theorem | Doklady Mathematics (Doklady Akademii Nauk), v. 67, 221-226, 2003 |

A. Teplinsky, K. Khanin | Rigidity for circle diffeomorphisms with singularities | Russian Mathematical Surveys, v. 59:2,137-160, 2004 |

K. Khanin | Denjoy theory | Encyclopedia of Nonlinear Science, ed. Alwyn Scott. New York and London: Routledge, 2004 |

K. Khanin, D. Khmelev, A. Sobolevskii | On velocities of Lagrangian minimizers | Moscow Mathematical Journal (accepted), 2004 |

U. Frisch, K. Khanin, T. Matsumoto | Multifractality of the Feigenbaum attractor and fractional derivatives | Journal of Statistical Physics (accepted), 2004 |

K. Khanin, D. Khmelev, A. Sobolevskii | A blow-up phenomenon in the Hamilton-Jacobi equation in an unbounded domain | To be published in "The Proceedings of the workshop Idempotent Mathematics and
Mathematical Physics" (February 2003) at the ESI, Vienna, Austria, 2004 |

D. Gomes, R. Iturriaga, K. Khanin, P. Padilla | Convergence of viscosity solutions of Burgers equation with random forcing | in preparation, 2004 |

A.A. Dzhalilov, K. Khanin | Counterexamples for C^{1+α} rigidity of circle homeomorphisms with singularities of the break type |
in preparation, 2004 |

V. H. Hoang, K. Khanin, S. Molchanov | Localization and pinning for directed polymers in quasi-stationary random potentials | in preparation, 2004 |

K. Khanin, J. Lopes-Dias, J. Marklof | Multidimensional continued fractions, dynamic renormalization and KAM theory | in preparation, 2004 |

K. Khanin, A. Teplinsky | Smoothness of conjugacy for circle diffeomorphisms with singularities | in preparation, 2004 |