Recent Papers

K. Nimsaila and I. Timofeyev, "Markov Chain Stochastic Parametrizations of Essential Variables", Submitted to Phys. SIAM Mult. Mod. Simul., PDF

R. Azencott, A. Beri, and I. Timofeyev, "Adaptive Sub-sampling for Parametric Estimation of Gaussian Diffusions", Submitted to J. Stat. Phys., PDF

N. Barlas and I. Timofeyev, "Application of the Stochastic Mode-Reduction Strategy and a-priori Prediction of Symmetry Breaking in Stochastic Systems with Underlying Symmetry", to appear in Comm. Math. Sci., PDF

I. Timofeyev, "Systematic Deviations from Gaussianity in Models of Quasi-Geostrophic Turbulence", Phys. Fluids, 19, 116603, [2007]. PDF

N. Barlas, K. Josic, S. Lapin and I. Timofeyev, "Non-Uniform Decay of Predictability and Return of Skill in Stochastic Oscillatory Models", Physica D, 232(2), 116-127, [2007]. PDF

A. J. Majda, I. Timofeyev, and E. Vanden-Eijnden, "Stochastic Models for Selected Slow Variables in Large Deterministic Systems", Nonlinearity, 19, 769-794, [2006]. PDF

A. L. Alejandro-Quinones, K. E. Bassler, M. Field, J. L. McCauley, M. Nicol, I. Timofeyev, A. Torok and G. H. Gunaratne, "A theory of fluctuations in stock prices", Physica A, 363(2), 383-392, [2006]. PDF

Papers on Stochastic Mode Reduction

A. J. Majda and I. Timofeyev, "Low-dimensional chaotic dynamics versus intrinsic stochastic noise: a paradigm model", Physica D, 199, 339-368, [2004]. PDF

A. J. Majda, I. Timofeyev, and E. Vanden-Eijnden, "Systematic Strategies for Stochastic Mode Reduction in Climate", Journal of the Atmospheric Sciences, 60(14), 1705-1722, [2003]. PDF

A. J. Majda, I. Timofeyev, and E. Vanden-Eijnden, "A priori Tests of a Stochastic Mode Reduction Strategy", Physica D, 170, 206-252, [2002]. PDF

A. J. Majda, I. Timofeyev, and E. Vanden-Eijnden, "A Mathematical Framework for Stochastic Climate Models", Comm. Pure App. Math., 54(8), 891-974, [2001]. PDF

A. J. Majda, I. Timofeyev, and E. Vanden-Eijnden, "Models for stochastic climate prediction", Proc. Natl. Acad. Sci. USA, 96(26), 14687-14691, [1999]. PDF

Papers on Finite-Dimensional Truncation of the Burgers-Hopf System

R. Kleeman, A. J. Majda, and I. Timofeyev, "Quantifying predictability in a model with statistical features of the atmosphere", Proc. Natl. Acad. Sci. USA, 99(24), 15291-15296, [2002]. PDF

A. J. Majda, and I. Timofeyev, "Statistical mechanics for truncations of the Burgers-Hopf equation: A model for intrinsic stochastic behavior with scaling", Milan Journal of Mathematics, 70(1), 39-96, [2002]. PDF

A. J. Majda, and I. Timofeyev, "Remarkable Statistical Behavior for Truncated Burgers-Hopf Dynamics", Proc. Natl. Acad. Sci. USA, 97(23), 12413-12417, [2000]. PDF

Other Publications

M. L. Frankel, G. Kovacic, V. Roytburd, and I. Timofeyev, "Finite-Dimensional Dynamical System Modeling Thermal Instabilities", Physica D, 137, 295-315, [2000]. PDF

S. Burtsev, R. Camassa and I. Timofeyev, "Numerical Algorithms for the Direct Spectral Transform with Applications to Nonlinear Schrodinger Type Systems", J. Comp. Phys., 147, 166-186, [1998]. PDF

A.Aceves, D. D. Holm, G. Kovacic, and I. Timofeyev, "Homoclinic orbits and chaos in a second-harmonic generating optical cavity", Physics Letters A, 233, 203-208, [1997]. PDF
last modified 14/03/06