Recent Papers
I. Timofeyev, "Systematic Deviations from Gaussianity in Models of
Quasi-Geostrophic Turbulence",
Phys. Fluids, 19, 116603, [2007].
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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].
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A. J. Majda, I. Timofeyev, and E. Vanden-Eijnden,
"Stochastic Models for Selected Slow Variables in Large Deterministic Systems",
Nonlinearity, 19, 769-794, [2006].
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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].
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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].
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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].
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A. J. Majda, I. Timofeyev, and E. Vanden-Eijnden,
"A priori Tests of a Stochastic Mode Reduction Strategy",
Physica D, 170, 206-252, [2002].
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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].
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A. J. Majda, I. Timofeyev, and E. Vanden-Eijnden,
"Models for stochastic climate prediction",
Proc. Natl. Acad. Sci. USA,
96(26), 14687-14691, [1999].
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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].
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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].
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A. J. Majda, and I. Timofeyev,
"Remarkable Statistical Behavior for Truncated Burgers-Hopf Dynamics",
Proc. Natl. Acad. Sci. USA, 97(23), 12413-12417, [2000].
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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].
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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].
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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].
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last modified 14/03/06