Publications of Rafail Abramov
Linear response of the Lyapunov exponent to a small constant perturbation.
Physical Review E,
16 pp., 2014.
A simple closure approximation for slow dynamics of a multiscale system: nonlinear and multiplicative coupling.
Multiscale Model. Simul.,
11(1):134--151, 2013.
MR3032827
A simple closure approximation for slow dynamics of a multiscale system: nonlinear and multiplicative coupling.
Multiscale Modeling and Simulation,
11(1):134--151, 2013.
A simple stochastic parameterization for reduced models of multiscale dynamics.
Journal of Computational Dynamics,
23 pp., 2013.
The response of reduced models of multiscale dynamics to small external perturbations .
Communications in Mathematical Sciences,
20 pp., 2013.
Improved linear response for stochastically driven systems.
Front. Math. China,
7(2):199--216, 2012.
MR2897702
Suppression of chaos at slow variables by rapidly mixing fast dynamics through linear energy-preserving coupling.
Commun. Math. Sci.,
10(2):595--624, 2012.
MR2901322
A simple linear response closure approximation for slow dynamics of a multiscale system with linear coupling.
Multiscale Model. Simul.,
10(1):28--47, 2012.
MR2902597
Low frequency climate response of quasigeostrophic wind-driven ocean circulation.
Journal of Physical Oceanography,
42:243--260, 2012.
Climate change: is it more predictable than we think?.
Modern Climatology,
ISBN 978-953-51-0095-9:289--308, 2012. Book chapter.
High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability.
Proc. Natl. Acad. Sci. USA,
107(2):581--586, 2010.
MR2608649
The multidimensional maximum entropy moment problem: a review on numerical methods.
Commun. Math. Sci.,
8(2):377--392, 2010.
MR2664456
Approximate linear response for slow variables of dynamics with explicit time scale separation.
J. Comput. Phys.,
229(20):7739--7746, 2010.
MR2674299
The multidimensional moment-constrained maximum entropy problem: a BFGS algorithm with constraint scaling.
J. Comput. Phys.,
228(1):96--108, 2009.
MR2464069
Short-time linear response with reduced-rank tangent map.
Chin. Ann. Math. Ser. B,
30(5):447--462, 2009.
MR2601480
A new algorithm for low frequency climate response.
Journal of the Atmospheric Sciences,
66(2):286--309, 2009.
New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems.
J. Nonlinear Sci.,
18(3):303--341, 2008.
MR2411381
An improved algorithm for the multidimensional moment-constrained maximum entropy problem.
J. Comput. Phys.,
226(1):621--644, 2007.
MR2356853
Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems.
Nonlinearity,
20(12):2793--2821, 2007.
MR2368326
A practical computational framework for the multidimensional moment-constrained maximum entropy principle.
J. Comput. Phys.,
211(1):198--209, 2006.
MR2168875
Information theory and predictability for low-frequency variability.
J. Atmospheric Sci.,
62(1):65--87, 2005.
MR2114468
Quantifying predictability through information theory: small sample estimation in a non-Gaussian framework.
J. Comput. Phys.,
206(1):334--362, 2005.
MR2135840
Information theory and stochastics for multiscale nonlinear systems, volume 25 of CRM Monograph Series.
American Mathematical Society, Providence, RI, 2005.
MR2166171
Quantifying uncertainty for non-Gaussian ensembles in complex systems.
SIAM J. Sci. Comput.,
26(2):411--447 (electronic), 2004.
MR2116354
Hamiltonian structure and statistically relevant conserved quantities for the truncated Burgers-Hopf equation.
Comm. Pure Appl. Math.,
56(1):1--46, 2003.
MR1929441
Statistically relevant conserved quantities for truncated quasigeostrophic flow.
Proc. Natl. Acad. Sci. USA,
100(7):3841--3846 (electronic), 2003.
MR1963812
Discrete approximations with additional conserved quantities: deterministic and statistical behavior.
Methods Appl. Anal.,
10(2):151--189, 2003.
MR2074746