Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Information theory and stochastics for multiscale nonlinear systems

- A. Majda, R. Abramov, M. Grote
- Mathematics
- 20 September 2005

Information theory, predictability, Jupiter's great red spot, and equilibrium statistical mechanics The fluctuation-dissipation theorem for complex nonlinear systems Mathematical strategies for… Expand

192 19- PDF

The multidimensional maximum entropy moment problem: a review of numerical methods

- R. Abramov
- Mathematics
- 1 June 2010

Recently the author developed a numerical method for the multidimensional momentconstrained maximum entropy problem, which is practically capable of solving maximum entropy problems in the… Expand

42 7- PDF

Hamiltonian structure and statistically relevant conserved quantities for the truncated Burgers‐Hopf equation

- R. Abramov, G. Kovačič, A. Majda
- Mathematics
- 2003

In dynamical systems with intrinsic chaos, many degrees of freedom, and many conserved quantities, a fundamental issue is the statistical relevance of suitable subsets of these conserved quantities… Expand

49 5- PDF

Information theory and predictability for low-frequency variability

- R. Abramov, A. Majda, R. Kleeman
- Environmental Science
- 2005

Abstract A predictability framework, based on relative entropy, is applied here to low-frequency variability in a standard T21 barotropic model on the sphere with realistic orography. Two types of… Expand

68 4- PDF

Statistically relevant conserved quantities for truncated quasigeostrophic flow

- R. Abramov, A. Majda
- Mathematics, Medicine
- Proceedings of the National Academy of Sciences…
- 17 March 2003

Systematic applications of ideas from equilibrium statistical mechanics lead to promising strategies for assessing the unresolved scales of motion in many problems in science and engineering. A… Expand

43 4- PDF

New Approximations and Tests of Linear Fluctuation-Response for Chaotic Nonlinear Forced-Dissipative Dynamical Systems

- R. Abramov, A. Majda
- Mathematics, Computer Science
- J. Nonlinear Sci.
- 1 June 2008

TLDR

82 3- PDF

Quantifying predictability through information theory: small sample estimation in a non-Gaussian framework

- K. Haven, A. Majda, R. Abramov
- Mathematics
- 10 June 2005

Many situations in complex systems require quantitative estimates of the lack of information in one probability distribution relative to another. In short term climate and weather prediction,… Expand

53 3- PDF

A New Algorithm for Low-Frequency Climate Response

- R. Abramov, A. Majda
- Mathematics, Physics
- 1 February 2009

Abstract The low-frequency response to changes in external forcing for the climate system is a fundamental issue. In two recent papers the authors developed a new blended response algorithm for… Expand

54 2

An improved algorithm for the multidimensional moment-constrained maximum entropy problem

- R. Abramov
- Mathematics, Computer Science
- J. Comput. Phys.
- 10 September 2007

TLDR

52 2

The multidimensional moment-constrained maximum entropy problem: A BFGS algorithm with constraint scaling

- R. Abramov
- Mathematics, Computer Science
- J. Comput. Phys.
- 2009

TLDR

34 2- PDF

...

1

2

3

4

5

...