83 citations · 233 across the 16 of their papers we have counts for
17 papers
Second harmonic generation in dissipative metamaterials
Ye. S. Mukhametkarimov, Zh. A. Kudyshev, A. E. Davletov +3
Second harmonic generation is considered in lossy negative-index metamaterials. It is shown that energy transfer from fundamental to harmonic takes place in the entire sample for t…
Exact and Efficient Algorithm to Discover Extreme Stochastic Events in Wind Generation over Transmission Power Grids
Michael Chertkov, Mikhail Stepanov, Feng Pan +1
In this manuscript we continue the thread of [M. Chertkov, F. Pan, M. Stepanov, Predicting Failures in Power Grids: The Case of Static Overloads, IEEE Smart Grid 2011] and suggest…
Polytope of Correct (Linear Programming) Decoding and Low-Weight Pseudo-Codewords
Michael Chertkov, Mikhail Stepanov
We analyze Linear Programming (LP) decoding of graphical binary codes operating over soft-output, symmetric and log-concave channels. We show that the error-surface, separating dom…
Predicting Failures in Power Grids: The Case of Static Overloads
Michael Chertkov, Feng Pan, Mikhail G. Stepanov
Here we develop an approach to predict power grid weak points, and specifically to efficiently identify the most probable failure modes in static load distribution for a given powe…
Instanton-based Techniques for Analysis and Reduction of Error Floors of LDPC Codes
Shashi Kiran Chilappagari, Michael Chertkov, Mikhail G. Stepanov +1
We describe a family of instanton-based optimization methods developed recently for the analysis of the error floors of low-density parity-check (LDPC) codes. Instantons are the mo…
Searching for low weight pseudo-codewords
M. Chertkov, M. Stepanov
Belief Propagation (BP) and Linear Programming (LP) decodings of Low Density Parity Check (LDPC) codes are discussed. We summarize results of instanton/pseudo-codeword approach dev…