589 citations
- Australian National UniversityAU8 papers
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Showing 2002 · math-phShow all
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math-ph2002
A finite dimensional analog of the Krein formula
I. A. Shereshevskii
I offer a simple and useful formula for the resolvent of a small rank perturbation of large matrices. I discuss applications of this formula, in particular, to analytical and numer…
math-ph2002
Random groups in the optical waveguides theory
G. B. Malykin, V. I. Pozdnyakova, I. A. Shereshevskii
We propose a new approach to the mathematical description of light propagation in a single-mode fiber light-guide (SMFLG) with random inhomogeneities. We investigate statistics of…