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The process of photon splitting ! in a strong magnetic eld is investigated both below and above the pair creation threshold.The partial amplitudes and the splitting probabilities are calculated taking account of the photon dispersion and large radiative corrections near the resonance. The non-linear electromagnetic process of the photon splitting in… (More)

—The striking benefits of iterative detection have generated strong interest in the disk drive signal processing area, but thus far application of this technology has been rather limited. We review the benefits that the most interesting iterative detectors have over the industry-standard partial-response maximum-likelihood (PRML) detectors, and examine the… (More)

- A Yu Mitrophanov, R E F E R E N C E S, D B Andreev, M A Elesin, E A Krylov, A V Kuznetsov +1 other
- 2005

For the distribution of a finite, homogeneous, continuous-time Markov chain, we derive perturbation bounds in terms of the ergodicity coefficient of the transition probability matrix. Our perturbation bounds improve upon the known results. We give sensitivity bounds for the coefficient of ergodicity, providing a sufficient condition for the uniqueness of… (More)

Oscillatory regulatory networks have been discovered in many cellular pathways. An especially challenging area is studying dynamics of cellular oscillators interacting with one another in a population. Synchronization is only one of and the simplest outcome of such interaction. It is suggested that the outcome depends on the structure of the network.… (More)

- A V Kuznetsov
- 2010

Since Brouwer has proclaimed in 1908 the untrustworthiness of classical logic by rejecting the law of the excluded middle, intuitionistic logic, managing without this law, began little by little to develop. As a calculus, it has been presented in a well-known paper of Heyting (1930), preceded by the interesting papers of A. N. (1932) proposed an… (More)

- A V Kuznetsov, N V Mikheev, A A Okrugin
- 2009

The neutrino helicity-flip process under the conditions of the supernova core is reinves-tigated. Instead of the uniform ball model for the SN core used in previous analyses, realistic models for radial distributions and time evolution of physical parameters in the SN core are considered. A new upper bound on the Dirac neutrino magnetic moment is obtained… (More)

- A V Kuznetsov, N V Mikheev, A A Okrugin
- 2009

The double conversion of the neutrino helicity νL → νR → νL has been analyzed for supernova conditions, where the first stage is due to the interaction of the neutrino magnetic moment with plasma electrons and protons in the supernova core, and the second stage, due to the resonance spin flip of the neutrino in the magnetic field of the supernova envelope.… (More)

- A V Kuznetsov, N V Mikheev
- 2008

The neutrino chirality-flip process under the conditions of the supernova core is investigated in detail with the plasma polarization effects in the photon propagator taken into account in a more complete form than in earlier publications. It is shown in part that the contribution of the proton fraction of plasma is essential. New upper bounds on the… (More)

The electron mass operator in a strong magnetic field is calculated. The contribution of higher Landau levels of virtual electrons, along with the ground Landau level, is shown to be essential in the leading log approximation. The effect of the electron dynamical mass generation by a magnetic field is investigated. In a model with N charged fermions, it is… (More)

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