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Mathematical Analysis of Random Noise-Conclusion
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This article is published in Bell System Technical Journal.The article was published on 1945-01-01 and is currently open access. It has received 807 citations till now.read more
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Role of global warming on the statistics of record-breaking temperatures.
Sidney Redner,Mark R. Petersen +1 more
TL;DR: It is argued that the current warming rate is insufficient to measurably influence the frequency of record temperature events, a conclusion that is supported by numerical simulations and by the Philadelphia data.
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On roots of random polynomials
Ildar Ibragimov,Ofer Zeitouni +1 more
TL;DR: In this paper, the authors studied the complex roots of random polynomials of degree n with i.i.d. coefficients and derived an exact formula for the average density of this distribution, which yields appropriate limit average densities.
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Disruption of wavefronts: statistics of dislocations in incoherent Gaussian random waves
TL;DR: In this article, the singularities of the phase of a wave psi in the form of moving lines in space where mod psi mod vanishes are studied for initially plane waves that have passed through a random space and time-dependent phase-changing screen.
Book ChapterDOI
V Fluctuations of Light Beams
TL;DR: In this article, the fluctuations of light beams are described by using statistical mechanics, and a method to examine the counting distribution is discussed, which is also applicable to the calculation of the bunching effect.
Journal ArticleDOI
A novel estimator of the polarization amplitude from normally distributed Stokes parameters
TL;DR: In this article, a new estimator of the polarization amplitude from a single measurement of its normally distributed Stokes components is proposed, based on the properties of the Rice distribution and dubbed "MAS" (Modified ASymptotic), which meets several desirable criteria: its values lie in the whole positive region; its distribution is continuous; it transforms smoothly with the signal-to-noise ratio (SNR) from a Rayleigh-like shape to a Gaussian one; it is unbiased and reaches its components variance as soon as the SNR exceeds 2; and it