The Gaussian zoo.
Renze, John, Wagon, Stan, Wick, Brian (2001)
Experimental Mathematics
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Displaying similar documents to “The behaviour of the Gaussian beam in an anisotropic medium with an interface between two media.”
The Gaussian zoo.
On the correct discrimination of Gaussian hypotheses. II.
Rovskiĭ, V.A. (2004)
Zapiski Nauchnykh Seminarov POMI
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Generating normal numbers over Gaussian integers
Manfred G. Madritsch (2008)
Acta Arithmetica
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Gaussian Integers
Yuichi Futa, Hiroyuki Okazaki, Daichi Mizushima, Yasunari Shidama (2013)
Formalized Mathematics
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Gaussian integer is one of basic algebraic integers. In this article we formalize some definitions about Gaussian integers [27]. We also formalize ring (called Gaussian integer ring), Z-module and Z-algebra generated by Gaussian integer mentioned above. Moreover, we formalize some definitions about Gaussian rational numbers and Gaussian rational number field. Then we prove that the Gaussian rational number field and a quotient field of the Gaussian integer ring are isomorphic. ...
Geometric influences II: Correlation inequalities and noise sensitivity
Nathan Keller, Elchanan Mossel, Arnab Sen (2014)
Annales de l'I.H.P. Probabilités et statistiques
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In a recent paper, we presented a new definition of influences in product spaces of continuous distributions, and showed that analogues of the most fundamental results on discrete influences, such as the KKL theorem, hold for the new definition in Gaussian space. In this paper we prove Gaussian analogues of two of the central applications of influences: Talagrand’s lower bound on the correlation of increasing subsets of the discrete cube, and the Benjamini–Kalai–Schramm (BKS) noise sensitivity...
Gaussian kernels have only Gaussian maximizers.
Elliot H. Lieb (1990)
Inventiones mathematicae
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A characterization of Gaussian processes that are Markovian
Waclaw Timoszyk (1974)
Colloquium Mathematicae
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New Gaussian Estimates for Enlarged Balls.
M. Talagrand (1993)
Geometric and functional analysis
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SURE shrinkage of gaussian paths and signal identification
Nicolas Privault, Anthony Réveillac (2011)
ESAIM: Probability and Statistics
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Using integration by parts on Gaussian space we construct a Stein Unbiased Risk Estimator (SURE) for the drift of Gaussian processes, based on their local and occupation times. By almost-sure minimization of the SURE risk of shrinkage estimators we derive an estimation and de-noising procedure for an input signal perturbed by a continuous-time Gaussian noise.
Riemann problem solutions that are stable to perturbation
Schecter, Stephen
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Shift inequalities of Gaussian type and norms of barycentres
F. Barthe, D. Cordero-Erausquin, M. Fradelizi (2001)
Studia Mathematica
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We derive the equivalence of different forms of Gaussian type shift inequalities. This completes previous results by Bobkov. Our argument strongly relies on the Gaussian model for which we give a geometric approach in terms of norms of barycentres. Similar inequalities hold in the discrete setting; they improve the known results on the so-called isodiametral problem for the discrete cube. The study of norms of barycentres for subsets of convex bodies completes the exposition. ...