Results 31 to 40 of about 2,442,731 (210)
Convexity and robustness of the Rényi entropy
Modern Stochastics: Theory and Applications, 2021 We study convexity properties of the Rényi entropy as function of $\alpha >0$ on finite alphabets. We also describe robustness of the Rényi entropy on finite alphabets, and it turns out that the rate of respective convergence depends on initial alphabet.
Filipp Buryak, Yuliya Mishura
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Understanding weak values without new probability theory [PDF]
, 2018 The physical meaning of weak values and measurements can be completely understood with Born rule and the general probability theory. It is known that the weak value of an observable $\hat A$ with post-selection $\langle F|$ may be out of the eigenvalue ...
Mochizuki, Riuji
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Future InternetThe performance of 5G/6G cellular systems operating in millimeter wave (mmWave, 30–100 GHz) and sub-terahertz (sub-THz, 100–300 GHz) bands is conventionally assessed by utilizing the static distributions of user locations.
Darya Ostrikova +5 more
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Dynamic Blockage in Indoor Reflection-Aided Sub-Terahertz Wireless Communications
IEEE Access, 2023 The sixth-generation cellular systems are expected to utilize the text sub-terahertz frequency band covering 100–300-GHz. Due to high path losses, the coverage of such systems will be limited to a few tens of meters making them suitable for indoor
Alexander Shurakov +8 more
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Renormalization Group and Probability Theory
, 2000 The renormalization group has played an important role in the physics of the second half of the twentieth century both as a conceptual and a calculational tool.
Beccaria +38 more
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Negative Binomial and Multinomial States: probability distributions and coherent states [PDF]
, 1996 Following the relationship between probability distribution and coherent states, for example the well known Poisson distribution and the ordinary coherent states and relatively less known one of the binomial distribution and the $su(2)$ coherent states ...
Fu, Hong-Chen, Sasaki, Ryu
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Mod-Poisson convergence in probability and number theory [PDF]
, 2009 Building on earlier work introducing the notion of "mod-Gaussian" convergence of sequences of random variables, which arises naturally in Random Matrix Theory and number theory, we discuss the analogue notion of "mod-Poisson" convergence.
Arratia +22 more
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International Journal of Theoretical Physics, 2002 Our main aim from this work is to see which theorems in classical probability theory are still valid in fuzzy probability theory. Following Gudder's approach [Demonestratio Mathematica 31(3), 1998, 235–254; Foundations of Physics, 30, 1663–1678] to fuzzy probability theory, the basic concepts of the theory, that is of fuzzy probability measures and ...
Habil, Eissa D., Nasr, Taghreed Z
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Probability theory and its models
, 2008 This paper argues for the status of formal probability theory as a mathematical, rather than a scientific, theory. David Freedman and Philip Stark's concept of model based probabilities is examined and is used as a bridge between the formal theory and ...
Humphreys, Paul
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Compact support probability distributions in random matrix theory [PDF]
, 1998 We consider a generalization of the fixed and bounded trace ensembles introduced by Bronk and Rosenzweig up to an arbitrary polynomial potential. In the large-N limit we prove that the two are equivalent and that their eigenvalue distribution coincides ...
C.W.J. Beenakker +20 more
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