Results 41 to 50 of about 8,503,072 (299)
Solving the Schrödinger equation may result in a wave function of a particle in a quantum system, which can afford the information with respect to the particle’s behavior.
Sri Purwaningsih, Ramacos Fardela
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This article focuses on free probability theory, which is useful for dealing with asymptotic eigenvalue distributions in situations involving several matrices. In particular, it considers some of the basic ideas and results of free probability theory, mostly from the random matrix perspective.
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Local limit theorems in free probability theory
In this paper, we study the superconvergence phenomenon in the free central limit theorem for identically distributed, unbounded summands. We prove not only the uniform convergence of the densities to the semicircular density but also their $L^p ...
Wang, Jiun-Chau
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Sample variance in free probability
Final version to appear in J of Funct Anal; 24 pages;Corollary 4.14 generalized; gap in the proof of Prop 4.13 ...
Wiktor Ejsmont, Franz Lehner
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Damage-scattering signal extraction using conventional ultrasonic guided wave–based damage detection techniques requires the measurement of baseline data under pristine condition.
Dongsheng Li, Zihao Jing, Mengdao Jin
semanticscholar +1 more source
Dual Lukacs regressions for non-commutative variables
Dual Lukacs type characterizations of random variables in free probability are studied here. First, we develop a freeness property satisfied by Lukacs type transformations of free-Poisson and free-Binomial non-commutative variables which are free. Second,
Szpojankowski, Kamil, Wesolowski, Jacek
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By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
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Independences and partial $R$-transforms in bi-free probability [PDF]
In this paper, we examine how various notions of independence in non-commutative probability theory arise in bi-free probability. We exhibit how Boolean and monotone independence occur from bi-free pairs of faces and establish a Kac/Loeve Theorem for bi ...
P. Skoufranis
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Analysis of SIS-SI Stochastic Model with CTMC on the Spread of Malaria Disease
Various mathematical models have been developed to describe the transmission of malaria disease. The purpose of this study was to modify an existing mathematical model of malaria disease by using a CTMC stochastic model.
Niswah Yanfa Nabilah Syams +2 more
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Preservation of algebraicity in free probability [PDF]
We show that any matrix-polynomial combination of free noncommutative random variables each having an algebraic law has again an algebraic law. Our result answers a question raised by a recent paper of Shlyakhtenko and Skoufranis. The result belongs to a
Anderson, Greg W.
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