Results 41 to 50 of about 59,031 (278)
Local stability of the free additive convolution
Journal of Functional Analysis, 2016 We prove that the system of subordination equations, defining the free additive convolution of two probability measures, is stable away from the edges of the support and blow-up singularities by showing that the recent smoothness condition of Kargin is always satisfied.
Bao, Zhigang +2 more
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On multiplicative conditionally free convolution [PDF]
Transactions of the American Mathematical Society, 2011 Using the combinatorics of non-crossing partitions, we construct a conditionally free analogue of the Voiculescu's S-transform. The result is applied to analytical description of conditionally free multiplicative convolution and characterization of infinite divisibility.
Popa, Mihai, Wang, Jiun-Chau
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Remarks on $t$-transformations of measures and convolutions [PDF]
, 2001 . – A family of transformations of probability measures is constructed, and used to define transformations of convolutions. The relations between moments and cumulants of a measure and its transformation are presented.
Bożejko, Marek, Wysoczański, Janusz
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Some Limiting Laws in Non-Commutative Probability
AxiomsIn this article, we provide some new limiting laws related to the free multiplicative law of large numbers and involving free and Boolean additive convolutions.
Ayed. R. A. Alanzi +2 more
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The exponential map in non-commutative probability
, 2016 The wrapping transformation $W$ is a homomorphism from the semigroup of probability measures on the real line, with the convolution operation, to the semigroup of probability measures on the circle, with the multiplicative convolution operation.
Anshelevich, Michael, Arizmendi, Octavio
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Aliasing-Free Nonlinear Signal Processing Using Implicitly Defined Functions
IEEE Access, 2022 Digital signal processing relies on the Nyquist-Shannon sampling theorem that applies to and requires a continuous signal with limited bandwidth. However, many systems or networks of signal processing involve nonlinear functions, which could generate new
Emmy S. Wei
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On the support of the free additive convolution [PDF]
Journal d'Analyse Mathématique, 2020 We consider the free additive convolution of two probability measures $μ$ and $ν$ on the real line and show that $μ\boxplusν$ is supported on a single interval if $μ$ and $ν$ each has single interval support. Moreover, the density of $μ\boxplusν$ is proven to vanish as a square root near the edges of its support if both $μ$ and $ν$ have power law ...
Bao, Zhigang +2 more
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Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley +1 more source
Frontiers in Nutrition, 2022 Sweetener type can influence sensory properties and consumer’s acceptance and preference for low-calorie products. An ideal sweetener does not exist, and each sweetener must be used in situations to which it is best suited. Aspartame and sucralose can be
Gustavo Voltani von Atzingen +5 more
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Convolution operations arising from Vandermonde matrices
, 2009 Different types of convolution operations involving large Vandermonde matrices are considered. The convolutions parallel those of large Gaussian matrices and additive and multiplicative free convolution.
Debbah, M., Ryan, Ø.
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