bm-independence and central limit theorems associated with symmetric cones

Janusz Wysoczański

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Displaying similar documents to “bm-independence and central limit theorems associated with symmetric cones”

The Lukacs-Olkin-Rubin theorem on symmetric cones through Gleason's theorem

Bartosz Kołodziejek (2013)

Studia Mathematica

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We prove the Lukacs characterization of the Wishart distribution on non-octonion symmetric cones of rank greater than 2. We weaken the smoothness assumptions in the version of the Lukacs theorem of [Bobecka-Wesołowski, Studia Math. 152 (2002), 147-160]. The main tool is a new solution of the Olkin-Baker functional equation on symmetric cones, under the assumption of continuity of respective functions. It was possible thanks to the use of Gleason's theorem.

Ordered symmetric spaces

Neeb, Karl-Hermann

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On some generalizations of symmetric continuity

Libicka, Inga, Łazarow, Ewa, Szkopińska, Bożena (2015-12-08T09:08:27Z)

Acta Universitatis Lodziensis. Folia Mathematica

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On some properties of symmetric derivatives

N. K. Kundu (1974)

Annales Polonici Mathematici

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Non-trivial solutions to a linear equation in integers

Boris Bukh (2008)

Acta Arithmetica

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Enclosing solutions of second order equations

Gerd Herzog, Roland Lemmert (2005)

Annales Polonici Mathematici

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We apply Max Müller's Theorem to second order equations u'' = f(t,u,u') to obtain solutions between given functions v,w.

On the symmetric derivative

P. Kostyrko (1972)

Colloquium Mathematicae

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Performance analysis of demodulation with diversity -- A combinatorial approach I: Symmetric function theoretical methods.

Dornstetter, J.L., Krob, D., Thibon, J.Y., Vassilieva, E.A. (2002)

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

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On the symmetric continuity

Jaskuła, Janusz, Szkopińska, Bożena (2015-12-15T14:49:03Z)

Acta Universitatis Lodziensis. Folia Mathematica

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A smoothing Levenberg-Marquardt method for the complementarity problem over symmetric cone

Xiangjing Liu, Sanyang Liu (2022)

Applications of Mathematics

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In this paper, we propose a smoothing Levenberg-Marquardt method for the symmetric cone complementarity problem. Based on a smoothing function, we turn this problem into a system of nonlinear equations and then solve the equations by the method proposed. Under the condition of Lipschitz continuity of the Jacobian matrix and local error bound, the new method is proved to be globally convergent and locally superlinearly/quadratically convergent. Numerical experiments are also employed...

E-symmetric numbers

Gang Yu (2005)

Colloquium Mathematicae

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A positive integer n is called E-symmetric if there exists a positive integer m such that |m-n| = (ϕ(m),ϕ(n)), and n is called E-asymmetric if it is not E-symmetric. We show that there are infinitely many E-symmetric and E-asymmetric primes.

A typical property of the symmetric differential quotient

Jiří Matoušek (1989)

Colloquium Mathematicae

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The facial structure of the finite dimensional latticial cone.

Németh, A.B. (2004)

Mathematica Pannonica

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On radially symmetric solutions of some chemotaxis system

Robert Stańczy (2009)

Banach Center Publications

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This paper contains some results concerning self-similar radial solutions for some system of chemotaxis. This kind of solutions describe asymptotic profiles of arbitrary solutions with small mass. Our approach is based on a fixed point analysis for an appropriate integral operator acting on a suitably defined convex subset of some cone in the space of bounded and continuous functions.