Free probability theory and non-crossing partitions.

Speicher, Roland

Displaying similar documents to “Free probability theory and non-crossing partitions.”

Sum and difference free partitions of vector spaces

Krzysztof Ciesielski (1996)

Colloquium Mathematicae

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$L_{\infty}$ -Khintchine-Bonami inequality in free probability

Artur Buchholz (1998)

Banach Center Publications

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We prove the norm estimates for operator-valued functions on free groups supported on the words with fixed length ( $f = \sum_{| w | = l} a_{w} \otimes λ (w)$ ). Next, we replace the translations by the free generators with a free family of operators and prove inequalities of the same type.

Convolution equations in Colombeau's spaces.

Nedeljkov, Marko (2003)

Novi Sad Journal of Mathematics

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Free Magmas

Marco Riccardi (2010)

Formalized Mathematics

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This article introduces the free magma M(X) constructed on a set X [6]. Then, we formalize some theorems about M(X): if f is a function from the set X to a magma N, the free magma M(X) has a unique extension of f to a morphism of M(X) into N and every magma is isomorphic to a magma generated by a set X under a set of relators on M(X). In doing it, the article defines the stable subset under the law of composition of a magma, the submagma, the equivalence relation compatible with the...

Almost free splitters

Rüdiger Göbel, Saharon Shelah (1999)

Colloquium Mathematicae

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Let R be a subring of the rationals. We want to investigate self splitting R-modules G, that is, such that $E x t_{R} (G, G) = 0$ . For simplicity we will call such modules splitters (see [10]). Also other names like stones are used (see a dictionary in Ringel’s paper [8]). Our investigation continues [5]. In [5] we answered an open problem by constructing a large class of splitters. Classical splitters are free modules and torsion-free, algebraically compact ones. In [5] we concentrated on splitters which...

Monomial crystals and partition crystals.

Tingley, Peter (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Gaussian random band matrices and operator-valued free probability theory

Dimitri Shlyakhtenko (1998)

Banach Center Publications

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Hankel determinants of some sequences of polynomials.

Sivasubramanian, Sivaramakrishnan (2010)

Séminaire Lotharingien de Combinatoire [electronic only]

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A Note on Free Quantum Groups

Teodor Banica (2008)

Annales mathématiques Blaise Pascal

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We study the free complexification operation for compact quantum groups, $G \to G^{c}$ . We prove that, with suitable definitions, this induces a one-to-one correspondence between free orthogonal quantum groups of infinite level, and free unitary quantum groups satisfying $G = G^{c}$ .