New interpolations between classical and free Gaussian processes

• Autorzy: Buchholz A.
• Języki publikacji: EN

Abstrakty

EN

In this paper we present the base of a general technique to derive new positive definite functions on pairings from already known ones. To describe this technique we use two concrete applications. The first one refers to the function depending on the number of connected components, the second one to the function depending on the number of crossings. In the first application we get a new family of functions identifying nontrivial connected components.

Słowa kluczowe

EN

non-commutative probability; commutation relations; Gaussian processes

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2015
• Tom: Vol. 35, Fasc. 2
• Strony: 181--189
• Opis fizyczny: Bibliogr. 37 poz., rys.

Twórcy

autor

Buchholz A.

• Institute of Mathematics, University of Wrocław, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).