The notion of $(d)$--Markov property was introduced for discrete random fields by R.L. Dobrushin \cite{1.}. E. Nelson \cite{2.} formulated the Markov property in the continuous case and showed that this notion plays a significant role in the theory of Euclidean Bose fields. The attempt of extending Nelson's method to the case of Fermi fields naturally leads to the problem of defining a noncommutative Markov property.(...)

Accardi, L. (1975). On the noncommutative Markov property. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 9(1), 1-8 [10.1007/BF01078167].

On the noncommutative Markov property

ACCARDI, LUIGI
1975-01-01

Abstract

The notion of $(d)$--Markov property was introduced for discrete random fields by R.L. Dobrushin \cite{1.}. E. Nelson \cite{2.} formulated the Markov property in the continuous case and showed that this notion plays a significant role in the theory of Euclidean Bose fields. The attempt of extending Nelson's method to the case of Fermi fields naturally leads to the problem of defining a noncommutative Markov property.(...)
1975
Pubblicato
Rilevanza internazionale
Articolo
Nessuno
Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
English
An other version in russian language exists in the same review.
Accardi, L. (1975). On the noncommutative Markov property. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 9(1), 1-8 [10.1007/BF01078167].
Accardi, L
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/74667
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