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.(...)File in questo prodotto:
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