Algebraic Markov processes
DOI:
https://doi.org/10.22199/S07160917.1999.0003.00003Abstract
In this chapter we describe the abstract definiton and the basic facts on algebraic Markov processes (see [5]). The main goal is to show that the fundamental definitions and properties of Markov processes are easiy formulated in an algebraic languaje suitable for the study of Markov processes appearing in quantum theory. Moreover, we discuss in detail the notion of complete positivity which turns out to be the natural generalisation of positivity for commutative (classical) case and a non-commutative version of the Feynman-Kac formula which is the basic ingredient in the construction of Markov cocycles and processes.
Published
2018-04-04
How to Cite
[1]
F. Fagnola, “Algebraic Markov processes”, Proyecciones (Antofagasta, On line), vol. 18, no. 3, pp. 13-28, Apr. 2018.
Issue
Section
Artículos
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
