Noncommutative Markov Processes

Quantum Quasi-markov Processes, L-dynamics, and Noncommutative Girsanov Transformation

We review the basic concepts of quantum stochastics using the universal Itô *-algebra approach. The main notions and results of classical and quantum stochastics are reformulated in this unifying approach. The thermal quantum Lévy process with commuting increments is defined in terms of the modular *-Itô algebra. The quasi-Markov quantum stochastic processes over increasing W*-algebras generate...

ON THE INFINITE ORDER MARKOV PROCESSES

The notion of infinite order Markov process is introduced and the Markov property of the flow of information is established.

The KTH Visit in Semi-Markov Processes

Markov Processes

1 General Properties of Markov Processes 2 1.1 Discrete Time Processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.1.1 Classification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.1.2 Steady State . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 Continuous Time Processes . . . . ...

Application of Markov Processes to the Machine Delays Analysis

Production and non-productive equipment and personnel delays are a critical element of any production system. The frequency and length of delays impact heavily on the production and economic efficiency of these systems. Machining processes in wood industry are particularly vulnerable to productive and non-productive delays. Whereas, traditional manufacturing industries usually operate on homoge...