Dynamical fluctuations for semi-Markov processes

The KTH Visit in Semi-Markov Processes

Quantum semi-Markov processes.

We construct a large class of non-Markovian master equations that describe the dynamics of open quantum systems featuring strong memory effects, which relies on a quantum generalization of the concept of classical semi-Markov processes. General conditions for the complete positivity of the corresponding quantum dynamical maps are formulated. The resulting non-Markovian quantum processes allow t...

On and beyond entropy production: the case of Markov jump processes

How is it that entropy derivatives almost in their own are characterizing the state of a system close to equilibrium, and what happens further away from it? We explain within the framework of Markov jump processes why fluctuation theory can be based on considerations involving entropy production alone when perturbing around the detailed balance condition. Variational principles such as that of ...

Random Evolutions

This article gives a short presentation of random evolutions. At first, the following two examples are presented: dynamical stochastic systems and increment processes both in Markov media. After, an introduction to semi-Markov Random evolution in a Banach space is given, where the previous evolutionary systems are obtained as particular cases. Finally, two abstract limit theorems of average and...

Semi-pullbacks and bisimulation in categories of Markov processes

Received We show that the category whose objects are famidclies of Markov processes on Polish spaces, with a given transition kernel, and whose morphisms are transition probability preserving, surjective continuous maps has semi-pullbacks, i.e. for any pair of morphisms fi : Si ! S (i = 1; 2), there exists an object V and morphisms i : V ! Si (i = 1; 2) such that f1 1 = f2 2. This property hold...