Quantum semi-Markov processes.

The KTH Visit in Semi-Markov Processes

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

Dynamical fluctuations for semi-Markov processes

We develop an Onsager-Machlup-type theory for nonequilibrium semi-Markov processes. Our main result is an exact large time asymptotics for the joint probability of the occupation times and the currents in the system, establishing some generic large deviation structures. We discuss in detail how the nonequilibrium driving and the non-exponential waiting time distribution influence the occupation...

Continuous-time quantum walks on semi-regular spidernet graphs via quantum probability theory

We analyze continuous-time quantum and classical random walk on spidernet lattices. In the framework of Stieltjes transform, we obtain density of states, which is an efficiency measure for the performance of classical and quantum mechanical transport processes on graphs, and calculate the spacetime transition probabilities between two vertices of the lattice. Then we analytically show that ther...

Overshoot Functionals for Almost Semi-continuous Processes Defined on a Markov Chain

The distribution of extrema and overjump functionals for the semi-continuous processes (processes that intersect positive or negative level continuously) on a Markov chain were considered by many authors( for instance, see [1] [3]). In the paper [4] the distribution of extrema for almost semi-continuous processes were treated (the processes that intersect positive or negative level by exponenti...