Transition probabilities and transition rates in discrete phase space

Phase transition phenomena in random discrete structures

A random discrete structure is a combinatorial object, which emerges as a result of a series of random experiments; equivalently, it can be viewed as a probability space whose elements are combinatorial structures as graphs, hypergraphs, permutations etc. In many of random discrete structures a small change of parameters of the model can greatly affect its (typical) behaviour. One of the semina...

Transition Probabilities for Continual

Monte Carlo transition probabilities

Transition probabilities governing the interaction of energy packets and matter are derived that allow Monte Carlo NLTE transfer codes to be constructed without simplifying the treatment of line formation. These probabilities are such that the Monte Carlo calculation asymptotically recovers the local emissivity of a gas in statistical and radiative equilibrium. Numerical experiments with one-po...

Phase-space signatures of the Anderson transition

We use the inverse participation ratio based on the Husimi function to perform a phase-space analysis of the Anderson model in one, two, and three dimensions. Important features of the quantum states remain observable in phase space in the large system size limit, while they would be lost in a realor momentum-space description. From perturbative approaches in the limits of weak and strong disor...

Including Non-markovian Transition Probabilities