Committee 2: Transition Probabilities

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...

Including Non-markovian Transition Probabilities

Monte Carlo transition probabilities . II .

An abstract should be given The macroscopic quantizations of matter into macro-atoms and radiant and thermal energies into r-and k-energy packets initiated in Paper I is completed with the definition of transition probabilities governing energy flows to and from the thermal pool. The resulting Monte Carlo method is then applied to the problem of computing the hydrogen spectrum of a Type II supe...

Lower bounds for transition probabilities on graphs

The paper presents two results. The first one provides separate conditions for the upper and lower estimate of the distribution of the exit time from balls of a random walk on a weighted graph. The main result of the paper is that the lower estimate follows from the elliptic Harnack inequality. The second result is an off-diagonal lower bound for the transition probability of the random walk.