The transition matrix, which characterizes a discrete time homogeneous Markov chain, is a stochastic matrix. A stochastic matrix is a special nonnegative matrix with each row summing up to 1. In this paper, we focus on the computation of the stationary distribution of a transition matrix from the viewpoint of the Perron vector of a nonnegative matrix, based on which an algorithm for the station...

Supramolecular principles have been applied for improving the spin crossover activity of metal centers due to cooperative effects in solution. Thus, incorporation of alkyloxy tails at the phenyl group of Fe(sal2trien) 2a provides amphiphilic complexes Fe(sal-OR2trien) 2b-d (b, R = C6H13; c, R = C8H17; d, R = C18H37) comprising an apolar group for supramolecular organization and a polar headgrou...

The creation of molecular components for use as electronic devices has made enormous progress. In order to advance the field further toward realistic concepts, methods controlled modification conducting properties molecules contacted by metallic electrodes need be developed. Here a comprehensive study charge transport in class that allows modifications introducing metal centers into organic str...

We propose a Dynamic Boolean Network in which a state of a Boolean network and an output label associated with the state are interacting with each other, and a transition matrix keeps changing perpetually. We extrapolate a mutation of a transition matrix as T → Q−1TQ where T is a transition matrix and Q is a matrix representation of a permutation P (where the objects permuted are states of DBN)...

The Na 2 SO 4 samples were obtained by slow evaporation method. mechanisms of the formation electron and hole trapping centers are investigated spectroscopic methods. Intrinsic recombination emission 2.9–3.1 eV impurity 1.85 excited at 4.0–4.5 eV. 3− −SO − Mn + revealed. local levels corresponding between center decay intrinsic was recorded temperatures 130–150 K 280–350 K.