in this research, a first order markov chain model was applied to simulate soil salinity in nine standard depths and 10 classes in the cultivated pistachio areas of ardakan city. transition probability matrix, kernel and uniform distribution were used to simulate 500000 soil profiles. results indicate kernel function could reproduce soil salinity values with statistical criteria (i.e. mean, sta...

In this work, we have investigated nonadiabatic dynamics in the vicinity of conical intersections for predissociation reactions of partially deuterated thioanisole molecules: C6H5S-CH2D and C6H5S-CHD2. Each isotopomer has two distinct rotational conformers according to the geometrical position of D or H of the methyl moiety with respect to the molecular plane for C6H5S-CH2D or C6H5S-CHD2, respe...

Random walks on simple graphs in connection with electrical resistor networks lead to the definition of Markov chains with transition probability matrix in terms of electrical conductances. We extend this definition to an effective transition matrix Pij to account for the probability of going from vertex i to any vertex j of the original connected graph G. Also, we present an algorithm based on...

Abstract We consider an equation of the geodesic deviation appearing in problem gravitational wave detection environment gravitons. investigate a state-dependent graviton noise (as discussed recent paper by Parikh,Wilczek and Zahariade) from point view Feynman integral stochastic differential equations. The evolution density matrix transition probability gravitons is obtained. express time solu...

Let us consider a homogeneous Markov chain with discrete time and with a finite set of states are nonrecurrent. The goal of this work is to study frequencies of trajectories in this chain, i.e., " words " composed of symbols E 1 ,. .. , E n ending with the " space " E 0. Let us order words according to their probabilities ; denote by p(t) the probability of the tth word in this list. In this pa...

Active study has recently been conducted on Non-intrusive Load Monitoring (NILM) system to construct a cost-efficient household energy management framework. The conventional method, however, is not easily applicable to appliances that exhibit a complex operating mode or multiple states of power consumption. In this paper, we propose a NILM system that considers especially multiple power states ...

According to the fundamental theory of Markov chains, under a simple connectedness condition, iteration of a Markov transition matrix P , on any random initial state probability vector, will converge to a unique stationary distribution, whose probability vector corresponds to the left eigenvector associated with the dominant eigenvalue λ1 = 1. The corresponding convergence speed is governed by ...