Showing papers on "Probability-generating function published in 1976"
TL;DR: In this article, the uniqueness of a solution of the Dobrushin-Lanford-Ruelle equation for random point processes with non-negative interaction potential is proved.
Abstract: We prove the uniqueness of a solution of the Dobrushin-Lanford-Ruelle equation for random point processes when the generating function (interaction potential) has no hard cores, is non-negative and rapidely decreasing.
14 citations
11 citations
TL;DR: In this article, a random-walk formulation for lattice-gas and continuum models is presented, where the Green function and weight function describing the random walk are related to the total pair correlation function of the model and to either the direct pair-correlation function or the first element of the direct correlation matrix.
Abstract: As a step towards a random-process formulation for classical fluids which ivolve many-body correlations, a random-walk formulation is presented wherein, for both lattice-gas and continuum models, the Green function and weight function describing the random walk are related to the total pair-correlation function of the model and to either the direct pair-correlation function or the first element of the direct correlation matrix.
9 citations
TL;DR: In this paper, a simple derivation of the bed-load function has been presented, and it was shown that the jump length of detached particles need not be assumed constant, and by treating it as a random variable, that it is only its mean value that influences the rate of transport regardless of what its probability density function may be.
Abstract: A simple derivation of the bed-load function has been presented. It was shown that the jump length of detached particles need not be assumed constant, and by treating it as a random variable, that it is only its mean value that influences the rate of transport regardless of what its probability density function may be. The present approach is considerably simpler than Einstein.s in that it does no need to consider multiple jumps and their probabilities. Further, a simple empirical equation for the probability of detachment was developed, which could be helpful when dealing with applications of the bed-load function.
2 citations
01 Jan 1976
TL;DR: In this paper, the authors derived explicit expressions of the probability density function for a non-stationary non-negative random process (a statistical Laguerre expansion type and a statistical Hermite expansion type) from the above two fundamental viewpoints of modeling a time series, in relation to the statistical method described in a previous paper by the authors.