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Probabilistic potential theory applied to electrical engineering problems
Proceedings of the IEEE, 1973The mathematical equivalence between a potential satisfying a deterministic Laplace-type equation within a closed region and a certain probability associated with a particle exercising Brownian motion is described. Two methods are outlined for obtaining a potential by Brownian motion, the usual Monte Carlo method and a "number-diffusion" process.
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Probabilistic Potential Theory
2002Consider a random subset K of ℝ d . A basic problem in probabilistic potential theory is the following: For what nonrandom sets E is ℙ(K ∩ E ≠ o) positive ? The archetypal example of such a set K is the range of a random field. Let X = (X t ; t ∈ ℝ + N ) denote an N-parameter stochastic process that takes its values in ℝ d and consider the random set K
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A decision-making framework based on prospect theory with probabilistic linguistic term sets
Journal of the Operational Research Society, 2021Xiaoli Tian, Jing Gu, Zeshui Xu
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Probabilistic notch fatigue assessment under size effect using weakest link theory
Engineering Fracture Mechanics, 2022Qingyuan Wang +2 more
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POTENTIAL THEORY An Analytic and Probabilistic Approach to Balayage (Universitext)
Bulletin of the London Mathematical Society, 1987openaire +1 more source
Probabilistic block theory analysis for a rock slope at an open pit mine in USA
Computers and Geotechnics, 2014Jianhui Deng +2 more
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