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Nonclassical Probability and Convex Hulls

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0 Published in 2017 at "Erkenntnis"

DOI: 10.1007/s10670-016-9807-9

Abstract: AbstractIt is well known that the convex hull of the classical truth value functions contains all and only the probability functions. Work by Paris and Williams has shown that this also holds for various kinds… read more here.

Keywords: convex hulls; probability; nonclassical probability; convex ... See more keywords

Spectra of convex hulls of matrix groups

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1 Published in 2020 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2020.01.018

Abstract: The still-unsolved problem of determining the set of eigenvalues realized by $n$-by-$n$ doubly stochastic matrices, those matrices with row sums and column sums equal to $1$, has attracted much attention in the last century. This… read more here.

Keywords: hull spectra; hulls matrix; convex hulls; spectra convex ... See more keywords

Identifying molecular structural features by pattern recognition methods

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1 Published in 2022 at "RSC Advances"

DOI: 10.1039/d2ra00764a

Abstract: Identification of molecular structural features is a central part of computational chemistry. It would be beneficial if pattern recognition techniques could be incorporated to facilitate the identification. Currently, the quantification of the structural dissimilarity is… read more here.

Keywords: identifying molecular; molecular structural; convex hulls; pattern recognition ... See more keywords

Large deviations of convex hulls of self-avoiding random walks.

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1 Published in 2018 at "Physical Review E"

DOI: 10.1103/physreve.97.062159

Abstract: A global picture of a random particle movement is given by the convex hull of the visited points. We obtained numerically the probability distributions of the volume and surface of the convex hulls of a… read more here.

Keywords: convex hulls; deviations convex; self avoiding; random walks ... See more keywords

CONVEX HULLS OF SIERPIŃSKI RELATIVES

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1 Published in 2018 at "Fractals"

DOI: 10.1142/s0218348x18500986

Abstract: This paper presents an investigation of the convex hulls of the Sierpiński relatives. These fractals all have the same fractal dimension but different topologies. We prove that the relatives have convex hulls with polygonal boundaries… read more here.

Keywords: ski relatives; convex hulls; sierpi ski; hulls sierpi ... See more keywords