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On Ball Numbers

Author

Listed:
  • Wolf-Dieter Richter

    (Institute of Mathematics, University of Rostock, Ulmenstraße 69, Haus 3, 18057 Rostock, Germany)

Abstract

We first shortly review, in part throwing a new light on, basics of ball numbers for balls having a positively homogeneous Minkowski functional and turn over then to a new particular class of ball numbers of balls having a Minkowski functional being homogeneous with respect to multiplication with a specific diagonal matrix. Applications to crystal breeding, temperature expansion and normalizing density generating functions in big data analysis are indicated and a challenging problem from the inhomogeneity program is stated.

Suggested Citation

  • Wolf-Dieter Richter, 2019. "On Ball Numbers," Mathematics, MDPI, vol. 7(8), pages 1-10, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:738-:d:256973
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    References listed on IDEAS

    as
    1. Wolf-Dieter Richter, 2015. "Convex and Radially Concave Contoured Distributions," Journal of Probability and Statistics, Hindawi, vol. 2015, pages 1-12, November.
    2. Müller K. & Richter W.-D., 2016. "Extreme value distributions for dependent jointly ln,p-symmetrically distributed random variables," Dependence Modeling, De Gruyter, vol. 4(1), pages 1-33, February.
    3. Wolf-Dieter Richter, 2017. "The Class of ( p , q )-spherical Distributions with an Extension of the Sector and Circle Number Functions," Risks, MDPI, vol. 5(3), pages 1-17, July.
    Full references (including those not matched with items on IDEAS)

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