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New Directions and Problems of Multivariate Total Positivity Motivated by Genetic Recombination Probabilities

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Total Positivity and Its Applications

Part of the book series: Mathematics and Its Applications ((MAIA,volume 359))

Abstract

Some new results and open problems on multivariate totally positive (reverse rule) kernels defined on hypercubes in Euclidean n-space are described. Motivations stem from genetic mapping processes and recombination interference phenomena.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Stanford University, Stanford, CA, 94305-2125, USA

    Samuel Karlin

Authors
  1. Samuel Karlin
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Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, University of Zaragoza, Zaragoza, Spain

    Mariano Gasca

  2. IBM, T.J. Watson Research Center, Yorktown Heights, New York, USA

    Charles A. Micchelli

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© 1996 Springer Science+Business Media Dordrecht

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Karlin, S. (1996). New Directions and Problems of Multivariate Total Positivity Motivated by Genetic Recombination Probabilities. In: Gasca, M., Micchelli, C.A. (eds) Total Positivity and Its Applications. Mathematics and Its Applications, vol 359. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8674-0_13

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  • DOI: https://doi.org/10.1007/978-94-015-8674-0_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4667-3

  • Online ISBN: 978-94-015-8674-0

  • eBook Packages: Springer Book Archive

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