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Rational sphere maps, linear programming, and compressed sensing

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We develop a link between degree estimates for rational sphere maps and compressed sensing. We provide several new ideas and many examples, both old and new, that amplify connections with linear programming. We close with a list of ten open problems.

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Correspondence to John P. D’Angelo.

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In memory of Nick Hanges.

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D’Angelo, J.P., Grundmeier, D. & Lebl, J. Rational sphere maps, linear programming, and compressed sensing. Complex Anal Synerg 6, 4 (2020). https://doi.org/10.1007/s40627-020-0041-5

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  • Rational sphere maps
  • CR complexity
  • Proper holomorphic maps
  • Compressed sensing
  • Linear programming

Mathematics Subject Classification

  • 32H35
  • 32M99
  • 32V99
  • 90C05
  • 94A12