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Geometry of plane trees

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Abstract

The “true form” of plane trees, i.e., the geometry of sets p −1[0, 1], where p is a Chebyshev polynomial, is considered. Empiric data about the true form are studied and systematized.

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References

  1. J. Bétréma, D. Péré, and A. Zvonkin, Plane Trees and Their Shabat Polynomials. Catalog, Technical Report LaBRI No. 92-75, Bordeaux (1992).

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Correspondence to Yu. Yu. Kochetkov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 6, pp. 149–158, 2007.

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Kochetkov, Y.Y. Geometry of plane trees. J Math Sci 158, 106–113 (2009). https://doi.org/10.1007/s10958-009-9376-4

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  • DOI: https://doi.org/10.1007/s10958-009-9376-4

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