Multidimensional p-adic metric and genetic code

Abstract


We discuss the family of metrics in multimensional p-adic spaces. For a metric under consideration the set of balls differs from the set of balls for the standard multidimensional metric. Moreover, we it is possible to consider the metrics for which the form of the sets of balls depends on the scale and position. As the example of the introduced metric spaces we study the 2-adic parametrization of the genetic code. We show that the degeneracy of the genetic code is described by the metric space from the considered family, i.e. the map of the genetic code is constant for the balls with respect to the metric from the introduced class.

About the authors

Sergey V Kozyrev

Steklov Mathematical Institute, Russian Academy of Sciences

Email: kozyrev@mi.ras.ru
(д.ф.-м.н.), ведущий научный сотрудник, отдел математической физики; Математический институт им. В. А. Стеклова РАН; Steklov Mathematical Institute, Russian Academy of Sciences

Andrei Yu Khrennikov

Linnæus University

Email: kozyrev@mi.ras.ru
; Linnæus University

References

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