Multidimensional p-adic metric and genetic code
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2011-03-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu927 |
| _version_ | 1818564407274242048 |
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| author | A. Yu. Khrennikov S. V. Kozyrev |
| author_facet | A. Yu. Khrennikov S. V. Kozyrev |
| author_sort | A. Yu. Khrennikov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-14T01:28:30Z |
| format | Article |
| id | doaj.art-1ef87488c9ad42b2b6409dbb6fd194c7 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-14T01:28:30Z |
| publishDate | 2011-03-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-1ef87488c9ad42b2b6409dbb6fd194c72022-12-21T23:22:07ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-03-011(22)11311710.14498/vsgtu927Multidimensional p-adic metric and genetic codeA. Yu. KhrennikovS. V. KozyrevWe 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.http://mi.mathnet.ru/eng/vsgtu927 |
| spellingShingle | A. Yu. Khrennikov S. V. Kozyrev Multidimensional p-adic metric and genetic code Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| title | Multidimensional p-adic metric and genetic code |
| title_full | Multidimensional p-adic metric and genetic code |
| title_fullStr | Multidimensional p-adic metric and genetic code |
| title_full_unstemmed | Multidimensional p-adic metric and genetic code |
| title_short | Multidimensional p-adic metric and genetic code |
| title_sort | multidimensional p adic metric and genetic code |
| url | http://mi.mathnet.ru/eng/vsgtu927 |
| work_keys_str_mv | AT ayukhrennikov multidimensionalpadicmetricandgeneticcode AT svkozyrev multidimensionalpadicmetricandgeneticcode |