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Calculating the Secrets of Life Contributions of the Mathematical Sciences to Molecular Biology (1995) / Chapter Skim
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Pages 139-141

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From page 139...
... b = o(n) Combinatorial Assemblies The spirit of the approximations in the preceding subsection-replacing a dependent process with an independent on~carnes over to other combinatorial structures.
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From page 140...
... ' iZi . This observation reduces the calculation of a total variation distance between two processes to the calculation of a total variation distance between two random variables.
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From page 141...
... This recovers the classical result of Goncharov (1944) showing that the cycle counts of a random permutation are asymptotically independent Poisson random variables with means 1/i.
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Key Terms

  • total variation
  • random mappings
  • independent poisson
  • combinatorial structures
  • random variables

  • dependent process
  • random variable
  • poisson random
  • variation distance


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