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Samband mellan länkade partitioner och permutationsstatistik
Örebro University, School of Science and Technology.
2019 (Swedish)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [sv]

Vi visar att permutationsstatistikerna antal fall och antal inversioner har identisk fördelning med antal vänsterpunkter och total båglängd för länkade partitioner. Även fördelningen för antal cykler och xpunkter bevisas vara identiska. Vidare tittar vi närmare på Mahonska tal, speciellt Mahonska tal med mönsternotation.

Abstract [en]

We show that the permutationstatistics descents and inversions have identical distribution with the statistics leftpoints and arclength for linked partitions. We also show that the number of cycles and xed points have an identical distribution. Furthermore we take a closer look at Mahonian numbers, specically Mahonian numbers with pattern notation.

Place, publisher, year, edition, pages
2019. , p. 18
National Category
Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-76456OAI: oai:DiVA.org:oru-76456DiVA, id: diva2:1351645
Subject / course
Mathematics
Supervisors
Examiners
Available from: 2019-09-16 Created: 2019-09-16 Last updated: 2019-09-16Bibliographically approved

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390547487d5abd6e6dd24dc104b4cab31197cc358a45eb60fec618cdd49af5e3a693ecaada30c3c8f6e1a0c982b4c8eb769ab5ed739b6aa6a3f3d05787f14828
Type fulltextMimetype application/pdf

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CiteExportLink to record
Permanent link

Direct link
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf