Harmonic Bernoulli strings and random permutations
We examine fairly special b-harmonic Bernoulli strings appearing in n observations. It is shown that their count number can be used to define a random process converging to the Brownian motion as n tends to infinity. The proof is based upon the invariance principle for random permutations.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2004-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://www.journals.vu.lt/LMR/article/view/31867 |
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| _version_ | 1832593229944455168 |
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| author | Eugenius Manstavičius |
| author_facet | Eugenius Manstavičius |
| author_sort | Eugenius Manstavičius |
| collection | DOAJ |
| description |
We examine fairly special b-harmonic Bernoulli strings appearing in n observations. It is shown that their count number can be used to define a random process converging to the Brownian motion as n tends to infinity. The proof is based upon the invariance principle for random permutations.
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| format | Article |
| id | doaj-art-e52dcf4cfe8a4550a18eea82cfe41eba |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2004-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-e52dcf4cfe8a4550a18eea82cfe41eba2025-01-20T18:16:58ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2004-12-0144spec.10.15388/LMR.2004.31867Harmonic Bernoulli strings and random permutationsEugenius Manstavičius0Vilnius University We examine fairly special b-harmonic Bernoulli strings appearing in n observations. It is shown that their count number can be used to define a random process converging to the Brownian motion as n tends to infinity. The proof is based upon the invariance principle for random permutations. https://www.journals.vu.lt/LMR/article/view/31867Bernoulli stringinvariance principleBrownian motionsymmetric group |
| spellingShingle | Eugenius Manstavičius Harmonic Bernoulli strings and random permutations Lietuvos Matematikos Rinkinys Bernoulli string invariance principle Brownian motion symmetric group |
| title | Harmonic Bernoulli strings and random permutations |
| title_full | Harmonic Bernoulli strings and random permutations |
| title_fullStr | Harmonic Bernoulli strings and random permutations |
| title_full_unstemmed | Harmonic Bernoulli strings and random permutations |
| title_short | Harmonic Bernoulli strings and random permutations |
| title_sort | harmonic bernoulli strings and random permutations |
| topic | Bernoulli string invariance principle Brownian motion symmetric group |
| url | https://www.journals.vu.lt/LMR/article/view/31867 |
| work_keys_str_mv | AT eugeniusmanstavicius harmonicbernoullistringsandrandompermutations |