Analytical and numerical studies of creation probabilities of hierarchical trees
We consider the creation conditions of diverse hierarchical trees both analytically and numerically. A connection between the probabilities to create hierarchical levels and the probability to associate these levels into a united structure is studied. We argue that a consistent probabilistic picture...
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| Datum: | 2011 |
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| Sprache: | English |
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Інститут фізики конденсованих систем НАН України
2011
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| Schriftenreihe: | Condensed Matter Physics |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Analytical and numerical studies of creation probabilities of hierarchical trees / A.I. Olemskoi, S.S. Borysov, I.A. Shuda // Condensed Matter Physics. — 2011. — Т. 14, № 1. — С. 14001: 1-6. — Бібліогр.: 14 назв. — англ. |
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oai:nasplib.isofts.kiev.ua:123456789-1199732025-02-23T17:06:50Z Analytical and numerical studies of creation probabilities of hierarchical trees Аналiтичне i чисельне дослiдження ймовiрностi утворення iєрархiчних дерев Olemskoi, A.I. Borysov, S.S. Shuda, I.A. We consider the creation conditions of diverse hierarchical trees both analytically and numerically. A connection between the probabilities to create hierarchical levels and the probability to associate these levels into a united structure is studied. We argue that a consistent probabilistic picture requires the use of deformed algebra. Our consideration is based on the study of the main types of hierarchical trees, among which both regular and degenerate ones are studied analytically, while the creation probabilities of Fibonacci, scale-free and arbitrary trees are determined numerically. Розглянуто аналiтично i чисельно умови утворення рiзних iєрархiчних дерев. Дослiджено зв’язок мiж ймовiрностями утворення iєрархiчних рiвнiв та ймовiрностi об’єднання цих рiвнiв у єдину структуру. Показано,що побудова послiдовної ймовiрнiсної картини вимагає використання деформованої алгебри. Даний розгляд заснований на дослiдженнi основних типiв iєрархiчних дерев,серед яких регулярне i вироджене дослiдженi аналiтично, тодi як ймовiрностi утворення дерева Фiбоначчi, безмасштабного та довiльного дерева визначенi чисельно. . 2011 Article Analytical and numerical studies of creation probabilities of hierarchical trees / A.I. Olemskoi, S.S. Borysov, I.A. Shuda // Condensed Matter Physics. — 2011. — Т. 14, № 1. — С. 14001: 1-6. — Бібліогр.: 14 назв. — англ. 1607-324X PACS: 02.50.-r, 89.75.-k, 89.75.Fb DOI:10.5488/CMP.14.14001 arXiv:1106.3578 https://nasplib.isofts.kiev.ua/handle/123456789/119973 en Condensed Matter Physics application/pdf Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We consider the creation conditions of diverse hierarchical trees both analytically and numerically. A connection between the probabilities to create hierarchical levels and the probability to associate these levels into a united structure is studied. We argue that a consistent probabilistic picture requires the use of deformed algebra. Our consideration is based on the study of the main types of hierarchical trees, among which both regular and degenerate ones are studied analytically, while the creation probabilities of Fibonacci, scale-free and arbitrary trees are determined numerically. |
| format |
Article |
| author |
Olemskoi, A.I. Borysov, S.S. Shuda, I.A. |
| spellingShingle |
Olemskoi, A.I. Borysov, S.S. Shuda, I.A. Analytical and numerical studies of creation probabilities of hierarchical trees Condensed Matter Physics |
| author_facet |
Olemskoi, A.I. Borysov, S.S. Shuda, I.A. |
| author_sort |
Olemskoi, A.I. |
| title |
Analytical and numerical studies of creation probabilities of hierarchical trees |
| title_short |
Analytical and numerical studies of creation probabilities of hierarchical trees |
| title_full |
Analytical and numerical studies of creation probabilities of hierarchical trees |
| title_fullStr |
Analytical and numerical studies of creation probabilities of hierarchical trees |
| title_full_unstemmed |
Analytical and numerical studies of creation probabilities of hierarchical trees |
| title_sort |
analytical and numerical studies of creation probabilities of hierarchical trees |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2011 |
| citation_txt |
Analytical and numerical studies of creation probabilities of hierarchical trees / A.I. Olemskoi, S.S. Borysov, I.A. Shuda // Condensed Matter Physics. — 2011. — Т. 14, № 1. — С. 14001: 1-6. — Бібліогр.: 14 назв. — англ. |
| series |
Condensed Matter Physics |
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2025-07-22T04:09:20Z |
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2025-07-22T04:09:20Z |
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