Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2405.05102 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909195510480896 |
|---|---|
| author | Aldous, David J. Janson, Svante Li, Xiaodan |
| author_facet | Aldous, David J. Janson, Svante Li, Xiaodan |
| contents | The decreasing Markov chain on \{1,2,3, \ldots\} with transition probabilities $p(j,j-i) \propto 1/i$ arises as a key component of the analysis of the beta-splitting random tree model. We give a direct and almost self-contained "probability" treatment of its occupation probabilities, as a counterpart to a more sophisticated but perhaps opaque derivation using a limit continuum tree structure and Mellin transforms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05102 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Harmonic Descent Chain Aldous, David J. Janson, Svante Li, Xiaodan Probability 60J10 The decreasing Markov chain on \{1,2,3, \ldots\} with transition probabilities $p(j,j-i) \propto 1/i$ arises as a key component of the analysis of the beta-splitting random tree model. We give a direct and almost self-contained "probability" treatment of its occupation probabilities, as a counterpart to a more sophisticated but perhaps opaque derivation using a limit continuum tree structure and Mellin transforms. |
| title | The Harmonic Descent Chain |
| topic | Probability 60J10 |
| url | https://arxiv.org/abs/2405.05102 |