Area of Brownian Motion with Generatingfunctionology
This paper gives a survey of the limit distributions of the areas of different types of random walks, namely Dyck paths, bilateral Dyck paths, meanders, and Bernoulli random walks, using the technology of generating functions only.
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2003-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | https://dmtcs.episciences.org/3321/pdf |
| _version_ | 1827324173138001920 |
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| author | Michel Nguyên Thê |
| author_facet | Michel Nguyên Thê |
| author_sort | Michel Nguyên Thê |
| collection | DOAJ |
| description | This paper gives a survey of the limit distributions of the areas of different types of random walks, namely Dyck paths, bilateral Dyck paths, meanders, and Bernoulli random walks, using the technology of generating functions only. |
| first_indexed | 2024-04-25T02:07:50Z |
| format | Article |
| id | doaj.art-f17799eff6fc4678a24ff7196ca0f6be |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:07:50Z |
| publishDate | 2003-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-f17799eff6fc4678a24ff7196ca0f6be2024-03-07T14:29:56ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502003-01-01DMTCS Proceedings vol. AC,...Proceedings10.46298/dmtcs.33213321Area of Brownian Motion with GeneratingfunctionologyMichel Nguyên Thê0Laboratoire d'Informatique Gaspard-MongeThis paper gives a survey of the limit distributions of the areas of different types of random walks, namely Dyck paths, bilateral Dyck paths, meanders, and Bernoulli random walks, using the technology of generating functions only.https://dmtcs.episciences.org/3321/pdfdyck pathbernoulli random walkbrownian motiongenerating functionsweak convergence of stochastic processes.[info.info-ds] computer science [cs]/data structures and algorithms [cs.ds][info.info-dm] computer science [cs]/discrete mathematics [cs.dm][math.math-co] mathematics [math]/combinatorics [math.co][info.info-cg] computer science [cs]/computational geometry [cs.cg] |
| spellingShingle | Michel Nguyên Thê Area of Brownian Motion with Generatingfunctionology Discrete Mathematics & Theoretical Computer Science dyck path bernoulli random walk brownian motion generating functions weak convergence of stochastic processes. [info.info-ds] computer science [cs]/data structures and algorithms [cs.ds] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-cg] computer science [cs]/computational geometry [cs.cg] |
| title | Area of Brownian Motion with Generatingfunctionology |
| title_full | Area of Brownian Motion with Generatingfunctionology |
| title_fullStr | Area of Brownian Motion with Generatingfunctionology |
| title_full_unstemmed | Area of Brownian Motion with Generatingfunctionology |
| title_short | Area of Brownian Motion with Generatingfunctionology |
| title_sort | area of brownian motion with generatingfunctionology |
| topic | dyck path bernoulli random walk brownian motion generating functions weak convergence of stochastic processes. [info.info-ds] computer science [cs]/data structures and algorithms [cs.ds] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-cg] computer science [cs]/computational geometry [cs.cg] |
| url | https://dmtcs.episciences.org/3321/pdf |
| work_keys_str_mv | AT michelnguyenthe areaofbrownianmotionwithgeneratingfunctionology |