Baire Categorical Aspects of First Passage Percolation
In the previous decades, the theory of first passage percolation became a highly important area of probability theory. In this work, we will observe what can be said about the corresponding structure if we forget about the probability measure defined on the product space of edges and simply consider...
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| Formátum: | TDK/OTDK dolgozat |
| Nyelv: | angol |
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2017
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| Online elérés: | http://hdl.handle.net/10831/38082 |
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edit-10831-380822018-08-31T10:43:20Z Baire Categorical Aspects of First Passage Percolation Maga, Balázs Buczolich, Zoltán mathemathics Matematikus TDK TDK dolgozat In the previous decades, the theory of first passage percolation became a highly important area of probability theory. In this work, we will observe what can be said about the corresponding structure if we forget about the probability measure defined on the product space of edges and simply consider topology in the terms of residuality. We focus on interesting questions arising in the probabilistic setup that make sense in this setting, too. We will see that certain classical almost sure events, as the existence of geodesics have residual counterparts, while the notion of the limit shape or time constants gets as chaotic as possible. 2017 info:eu-repo/semantics/workingPaper hallgatói dolgozat http://hdl.handle.net/10831/38082 eng info:eu-repo/semantics/openAccess application/pdf LOMS: https://edit.elte.hu/xmlui/bitstream/10831/38082/1/MagaTDK.pdf |
| institution |
L_EDIT |
| language |
English |
| topic |
mathemathics Matematikus TDK TDK dolgozat |
| spellingShingle |
mathemathics Matematikus TDK TDK dolgozat Maga, Balázs Baire Categorical Aspects of First Passage Percolation |
| topic_facet |
mathemathics Matematikus TDK TDK dolgozat |
| description |
In the previous decades, the theory of first passage percolation became a highly important area of probability theory. In this work, we will observe what can be said about the corresponding structure if we forget about the probability measure defined on the product space of edges and simply consider topology in the terms of residuality. We focus on interesting questions arising in the probabilistic setup that make sense in this setting, too. We will see that certain classical almost sure events, as the existence of geodesics have residual counterparts, while the notion of the limit shape or time constants gets as chaotic as possible. |
| author_additional |
Buczolich, Zoltán |
| format |
Scientific Student Body Thesis |
| physical |
application/pdf |
| author |
Maga, Balázs |
| author_facet |
Maga, Balázs |
| title |
Baire Categorical Aspects of First Passage Percolation |
| title_short |
Baire Categorical Aspects of First Passage Percolation |
| title_full |
Baire Categorical Aspects of First Passage Percolation |
| title_fullStr |
Baire Categorical Aspects of First Passage Percolation |
| title_full_unstemmed |
Baire Categorical Aspects of First Passage Percolation |
| title_sort |
baire categorical aspects of first passage percolation |
| publishDate |
2017 |
| publishDateSort |
2017 |
| url |
http://hdl.handle.net/10831/38082 |
| first_indexed |
2018-08-31T10:43:20Z |
| last_indexed |
2023-09-01T12:02:56Z |
| _version_ |
1775829071932948480 |
| score |
13,371168 |