Thick Points of Random Walk and the Gaussian Free Field
23 mins 58 secs,
43.87 MB,
MP3
44100 Hz,
249.89 kbits/sec
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About this item
| Description: |
Jego, A
Wednesday 18th July 2018 - 09:35 to 09:55 |
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| Created: | 2018-07-18 13:49 |
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| Collection: | RGM follow up |
| Publisher: | Isaac Newton Institute |
| Copyright: | Jego, A |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | We consider the thick points of random walk, i.e. points where the local time is a fraction of the maximum. In two dimensions, we answer a question of Dembo, Peres, Rosen and Zeitouni and compute the number of thick points of planar random walk, assuming that the increments are symmetric and have a finite moment of order two. The proof provides a streamlined argument based on the connection to the Gaussian free field and works in a very general setting including isoradial graphs. In higher dimensions, we show that the number of thick points converges to a nondegenerate random variable and that the maximum of the local times converges to a randomly shifted Gumbel distribution.
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| Format | Quality | Bitrate | Size | |||
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| MPEG-4 Video | 640x360 | 1.94 Mbits/sec | 348.49 MB | View | Download | |
| iPod Video | 480x270 | 522.06 kbits/sec | 91.58 MB | View | Download | |
| MP3 * | 44100 Hz | 249.89 kbits/sec | 43.87 MB | Listen | Download | |
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