Nonlocal quadratic forms with visibility constraint (joint work with Moritz Kassmann)
Duration: 1 hour 5 mins
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Vanja Wagner (University of Zagreb)
01/06/2022 Programme: TUR SemId: 35757 |
|---|
| Created: | 2022-06-08 11:42 |
|---|---|
| Collection: |
Mathematical aspects of turbulence: where do we stand?
- Latest Videos - |
| Publisher: | Vanja Wagner |
| Copyright: | Isaac Newton Institute |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
|
| Categories: |
iTunes - Science iTunes - Mathematics - Advanced Mathematics |
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | Given a subset $D$ of the Euclidean space, we study nonlocal quadratic forms that take into account tuples $(x, y) \in D \times D$ if and only if the line segment between $x$ and $y$ is contained in $D$. We discuss regularity of the corresponding Dirichlet form leading to the existence of a pure-jump process with visibility constraint. Our main aim is to investigate corresponding Poincar\' e inequalities and their scaling properties. For dumbbell shaped domains we show that the forms satisfy a Poincar\' e inequality with diffusive scaling. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 1152x720 | 661.21 kbits/sec | 314.79 MB | View | Download | |
| MPEG-4 Video | 576x360 | 238.55 kbits/sec | 113.57 MB | View | Download | |
| WebM | 1152x720 | 351.75 kbits/sec | 167.46 MB | View | Download | |
| WebM | 576x360 | 202.76 kbits/sec | 96.53 MB | View | Download | |
| iPod Video | 480x270 | 460.3 kbits/sec | 219.14 MB | View | Download | |
| MP3 | 44100 Hz | 252.8 kbits/sec | 120.35 MB | Listen | Download | |
| Auto * | (Allows browser to choose a format it supports) | |||||