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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Nonlocal quadratic forms with visibility constraint (joint work with Moritz Kassmann)

## Nonlocal quadratic forms with visibility constraint (joint work with Moritz Kassmann)Add to your list(s) Download to your calendar using vCal - Vanja Wagner (University of Zagreb)
- Wednesday 01 June 2022, 13:00-14:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. TUR - Mathematical aspects of turbulence: where do we stand? 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. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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