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

If you have a question about this talk, please contact nobody.

FKT - Frontiers in kinetic theory: connecting microscopic to macroscopic scales - KineCon 2022

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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity