Probabilistic limit shapes and harmonic functions
Istvan Prause (University of Eastern Finland)
Abstract: Limit shapes are surfaces in $\mathbb{R^3}$ which arise in the scaling limit of discrete random surfaces associated to various probability models such as domino tilings, random Young tableaux or the 5-vertex model. The limit surface is a minimiser of a gradient variational problem with a surface tension which encodes the local entropy of the model. I'll show that in an intrinsic complex variable these limit shapes can all be parametrised by harmonic functions across a variety of models. Some new features beyond determinantal settings will be discussed. The talk is based on joint works with Rick Kenyon.
complex variablesdynamical systems
Audience: researchers in the topic
CAvid: Complex Analysis video seminar
Series comments: Please e-mail R.Halburd@ucl.ac.uk for the Zoom link. Also, please let me know whether you would like to be added to the mailing list to automatically receive links for future talks in CAvid.
Organizer: | Rod Halburd* |
*contact for this listing |