(2+1)-dimensional growth process for discrete interfaces: stationary states, fluctuat
Date
Thursday, January 19, 2017 16:00 - 18:00
Speaker
Fabio Toninelli (University Lyon)
Location
Seminar room Big Ground floor / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Laszlo Erdös
Contact
Url
This talk focuses on 2+1 dimensional interface growth models. I will talk about a Markov chain on lozenge tilings of the plane, introduced by A. Borodin and P. L. Ferrari [CMP 2014]. This can be viewed as a 2+1-dimensional stochastic growth process (the growing discrete interface being the height function associated to the tiling) or as a totally asymmetric interacting 2-d particle system. I will briefly recall some results from Borodin and Ferrari, and then present new results on stationary states, growth of fluctuations, connection with the "Anisotropic KPZ equation" and hydrodynamic limits. This is based on arXiv:1503.05339 and on work in progress with M. Legras. If time allows, I will present related results obtained in collaboration with A. Borodin and I. Corwin