Fluctuation results for the outer domain of Hastings-Levitov clusters

Add to your list(s) Download to your calendar using vCal

• Vittoria Silvestri (CCA)
• Wednesday 27 January 2016, 16:00-17:00
• MR14, Centre for Mathematical Sciences.

If you have a question about this talk, please contact Mr Simone Parisotto.

This talk focuses on a stochastic process on the space of holomorphic functions, which describes the growth of a random cluster on the complex plane. As a warm up, I will start by briefly discussing some discrete random growth models, such as the Eden model, DLA and Internal DLA . I will then define a continuum growth model, so called Hastings-Levitov, together with a stochastic process on the space of holomorphic functions which uniquely encodes it. Of this process I will discuss scaling limit and fluctuations, showing that the latter are given by a Gaussian holomorphic function which can be explicitly constructed. I will then conclude the talk by presenting some open questions.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

This talk is included in these lists:

• All CMS events
• CMS Events
• Cambridge Analysts' Knowledge Exchange
• DAMTP info aggregator
• Interested Talks
• MR14, Centre for Mathematical Sciences
• My seminars
• bld31

Note that ex-directory lists are not shown.