Events Archive

Nina Gantert: Three questions about branching Markov chains

We discuss some questions about branching Markov chains, in particular recurrence/transience, the growth of the maximal distance to the origin, and a localisation question for branching Markov chains with a catalyst.
The talk is based on joint work with Julien Berestycki, David Geldbach, Quan Shi, work in progress with Alice Callegaro and Carlo Scali, and work in progress with Xinxin Chen, Haojie Hou and Quan Shi.

Alexis Prevost: Hausdorff dimension of the critical clusters for the metric graph Gaussian free field
I will review recent results concerning the phase transition for a strongly correlated percolation model called the metric graph Gaussian free field. In particular, I will focus on the Hausdorff dimension of the critical connected components, as well as on the critical exponents which describe the volume of these components on graphs of intermediate dimension.