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Sandra Kliem<br />
Sandra Kliem has only started working at <strong>EURANDOM</strong> this October.<br />
She is since then investigating how to combine coalescent behaviour of blocks at same sites with migration<br />
on the hierarchical lattice in the spirit of the renormalization program of Dawson and Greven.<br />
Furthermore, she kept working on the survival/extinction-behaviour of solutions to the KPP-equation<br />
with branching white noise.<br />
Artem Sapozhnikov<br />
With Michael Damron (Princeton) and Balint Vagvolgyi (FU-Amsterdam) he was working on problems<br />
related to near-critical two-dimensional percolation. In two papers we study so-called invasion percolation<br />
on two-dimensional lattices. We obtain a comprehensive description of connectivity structure of<br />
the invasion percolation cluster. In particular, we were able to show that the law of the invasion percolation<br />
cluster is mutually singular with respect to the law of the incipient infinite cluster. We also made<br />
significant progress in understanding the joint law of the so-called ponds of the invasion.<br />
Lihu Xu<br />
1. He will mainly concentrate on the project 'renormalization transform' with Frank den Hollander and<br />
on the project 'functional inequalities in SPDEs'.<br />
2. He is now very interested in the population dynamics and writing a lecture note on this topic (which<br />
is based on the lectures given by Prof. Dawson) for the benefit of him self.<br />
Workshops and conferences<br />
In 2009 RSS organized 3 workshops<br />
Lectures and seminars<br />
In 2009 RSS organized 12 lectures and seminars (RSS regular and RSS Reading seminars)<br />
<strong>EURANDOM</strong> visitors<br />
In 2009 RSS hosted 9 visitors; altogether for 37 weeks.<br />
<strong>EURANDOM</strong> Annual Report 2009 13