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Universität Augsburg
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Universität Augsburg
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Thomas Richthammer
Paderborn
spricht am
Montag, 2. Februar 2026
um
12:30 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| We consider Bernoulli percolation on a graph G = (V,E). Interpreting some chosen reference vertex o in V as the origin of an infection, the percolation cluster of o corresponds to the set of all infected vertices. It is very natural to expect that the probability for a vertex v in V to be infected should (in some sense) be decreasing in the distance of v to o. One possible rigorous formulation of this property is the famous bunkbed conjecture, which dates back to the 80s and only recently has been disproven. It seems that this kind of spatial monotonicity property of percolation in general is difficult to obtain. Here we present several results relying on symmetry considerations or a Markov chain approach. Some of these results are joint work with Philipp König. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Stefan Großkinsky |