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- Title:
Max-linear models in random environment
- Document type:
- Zeitungsartikel
- Author(s):
- Klüppelberg, C.; Sönmez, E.
- Abstract:
- We extend previous work of max-linear models on finite directed acyclic graphs to infinite graphs, and investigate their relations to classical percolation theory. We formulate results for the oriented square lattice graph Z^2 and nearest neighbour bond percolation. Focus is on the dependence introduced by this graph into the max-linear model. As a natural application, we consider communication networks, in particular, the distribution of extreme opinions in social networks.
- Keywords:
- Bernoulli bond percolation, extreme value theory, graphical model, infinite graph, percolation, recursive max-linear model.
- Dewey Decimal Classification:
- 510 Mathematik
- Journal title:
- Preprint
- Year:
- 2022
- Year / month:
- 2022-03
- Quarter:
- 1. Quartal
- Month:
- Mar
- Language:
- en
- Status:
- Preprint / submitted
- TUM Institution:
- Lehrstuhl für Mathematische Statistik
- Format:
- Text
BibTeX