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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