526 citations
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Showing 2020 · math.PRShow all
3 papers · 2 filters
math.PR2020★ 4 cited
On the modularity of 3-regular random graphs and random graphs with given degree sequences
Lyuben Lichev, Dieter Mitsche
The modularity of a graph is a parameter that measures its community structure; the higher its value (between and ), the more clustered the graph is. In this paper we show t…
math.PR2020
Limit theory of combinatorial optimization for random geometric graphs
Dieter Mitsche, Mathew D. Penrose
In the random geometric graph , vertices are placed randomly in Euclidean -space and edges are added between any pair of vertices distant at most from each o…
math.PR2020★ 41 cited
Large Deviations and Exit-times for reflected McKean-Vlasov equations with self-stabilizing terms and superlinear drifts
Daniel Adams, Gonçalo dos Reis, Romain Ravaille +2
We study a class of reflected McKean-Vlasov diffusions over a convex domain with self-stabilizing coefficients. This includes coefficients that do not satisfy the classical Wassers…