4 papers · 1 filter
Flexible random graph modeling for cell-cell interactions
Mike van Santvoort, Pim van der Hoorn
In this paper we explore generalisations to a random digraph model designed for modelling cell-cell interactions (RaCInG). In its baseline model -- tested both theoretically and in…
Projective limits of probabilistic symmetries and their applications to random graph limits
Pim van der Hoorn, Huck Stepanyants, Dmitri Krioukov
We couple projective limits of probability measures to direct limits of their symmetry groups. We show that the direct limit group is the group of symmetries of the projective limi…
Limiting Behavior of Degree-Degree Metrics under Local Convergence in Probability
Andrei-Eugeniu Patularu, Pim van der Hoorn
This paper investigates the limiting behaviour of degree-degree correlation metrics for sequences of random graphs under a general assumption of local convergence in probability. W…
Condensation in scale-free geometric graphs with excess edges
Remco van der Hofstad, Pim van der Hoorn, Céline Kerriou +2
We identify the upper large deviation probability for the number of edges in scale-free geometric random graph models as the space volume goes to infinity. Our result covers the mo…