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math.PR2026
The rank and layer distributions in random recursive trees
Huck Stepanyants, P. L. Krapivsky, Harrison Hartle +1
The distribution of node depths in a network is crucial for analyzing network structure. Two measures, rank and layer, quantify how deep inside a network a node is. The rank is the…
math.PR2026
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…