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math.PR2026
-Skewed Maximal Spanning Forests
Shirshendu Chatterjee, Yang Chen, Grigory Terlov
The Free -Maximal Spanning Forest (FMaxSF) is a weighted generalization of the classical Free Minimal Spanning Forest (FMSF) that is able to detect nonhyperfiniteness i…
math.PR2026
Interface between competing random walks on a cycle
Shirshendu Chatterjee, Nadya Nabahi, Grigory Terlov
We consider a competition between two independent random walks on a cycle of length . Each vertex is claimed by the walker that visits it first, and remains claimed thereafter.…
math.PR2026
Limiting distributions of triangle counts in linear preferential attachment models
Partha S. Dey, Grigory Terlov
We derive distributional approximations for the number of triangles in the linear preferential attachment model , where and , with explicit rates…