Author

Grigory Terlov

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Preprint Sep 2026

$\beta$-Skewed Maximal Spanning Forests

The Free $\mathbf{w}$-Maximal Spanning Forest (FMaxSF) is a weighted generalization of the classical Free Minimal Spanning Forest (FMSF) that is able to detect nonhyperfiniteness in percolation on nonunimodular graphs. We introduce a parameterized family of invariant random spanning forests that interpolates between th...

Shirshendu Chatterjee, Yang Chen, Grigory Terlov · 0 citations

Preprint Aug 2026

Interface between competing random walks on a cycle

We consider a competition between two independent random walks on a cycle of length $N$. Each vertex is claimed by the walker that visits it first, and remains claimed thereafter. We prove that if the initial distance between the walkers is $d$, then the expected number of edges whose endpoints are claimed by different...

S. Chatterjee, Nadya Nabahi, Grigory Terlov · 1 citation