Author

Shirshendu Chatterjee

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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 Sep 2026

Inhomogeneous Long-Range First-Passage Percolation in a Random Vertex Environment

We study inhomogeneous long-range first-passage percolation on $\mathbb{Z}^d$ with edge passage times $\lVert x-y\rVert^\alpha\omega_{xy}/(V_xV_y)$, where vertex weights have polynomial upper-tail exponent $\gamma$ and edge noises have polynomial lower-tail exponent $\theta$ at zero. The model interpolates between long...

Shirshendu Chatterjee, P. Dey, Daecheol Kim · 0 citations