Author

S. Bhamidi

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Open access Oct 2026

Critical first passage percolation on random graphs

In 1999, Zhang proved that for first passage percolation on the square lattice Z2 with i.i.d. nonnegative passage times on each edge, if the probability that an edge has zero passage time is exactly 1/2 (the critical threshold for bond percolation on Z2), then the passage time from the origin to the boundary of [−n,n]2...

S. Bhamidi, Rick Durrett, Xiang-Ying Huang · The Annals of Applied Probab... · 0 citations

Preprint Jul 2026

Subcritical percolation and network archaeology on random recursive tree substrate networks

This method uses auxiliary subcritical bond percolation to expose a tree-like renormalized structure: retained recursive-tree clusters form heavy-tailed blobs, retained shortcuts connect these blobs through a subcritical rank-one random graph, and large components are leading backbone blobs decorated by subcritical sho...

S. Bhamidi, Akshay Sakanaveeti · 0 citations