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math.PR2026
Cascade Surviving Cores via Local Limits
Souvik Dhara, Manish Pandey, Leonard J. Schulman
We consider a general class of cascading processes on marked networks, in which vertices are iteratively deleted according to a local vertex property. Under marked local-weak conve…
math.PR2024
Are giants in random digraphs `almost' local?
Remco van der Hofstad, Manish Pandey
Recently, the first author showed that the giant in random undirected graphs is `almost' local. This means that, under a necessary and sufficient condition, the limiting proportion…