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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
The effects of individual versus community-influenced isolation on SIS epidemic persistence on finite random graphs
Shirshendu Chatterjee, David Sivakoff, Matthew Wascher
The contact process, or the SIS epidemic model, is a continuous-time Markov process used to model the spread of a recurring infection on a graph. Each vertex is either healthy or i…