3 papers
math.PR2026
Scaling Limit of a Stochastic Clustering Model on
Partha S. Dey, S. Rasoul Etesami, Aditya S. Gopalan
We consider an infinite-dimensional stochastic clustering model on . In discrete time, each point of a unit-intensity simple point process moves halfway toward either o…
cs.DC2025
The Time to Consensus in a Blockchain: Insights into Bitcoin's "6 Blocks Rule''
Partha S. Dey, Aditya S. Gopalan, Vijay G. Subramanian
We investigate the time to consensus in Nakamoto blockchains. Specifically, we consider two competing growth processes, labeled \emph{honest} and \emph{adversarial}, and determine…
physics.soc-ph2025
The 2R-Conjecture for the Hegselmann--Krause Model: A Proof in Expectation and New Directions
Partha S. Dey, S. Rasoul Etesami, Aditya S. Gopalan
Hegselmann--Krause models are localized, distributed averaging dynamics on spatial data. A key aspect of these dynamics is that they lead to cluster formation, which has important…