4 papers
Stochastic Dynamics of Low Earth Orbit Near Full Capacity
Priyank Behera, Aditya S. Gopalan, Harsha Honnappa
The capacity of Low Earth Orbit (LEO) to sustain space operations is under mounting pressure from megaconstellations, legacy fragmentation debris, and new payload classes. Existing…
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…
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…
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…