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math.PR2026
Scaling Laws for Majority-based Opinion Dynamics in the Presence of Stubborn Agents
Luke Meredith, Arpan Mukhopadhyay
In a multi-agent system, there are often stubborn followers of specific opinions or beliefs. Motivated by this observation, in this paper, we aim to understand how stubborn agents…
math.PR2026
Load Balancing with Individually Heterogeneous Servers
Burak Büke, Arpan Mukhopadhyay, Özge Tekin
In this paper, we analyze the diffusion limit of Join-the-Shortest-Queue (JSQ) load balancing policies for a system with many parallel queues where each queue is being served by a…
math.PR2026
Robustness of the 2-Choices Dynamics to Node Failures
Luke Meredith, Arpan Mukhopadhyay
In many applications, it becomes necessary for a set of distributed network nodes to agree on a common value or opinion as quickly as possible and with minimal communication overhe…