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Bibliographic Details
Main Author: Qin, Shuo
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2311.13480
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Table of Contents:
  • For the interacting urn model with polynomial reinforcement, it has been conjectured that almost surely one color monopolizes all the urns if the interaction parameter $p>0$. We disprove the conjecture. For the case $p=1$, we give a sufficient condition for monopoly, which improves a previous result obtained by Launay.