New Math Framework for Scaling Payment Networks
Автор: AI Research Roundup
Загружено: 2026-01-09
Просмотров: 3
Описание: In this AI Research Roundup episode, Alex discusses the paper: 'A Mathematical Theory of Payment Channel Networks(2601.04835v1)' This research introduces a geometric framework using polytopes to analyze the scalability and reliability of off-chain payment systems like the Lightning Network. The author establishes a fundamental throughput law relating on-chain settlement bandwidth to the fraction of infeasible payments. By modeling liquidity states and wealth distributions through graph theory and linear programming, the paper identifies structural limitations in traditional two-party channels. Crucially, the study proves that multi-party channels, such as coinpools, significantly increase accessible wealth and system efficiency. These findings provide a rigorous mathematical basis for designing more robust and scalable decentralized financial networks. Paper URL: https://arxiv.org/pdf/2601.04835 #AI #MachineLearning #DeepLearning #LightningNetwork #Blockchain #PaymentChannels #GraphTheory
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