{"title":"DeFi's Concentrated Liquidity From Scratch","authors":"Mark B. Richardson, Stefan Loesch","doi":"arxiv-2407.02496","DOIUrl":null,"url":null,"abstract":"The scope of this article includes the three preeminent descriptions of\nconcentrated liquidity from Bancor (2020 and 2022), and Uniswap (2021), as well\nas three additional descriptions informed by trigonometric analysis of the\nsame. The purpose of this contribution is to organize the seminal and\nderivative forms of this cornerstone DeFi technology, and algebraically and\ngeometrically elaborate these descriptions to achieve an authoritative and\nnear-exhaustive overview of the underlying theory powering the current\nstate-of-the-art in decentralized exchange infrastructure. This material was created for the Token Engineering Academy Study Season\n2024, a cohort-based online program scheduled for April-July 2024. The Study\nSeason offers access to a bachelor-level online learning program, and\ncomplementary live tracks with the most influential practitioners and\nresearchers in the sector - all provided as free, public goods.","PeriodicalId":501084,"journal":{"name":"arXiv - QuantFin - Mathematical Finance","volume":"40 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - QuantFin - Mathematical Finance","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.02496","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The scope of this article includes the three preeminent descriptions of
concentrated liquidity from Bancor (2020 and 2022), and Uniswap (2021), as well
as three additional descriptions informed by trigonometric analysis of the
same. The purpose of this contribution is to organize the seminal and
derivative forms of this cornerstone DeFi technology, and algebraically and
geometrically elaborate these descriptions to achieve an authoritative and
near-exhaustive overview of the underlying theory powering the current
state-of-the-art in decentralized exchange infrastructure. This material was created for the Token Engineering Academy Study Season
2024, a cohort-based online program scheduled for April-July 2024. The Study
Season offers access to a bachelor-level online learning program, and
complementary live tracks with the most influential practitioners and
researchers in the sector - all provided as free, public goods.
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