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As cross-chain technology continues to advance, the scale of cross-chain transactions is experiencing significant expansion. To improve scalability, researchers have turned to the study of cross-chain state channels. However, most of the…

网络与互联网体系结构 · 计算机科学 2024-04-16 Xinyu Liang , Ruiying Du , Jing Chen , Yu Zhang , Meng Jia , Shuangxi Cao , Yufeng Wei , Shixiong Yao

One of the exciting recent developments in decentralized finance (DeFi) has been the development of decentralized cryptocurrency exchanges that can autonomously handle conversion between different cryptocurrencies. Decentralized exchange…

交易与市场微观结构 · 定量金融 2021-01-11 Bhaskar Krishnamachari , Qi Feng , Eugenio Grippo

The $i$swap gate is an entangling swapping gate where the qubits obtain a phase of $i$ if the state of the qubits is swapped. Here we present a simple implementation of the controlled-$i$swap gate. The gate can be implemented with several…

量子物理 · 物理学 2020-07-21 S. E. Rasmussen , N. T. Zinner

The paper introduces a new type of constant function market maker, the constant power root market marker. We show that the constant sum (used by mStable), constant product (used by Uniswap and Balancer), constant reserve (HOLD-ing), and…

计算工程、金融与科学 · 计算机科学 2022-05-17 Mike Wu , Will McTighe

In this paper, we show that any monotonic payoff can be replicated using only liquidity provider shares in constant function market makers (CFMMs), without the need for additional collateral or oracles. Such payoffs include cash-or-nothing…

交易与市场微观结构 · 定量金融 2021-11-30 Guillermo Angeris , Alex Evans , Tarun Chitra

Inspired by Bitcoin, many different kinds of cryptocurrencies based on blockchain technology have turned up on the market. Due to the special structure of the blockchain, it has been deemed impossible to directly trade between traditional…

密码学与安全 · 计算机科学 2020-05-08 Hangyu Tian , Kaiping Xue , Shaohua Li , Jie Xu , Jianqing Liu , Jun Zhao

Automated Market Makers (AMMs) are a central component of decentralized exchanges, yet their equilibrium foundations and microeconomic mechanisms remain incompletely understood. This paper develops a dynamic equilibrium framework for…

综合经济学 · 经济学 2026-03-10 Chengqi Zang , Zhenghui Wang , Weitong Zhang

Automated market makers (AMMs) have emerged as the dominant market mechanism for trading on decentralized exchanges implemented on blockchains. This paper presents a single mechanism that targets two important unsolved problems for AMMs:…

交易与市场微观结构 · 定量金融 2025-02-13 Austin Adams , Ciamac C. Moallemi , Sara Reynolds , Dan Robinson

The blockchain space is changing constantly. New chains are being implemented frequently with different use cases in mind. As more and more types of crypto assets are getting real world value there is an increasing need for blockchain…

密码学与安全 · 计算机科学 2020-09-29 Omer Shlomovits , Oded Leiba

This work analytically characterizes impermanent loss for automated market makers (AMMs) in decentralized markets such as Uniswap or Balancer (CPMM). We derive a static replication formula for the pool's value using a combination of…

风险管理 · 定量金融 2025-03-31 Agustin Muñoz Gonzalez , Juan Ignacio Sequeira , Ariel Dembling

The ability of a peer-to-peer (P2P) system to effectively host decentralized applications often relies on the availability of a peer-sampling service, which provides each participant with a random sample of other peers. Despite the…

分布式、并行与集群计算 · 计算机科学 2025-07-08 Rachid Guerraoui , Anne-Marie Kermarrec , Anastasiia Kucherenko , Rafael Pinot , Martijn de Vos

We develop a new type of automated market maker (AMM) that helps to maintain stability and long-term viability in a stablecoin. This primary market AMM (P-AMM) is an autonomous mechanism for pricing minting and redemption of stablecoins in…

密码学与安全 · 计算机科学 2022-12-26 Ariah Klages-Mundt , Steffen Schuldenzucker

Automated market makers (AMMs) are a new type of trading venues which are revolutionising the way market participants interact. At present, the majority of AMMs are constant function market makers (CFMMs) where a deterministic trading…

交易与市场微观结构 · 定量金融 2024-07-25 Marcello Monga

Blockchains have popularized automated market makers (AMMs). An AMM exchange is an application running on a blockchain which maintains a pool of crypto-assets and automatically trades assets with users governed by some pricing function that…

计算机科学与博弈论 · 计算机科学 2025-09-16 T-H. Hubert Chan , Ke Wu , Elaine Shi

Automated market makers (AMMs) are one of the most prominent decentralized finance (DeFi) applications. AMMs allow users to trade different types of crypto-tokens, without the need to find a counter-party. There are several implementations…

形式语言与自动机理论 · 计算机科学 2023-06-22 Massimo Bartoletti , James Hsin-yu Chiang , Alberto Lluch-Lafuente

Consider a finite set of trade orders and automated market makers (AMMs) at some state. We propose a solution to the problem of finding an equilibrium price vector to execute all the orders jointly with corresponding optimal AMMs swaps. The…

数理金融 · 定量金融 2024-01-02 Sergio A. Yuhjtman

Automated Market Makers (AMMs) are emerging as a popular decentralised trading platform. In this work, we determine the optimal dynamic fees in a constant function market maker. We find approximate closed-form solutions to the control…

交易与市场微观结构 · 定量金融 2025-06-26 Leonardo Baggiani , Martin Herdegen , Leandro Sánchez-Betancourt

We present a new key exchange protocol based on circulant matrices acting on matrices over a congruence-simple semiring. We describe how to compute matrices with the necessary properties for the implementation of the protocol. Additionally,…

交换代数 · 数学 2025-05-14 Alvaro Otero Sanchez

Automated Market Makers (AMMs) are decentralized applications that allow users to exchange crypto-tokens without the need for a matching exchange order. AMMs are one of the most successful DeFi use cases: indeed, major AMM platforms process…

密码学与安全 · 计算机科学 2022-07-20 Massimo Bartoletti , James Hsin-yu Chiang , Alberto Lluch-Lafuente

Concentrated-liquidity automated market makers (CLAMMs), as exemplified by Uniswap v3, are now a common primitive in decentralized finance frameworks. Their design combines continuous trading on constant-function curves with discrete tick…

计算机科学中的逻辑 · 计算机科学 2025-12-09 Julius Tranquilli , Naman Gupta