Liquidity Concentration

Concentrated N-dimensional AMM with Polar Coordinates in Rust ArXiv ID: 2510.05428 “View on arXiv” Authors: Vasily Tolstikov, Marcus Wentz, Joseph Schiarizzi, Derek Ding Abstract We expand on the recent development of n-dimensional automated market makers for stablecoins by showing a way to build concentrated liquidity positions with ticks in polar coordinates in Rust, including the featured ability to skew said concentrated liquidity. We highlight the risk of stacking too many stablecoin pools and how to hedge said risk. ...

Concentrated Superelliptical Market Maker ArXiv ID: 2410.13265 “View on arXiv” Authors: Unknown Abstract An automated market maker where the price can cross the zero bound into the negative price domain with applications in electricity, energy, and derivatives markets is presented. A unique feature involves the ability to swap both negatively and positively priced assets between one another, which unlike traditional markets requires a numeraire in the form of a currency. Model extensions to skew and concentrate liquidity are shown. The liquidity fingerprint, payoff, and invariant are compared to the Black-Scholes covered call and the Logarithmic Market Scoring Rule invariants. ...