English

Concentrated N-dimensional AMM with Polar Coordinates in Rust

Trading and Market Microstructure 2025-10-08 v1

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.

Cite

@article{arxiv.2510.05428,
  title  = {Concentrated N-dimensional AMM with Polar Coordinates in Rust},
  author = {Vasily Tolstikov and Marcus Wentz and Joseph Schiarizzi and Derek Ding},
  journal= {arXiv preprint arXiv:2510.05428},
  year   = {2025}
}

Comments

10 pages, 7 figures

R2 v1 2026-07-01T06:20:16.981Z