Preprint
Oct 2026
Dynamics of the Liquidity Profile in Concentrated Liquidity Provision: An SPIDE Approach
We model the dynamics of the liquidity profile in Uniswap~V3 and other concentrated-liquidity automated market makers with a stochastic partial integro-differential equation (SPIDE). The profile, the aggregate of all provider positions across tick space, evolves under a degenerate Sturm--Liouville operator, which encod...
Cheuk-Yin Lee, J. Risk, Shen-Ning Tung et al.
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