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math.OC2026
Concave Continuation: Linking Routing to Arbitrage
Ruichao Jiang, Long Wen
We extend AMM trade functions to negative inputs via the \textit{concave continuation}, derived from the invariance of the local conservation law under allocation direction flips.…
math.OC2026
On the Convergence Rate of the One-Hop Transfer Algorithm
Ruichao Jiang, Long Wen
The transfer algorithm~\cite{jiang} solves the on-chain one-hop swap routing problem. In \cite{jiang}, the convergence is proved but the convergence rate is left open. We prove tha…