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math.GT2023
A Proof of the Kashaev Signature Conjecture
Jessica Liu
In 2018 Kashaev introduced a diagrammatic link invariant conjectured to be twice the Levine-Tristram signature. If true, the conjecture would provide a simple way of computing the…
math.NT2023
Time-Averages along Partial Orbits for Dynamical Systems
Yunping Jiang, Jessica Liu
We investigate the convergence of time-averages of continuous functions along partial orbits for continuous dynamical systems on compact metric spaces. Unlike the classical focus o…