Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, April 01, 2025, 12:15 pm

Duration: 30 minutes

Location: OAT S15

Speaker: Sebastian Haslebacher

Two Applications of l_p-Contraction

Simple Stochastic Games (SSG) and ARRIVAL are two problems that are both known to lie in NP and CoNP, but for which we do not know of any polynomial-time algorithms. In this talk, I will explain how both problems reduce to finding an approximate fixpoint of an l_p-contraction map. In the case of SSG, this result is due to Condon and the resulting map is contracting with respect to the l_\infty-metric. The reduction for ARRIVAL is new and yields a contraction map with respect to the l_1-metric. With this talk I hope to motivate the study of l_p-contractions in general, a problem that Simon will tell you more about on Thursday.

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