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Kac's Walk Pseudo-Mixing Explored in New Math Paper

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This research paper investigates the pseudo-mixing of Kac's walk on the special orthogonal group SO(n). The study aims to determine if short trajectories of this walk become indistinguishable from the Haar measure when subjected to low-complexity tests. The paper proves that the first k columns mix in Wasserstein distance within a specific number of steps, resolving a conjecture by Oliveira. This finding has applications in demonstrating the effectiveness of a fast Johnson-Lindenstrauss transform. AI

RANK_REASON The item is an academic paper published on arXiv. [lever_c_demoted from research: ic=1 ai=0.1]

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Kac's Walk Pseudo-Mixing Explored in New Math Paper

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The item is an academic paper published on arXiv. [lever_c_demoted from research: ic=1 ai=0.1]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Natesh S. Pillai, Aaron Smith, Vinod Vaikuntanathan ·

    On the Pseudo-Mixing of Kac's Walk

    arXiv:2608.17374v1 Announce Type: cross Abstract: Motivated by a conjecture of Vaikuntanathan and Zamir, we study the pseudo-mixing of Kac's walk on $\mathrm{SO}(n)$: whether short trajectories are indistinguishable from Haar measure by low-complexity tests. We prove that the fir…

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