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English(EN) On detection probabilities of link invariants

新研究表明链不变量检测概率呈指数衰减

作者 PulseAugur 编辑部 · [1 个来源] ·

一篇新发表在arXiv上的研究论文详细介绍了素数交替链中链不变量检测概率的指数衰减。该研究由Daniel Tubbenhauer撰写，表明对于许多标准链不变量，包括Jones和HOMFLYPT多项式以及积分Khovanov同调，随着交叉点数量的增加，不同不变量值的比例和它们的检测概率呈指数下降。这种现象表明，大多数此类链属于一个不变量纤维，其大小也随着交叉点数量呈指数增长。 AI

排序理由 该集群包含一篇发表在arXiv上的学术论文，详细介绍了数学研究。[lever_c_demoted from research: ic=1 ai=0.1]

在 arXiv cs.LG 阅读 →

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新研究表明链不变量检测概率呈指数衰减

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该集群包含一篇发表在arXiv上的学术论文，详细介绍了数学研究。[lever_c_demoted from research: ic=1 ai=0.1]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Tuomas Kelom\"aki, Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz, Victor L. Zhang ·

    关于链接不变量的检测概率

    arXiv:2509.05574v3 Announce Type: replace-cross Abstract: We prove that, for many standard link invariants, both the proportion of distinct invariant values and the detection probability among prime alternating links with at most n crossings decay exponentially in n, with an expl…

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