Ultraproducts of measure preserving actions and graph combinatorics

Ultraproducts of measure preserving actions and graph combinatorics
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测度保持动作和图组合的超乘积

DOI:
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发表时间:
2012
影响因子:
0.9
通讯作者:
Robin D. Tucker
Robin D. Tucker
中科院分区:
数学2区
文献类型:
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作者:
Clinton T. Conley;A. Kechris;Robin D. Tucker

文献摘要

被引文献

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摘要 可数群的测度保持动作的超乘积用于研究与此类动作相关的图组合学,包括色度、独立性和匹配数。凯莱图的随机着色理论以及 sofic 作用和等价关系也得到了应用。
Abstract Ultraproducts of measure preserving actions of countable groups are used to study the graph combinatorics associated with such actions, including chromatic, independence and matching numbers. Applications are also given to the theory of random colorings of Cayley graphs and sofic actions and equivalence relations.