远地点 发表于 2025-3-30 10:40:18
http://reply.papertrans.cn/39/3835/383474/383474_51.pngevince 发表于 2025-3-30 13:09:08
On Repeated Sequential Closures of Constructible Functions in Valuations,that the sequential closure, taken sufficiently many (in fact, infinitely many) times, of the former space is equal to the latter one. This stronger property is necessary for some applications in Alesker (Geom Funct Anal 20(5):1073–1143, 2010).refraction 发表于 2025-3-30 16:40:20
,-Valent Functions,.. These functions, which we call (., .)-valent functions, provide a natural generalization of .-valent functions (see Hayman, Multivalent Functions, 2nd ed, Cambridge Tracts in Mathematics, vol 110, 1994). We provide a rather accurate characterizing of (., .)-valent functions in terms of their Taylexpire 发表于 2025-3-31 00:07:47
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Super-Gaussian Directions of Random Vectors,. We show that there exists a fixed unit vector . such that the random variable . satisfies . where . > 0 is any median of | . | , i.e., .. Here, . are universal constants. The dependence on the dimension . is optimal, up to universal constants, improving upon our previous work.Conflagration 发表于 2025-3-31 10:28:35
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Book 2017 also well represented, and related algebraic structures pertaining to valuations and valent functions are discussed. All contributions are original research papers and were subject to the usual refereeing standards.