Speaker: Philippe Marchal 研究员，索邦-巴黎北大学 &法国国家科研中心
Inviter: 石权 副研究员
Title: On the Kaluza sign problem
Time & Venue: 2025.06.09 10:30-11:30 南楼N613
Abstract: A century-old result by Kaluza (1928) states that if a power series $f(x)1+\sum a_n x^n$ has has all its coefficients nonnegative, then its inverse $1/f(x)=1+\sum b_n x_n$ has all the $b_n$ nonpositive whenever the sequence $(a_n)$ is logconvex. We will discuss the probabilistic aspects of this result and some extensions.
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