cctv5篮球公园新人权益 - cctv5篮球公园
Log-Concavity and -Convexity via Distributive Lattices
Time: 2026-05-12
Published By: Wenqiong Li
Speaker(s): Jinting Liang (University of British Columbia) 对照阅读
Time: 13:00-14:00 May 26, 2026 继续了解
Venue: Room 9, Quan Zhai, BICMR 延伸阅读
Abstract: We prove a lemma called the Order Ideal Lemma, as a corollary of the FKG inequality. It can be used to combinatorially prove log-concavity and log-convexity results for various sequences including binomial coefficients, Catalan numbers, Fibonacci numbers, Stirling numbers of the second kind, order polynomials, and more. In the process we define some new and interesting distributive lattices. This is joint work with Bruce Sagan.
