2014/10/24 by Petter Brändén, Brändén, Petter
Chemistry · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #History and Theory of Mathematics #History and advancements in chemistry #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.1410.6601
openalex publication_date 2014/10/24 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
This is a survey on recent developments on unimodality, log-concavity and real-rootedness in combinatorics. Stanley and Brenti have written extensive surveys of various techniques that can be used to prove real-rootedness, log-concavity or unimodality. After a brief introduction, we will complement these surveys with a survey over some new techniques that have been developed, as well as problems and conjectures that have been solved. This is a draft of a chapter to appear in Handbook of Enumerative Combinatorics, published by CRC Press.