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科学研究
RESEARCH
Multivariate stable Eulerian polynomials on segmented permutations
时间  Datetime
2020-12-31 12:30 — 14:30
地点  Venue
腾讯会议 APP()
报告人  Speaker
张彪
单位  Affiliation
天津师范大学
邀请人  Host
马俊
备注  remarks
会议 ID:690 946 370 会议密码:314159
报告摘要  Abstract

Nunge studied Eulerian polynomials on segmented permutations, namely generalized Eulerian polynomials, and further asked whether their coefficients form unimodal sequences. In this paper, we prove the stability of the generalized Eulerian polynomials and hence confirm Nunge's conjecture. Our proof is based on Brändén’s stable multivariate Eulerian polynomials. By acting on Brändén's polynomials with a stability-preserving linear operator, we get a multivariate refinement of the generalized Eulerian polynomials. To prove Nunge's conjecture, we also develop a general approach to obtain generalized Sturm sequences from bivariate stable polynomials.