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曾江—— Eulerian polynomials and excedance statistics
发布人:许全华  发布时间:2019-08-09   浏览次数:10

题目Eulerian polynomials and excedance statistics


报告人:曾  (法国里昂大学)


时间:8月17日,10:30-11:30


地点:明德楼B区201学术报告厅


摘要A formula of Stembridge states that the permutation peak polynomials and descent  polynomials are connected  via a quadratique transformation. Rephrasing  the latter  formula  with permutation cycle peaks and excedances  we are able to prove a series of general formulas expressing polynomials counting permutations by various excedance statistics in terms of refined Eulerian polynomials. Our methods include permutation enumeration techniques  involving variations of classical bijections from permutations to Laguerre histories, explicit continued fraction expansions of combinatorial generating functions. This talk is based on joint work with Bin HAN and Jianxi MAO.