Nathan Williams

activity

20112026

W

-Eulerian polynomials

17 citations · 78 across the 24 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.CO2018

Strange Expectations and the Winnie-the-Pooh Problem

Marko Thiel, Nathan Williams

Motivated by the study of simultaneous cores, we give three proofs (in varying levels of generality) for the expected norm of a weight in a highest weight representation of a compl…

math.CO2018

Independence Posets

Hugh Thomas, Nathan Williams

Let $G$ be an acylic directed graph. For each vertex $g \in G$ , we define an involution on the independent sets of $G$ . We call these involutions flips, and use them to define a ne…

math.CO2018★ 4 cited

Tamari Lattices for Parabolic Quotients of the Symmetric Group

Henri Mühle, Nathan Williams

We generalize the Tamari lattice by extending the notions of $231$ -avoiding permutations, noncrossing set partitions, and nonnesting set partitions to parabolic quotients of the sy…