7 citations · 13 across the 6 of their papers we have counts for
10 papers
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…
On parking functions and the zeta map in types B,C and D
Robin Sulzgruber, Marko Thiel
Let be an irreducible crystallographic root system with Weyl group , coroot lattice and Coxeter number . Recently the second named author defined a uniform $W…
A new cyclic sieving phenomenon for Catalan objects
Marko Thiel
Based on computational experiments, Jim Propp and Vic Reiner suspected that there might exist a sequence of combinatorial objects , each carrying a natural action of the cycli…
The number of roots of full support
Marko Thiel
Chapoton has observed a simple product formula for the number of reflections in a finite Coxeter group that have full support. We give a uniform proof of his formula for Weyl group…
Strange Expectations
Marko Thiel, Nathan Williams
Let gcd(a,b)=1. J. Olsson and D. Stanton proved that the maximum number of boxes in a simultaneous (a,b)-core is (a^2-1)(b^2-1)/24, and that this maximum was achieved by a unique c…
From Anderson to Zeta
Marko Thiel
For an irreducible crystallographic root system and a positive integer relatively prime to the Coxeter number of , we give a natural bijection from the…