61 citations · 89 across the 22 of their papers we have counts for
Showing 1999 · math.COShow all
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math.CO1999
New Examples of Potential Theory on Bratelli Diagrams
Jason Fulman
We consider potential theory on Bratteli diagrams arising from Macdonald polynomials. The case of Hall-Littlewood polynomials is particularly interesting; the elements of the diagr…
math.CO1999
Affine shuffles, shuffles with cuts, the Whitehouse module, and patience sorting
Jason Fulman
Type A affine shuffles are compared with riffle shuffles followed by a cut. Although these probability measures on the symmetric group S_n are different, they both satisfy a convol…
math.CO1999
The eigenvalue spacing of a random unipotent matrix in its action on lines
Jason Fulman
The eigenvalue spacing of a uniformly chosen random finite unipotent matrix in its permutation action on lines is studied. We obtain bounds for the mean number of eigenvalues lying…