61 citations · 244 across the 74 of their papers we have counts for
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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…
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…
Cellini's descent algebra and semisimple conjugacy classes of finite groups of Lie type
Jason Fulman
By algebraic group theory, there is a map from the semisimple conjugacy classes of a finite group of Lie type to the conjugacy classes of the Weyl group. Picking a semisimple class…
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…
Semisimple orbits of Lie algebras and card shuffling on Coxeter groups
Jason Fulman
Random walk on the chambers of hyperplanes arrangements is used to define a family of card shuffling measures for a finite Coxeter group W and real . By algebra…