25 citations · 225 across the 54 of their papers we have counts for
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Matrix-Ball Construction of affine Robinson-Schensted correspondence
Michael Chmutov, Pavlo Pylyavskyy, Elena Yudovina
In his study of Kazhdan-Lusztig cells in affine type , Shi has introduced an affine analog of Robinson-Schensted correspondence. We generalize the Matrix-Ball Construction of Vi…
Zamolodchikov integrability via rings of invariants
Pavlo Pylyavskyy
Zamolodchikov periodicity is periodicity of certein recursions associated with box products of two finite type Dynkin diagrams. We suggest an affine analog of Zamolod…
Toric networks, geometric -matrices and generalized discrete Toda lattices
Rei Inoue, Thomas Lam, Pavlo Pylyavskyy
We use the combinatorics of toric networks and the double affine geometric -matrix to define a three-parameter family of generalizations of the discrete Toda lattice. We constru…
Y-meshes and generalized pentagram maps
Max Glick, Pavlo Pylyavskyy
We introduce a rich family of generalizations of the pentagram map sharing the property that each generates an infinite configuration of points and lines with four points on each l…