3 citations · 3 across the 3 of their papers we have counts for
5 papers
Techniques in equivariant Ehrhart theory
Sophia Elia, Donghyun Kim, Mariel Supina
Equivariant Ehrhart theory generalizes the study of lattice point enumeration to also account for the symmetries of a polytope under a linear group action. We present a catalogue o…
Schubert polynomials and the inhomogeneous TASEP on a ring
Donghyun Kim, Lauren Williams
Consider a lattice of n sites arranged around a ring, with the sites occupied by particles of weights ; the possible arrangements of particles in sites thus co…
Combinatorial formulas for the coefficients of the Al-Salam-Chihara polynomials
Donghyun Kim
The Al-Salam-Chihara polynomials are an important family of orthogonal polynomials in one variable depending on 3 parameters , and . They are closely connected to a m…
A combinatorial formula for the Ehrhart -vector of the hypersimplex
Donghyun Kim
We give a combinatorial formula for the Ehrhart -vector of the hypersimplex. In particular, we show that is the number of hypersimplicial decorated ordere…
Black Brane World from Gravitating Half -lump
Donghyun Kim, Yoonbai Kim, JungJai Lee
We study O() nonlinear -model in -dimensional curved spacetime with negative cosmological constant, and find a new -lump solution with half-integer winding and…