12 citations · 26 across the 16 of their papers we have counts for
16 papers
Askey--Wilson polynomials with ASEP parameters
Younggwang Cho, Donghyun Kim, Jang Soo Kim
Koornwinder moments generalize the Askey--Wilson moments arising in the asymmetric simple exclusion process. Rains conjectured that, under the specialization , the minimal num…
An explicit formula for Koornwinder moments and Rains' positivity conjecture
Younggwang Cho, Donghyun Kim, Jang Soo Kim +3
The asymmetric simple exclusion process (ASEP) is an important particle model with deep connections to orthogonal polynomials. Motivated by this connection, Corteel and Williams in…
Shuffle formula in science fiction for Macdonald polynomials
Donghyun Kim, Seung Jin Lee, Jaeseong Oh
We initiate the study of the Macdonald intersection polynomials , which are indexed by -tuples of partitions $μ^{(1)},\dots,μ^{(…
Toward Butler's conjecture
Donghyun Kim, Seung Jin Lee, Jaeseong Oh
For a partition , let be two distinct partitions such that . Butler conjectured that the divided difference $\operatorname{I}_{λ,μ}[X;q,t]=(T_λ\w…
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…
Negative moments of orthogonal polynomials
Jihyeug Jang, Donghyun Kim, Jang Soo Kim +2
If a sequence indexed by nonnegative integers satisfies a linear recurrence without constant terms, one can extend the indices of the sequence to negative integers using the recurr…
Schubert polynomials, the inhomogeneous TASEP, and evil-avoiding permutations
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…
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…
A New Analytic Galactic Luminosity Profile Function
Daniel Katz, Donghyun Kim, Matthew Lenthall +3
In 2010 Spergel introduced an alternative to the traditional Sersic form for galactic luminosity profiles based on modified Bessel functions of the second kind. His motivation was…
A note on decay rates of solutions to a system of cubic nonlinear Schrödinger equations in one space dimension
Donghyun Kim
We consider the initial value problem for a system of cubic nonlinear Schrödinger equations with different masses in one space dimension. Under a suitable structural condition on t…
Global existence of small amplitude solutions to one-dimensional nonlinear Klein-Gordon systems with different masses
Donghyun Kim
We study the Cauchy problem for systems of cubic nonlinear Klein-Gordon equations with different masses in one space dimension. Under a suitable structural condition on the nonline…
A note on a system of cubic nonlinear Klein-Gordon equations in one space dimension
Donghyun Kim
We study the Cauchy problem for a system of cubic nonlinear Klein-Gordon equations in one space dimension. Under a suitable structural condition on the nonlinearity, we will show t…
Remarks on decay of small solutions to systems of Klein-Gordon equations with dissipative nonlinearities
Donghyun Kim, Hideaki Sunagawa
We consider the Cauchy problem for systems of cubic nonlinear Klein-Gordon equations in one space dimension. Under a suitable structural condition on the nonlinearity, we will show…
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…