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The higher $q,t$-Catalan polynomial $C^{(m)}_n(q,t)$ can be defined combinatorially as a weighted sum of lattice paths contained in certain triangles, or algebraically as a complicated sum of… (More)

- Kyungyong Lee, Ns Oh
- 2005

Precipitation is the most important component and critical to the study of water and energy cycle. In this study we investigated the propagation of precipitation retrieval uncertainty in the… (More)

We propose a combinatorial/geometric model and formulate several conjectures to describe the c-matrices of an arbitrary skew-symmetrizable matrix. In particular, we introduce real L\"osungen as an… (More)

- Kyungyong Lee, Li Li
- 2011

- Li Li, Kyungyong Lee
- 2010

Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver,… (More)

We propose a conjectural correspondence between the set of rigid indecomposable modules over the path algebras of acyclic quivers and the set of certain non-self-intersecting curves on Riemann… (More)