8 papers
Rank recursion for -Whittaker and Macdonald operators
Philippe Di Francesco, Hieu Trung Vu
In this paper, we introduce and prove a set of rank recurrence relations for -Whittaker and Macdonald operators. We also derive an explicit expression for the -th power of th…
Perfect t-Embeddings of Uniformly Weighted Generalized Tower Graphs
David Keating, Hieu Trung Vu
In this paper, we study sequences of perfect t-embeddings of a uniformly weighted family of graphs we call generalized tower graphs. We show that the embeddings of these graphs sat…
Arctic curves of the T-system with Slanted Initial Data
Philippe Di Francesco, Hieu Trung Vu
We study the T-system of type , also known as the octahedron recurrence/equation, viewed as a 2+1-dimensional discrete evolution equation. Generalizing the study of [P. D…
Unboundedness of the images of set-valued mappings having closed graphs: Application to vector optimization
Vu Trung Hieu, Elisabeth Anna Sophia Köbis, Markus Arthur Köbis +1
In this paper, we propose criteria for unboundedness of the images of set-valued mappings having closed graphs in Euclidean spaces. We focus on mappings whose domains are non-close…
Computing local minimizers in polynomial optimization under genericity conditions
Vu Trung Hieu, Akiko Takeda
In this paper, we focus on computing local minimizers of a multivariate polynomial optimization problem under certain genericity conditions. By using a technique in computer algebr…
On the Nonemptiness and Boundedness of Solution Sets of Weakly Homogeneous Optimization Problems
Vu Trung Hieu
In this paper, we introduce a new class of optimization problems whose objective functions are weakly homogeneous relative to the constraint sets. By using the normalization argume…