2 papers
math.OC2026
Existence of Quantum Splines via Fourth-Order Gradient Flows
Chun-Chi Lin, Yang-Kai Lue, Dung The Tran
We establish a rigorous existence theory for the quantum splines introduced by Brody, Holm, and Meier in Physical Review Letters (2012). These curves arise as solutions of a variat…
math.CO2025
A functional Loomis-Whitney type inequality in the Heisenberg group and projection theorems over finite fields
Daewoong Cheong, Thang Pham, Dung The Tran
We establish functional Loomis--Whitney type inequalities in the finite Heisenberg group . For , we determine the sharp region of exponents $(u_1,u…