4 papers
Action integrals for quantum BTZ black holes
Yuanfan Cao, Andrew Svesko
Black holes exactly incorporating quantum matter backreaction effects, namely, quantum black holes, are notoriously difficult to construct, let alone study their horizon thermodyna…
Varadhan Functions, Variances, and Means on Compact Riemannian Manifolds
Yueqi Cao
Motivated by Varadhan's theorem, we introduce Varadhan functions, variances, and means on compact Riemannian manifolds as smooth approximations to their Fréchet counterparts. Given…
Equilibrium Portfolio Selection under Utility-Variance Analysis of Log Returns in Incomplete Markets
Yue Cao, Zongxia Liang, Sheng Wang +1
This paper investigates a time-inconsistent portfolio selection problem in the incomplete mar ket model, integrating expected utility maximization with risk control. The objective…
Quantum Neural Ordinary and Partial Differential Equations
Yu Cao, Shi Jin, Nana Liu
We introduce a unified framework -- Quantum Neural Ordinary and Partial Differential Equations (QNODEs and QNPDEs) -- which extends the continuous-time formalism of classical neura…