3 papers
math.MG2026
Preimage Regions of Symmetric Separable Maps on the Simplex: Convexity and Barycentric Star-Shapedness
Jilong Xu, Xiaojun Cui
We study preimage regions on the open probability simplex associated with symmetric separable functionally generated maps. The problem is a finite-dimensional geometric question ab…
math.OC2026
The Geometry of Admissible Short Selling in Discrete-Time Stochastic Portfolio Theory
Jilong Xu, Xiaojun Cui
While discrete-time Stochastic Portfolio Theory (SPT) provides a robust framework for market analysis, existing work on functional generation has predominantly focused on long-only…
math.AP2025
Metric viscosity solutions and distance-like functions on the Wasserstein space
Huajian Jiang, Xiaojun Cui
Viscosity solutions to the eikonal equation |Du|g = 1, known to be exactly distance-like functions, on a non-compact complete Riemannian manifold (M,g) are crucial for understandin…