4 citations · 14 across the 18 of their papers we have counts for
18 papers
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…
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…
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…
Viscosity solutions to a Cauchy type problem for timelike Lorentzian eikonal equation
Siyao Zhu, Xiaojun Cui, Tianqi Shi
In this paper, we propose a Cauchy type problem to the timelike Lorentzian eikonal equation on a globally hyperbolic space-time. For this equation, as the value of the solution on…
Design and analysis of computer experiments with both numeral and distribution inputs
Chunya Li, Xiaojun Cui, Shifeng Xiong
Nowadays stochastic computer simulations with both numeral and distribution inputs are widely used to mimic complex systems which contain a great deal of uncertainty. This paper st…
Multitransition solutions for a generalized Frenkel-Kontorova model
Wen-Long Li, Xiaojun Cui
We study a generalized Frenkel-Kontorova model. Using minimal and Birkhoff solutions as building blocks, we construct a lot of homoclinic solutions and heteroclinic solutions for t…