2 papers
math.DS2026
On Aubry's completeness conjecture
Tianqi Shi, Jinxin Xue
In this paper, we prove Aubry's completeness stating conjecture that for a twist map the graph of rotation numbers as a function of the cohomology classes is a purely singularly co…
math.AP2025
Singularities and their propagation in optimal transport
Piermarco Cannarsa, Wei Cheng, Tianqi Shi +1
In this paper, we investigate the singularities of potential energy functionals \(Ï(\cdot)\) associated with semiconcave functions \(Ï\) in the Borel probability measure space an…