2 papers
cs.LG2026
A Doeblin-Anchored Contrastive Chart for Learning Markov Transition Kernels
Ao Xu
Learning a Markov transition model is not merely conditional density estimation: the learned object must be a valid transition kernel before it is iterated in downstream dynamics.…
math.DS2026
Observing Joinings: A Distance-Array Characterization of Furstenberg Disjointness
Ao Xu
Joinings are fundamental global objects in ergodic theory, yet in compact metric models one naturally observes only finite orbit-distance patterns. We bridge this gap by introducin…