3 papers
math.PR2024
Ergodicity and Mixing of Sublinear Expectation System and Applications
Wen Huang, Chunlin Liu, Shige Peng +1
We utilize an ergodic theory framework to explore sublinear expectation theory. Specifically, we investigate the pointwise Birkhoff's ergodic theorem for invariant sublinear expect…
math.PR2024
Finite ergodic components for upper probabilities
Chunrong Feng, Wen Huang, Chunlin Liu +1
Under the notion of ergodicity of upper probability in the sense of Feng and Zhao (2021) that any invariant set either has capacity or its complement has capacity 0, we introdu…
math.NA2023
An operator-splitting optimization approach for phase-field simulation of equilibrium shapes of crystals
Zeyu Zhou, Wen Huang, Wei Jiang +1
Computing equilibrium shapes of crystals (ESC) is a challenging problem in materials science that involves minimizing an orientation-dependent (i.e., anisotropic) surface energy fu…