3 papers
math.PR2026
Entrance measures and dynamics for time-inhomogeneous McKean-Vlasov stochastic differential equations
Chunrong Feng, Baoyou Qu, Huaizhong Zhao
In this paper, we study the entrance measures of time-inhomogeneous McKean-Vlasov SDEs. The existence is obtained in great generality, where the system can be expanding globally an…
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
Global Dynamics of Granular Media Equations via Stochastic Order
Baoyou Qu, Jinxiang Yao, Yanpeng Zhi
This paper studies the rich dynamics of one-dimensional granular media equations with attractive quadratic interactions. Building on the monotone dynamical systems framework develo…