91 citations · 498 across the 34 of their papers we have counts for
35 papers
The existence of invariant sublinear expectations for -SDEs
Danyang Zhao, Huaizhong Zhao
In this paper, we study the existence of invariant sublinear expectations of Markovian semigroups on sublinear expectation spaces. To achieve this, we establish a complete metric s…
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…
Invariant and periodic measures in classical spin systems on infinite lattices with highly degenerate noise
Tong Lu, Huaizhong Zhao
In this paper, we consider the classical spin systems on unbounded lattices given by infinite-dimensional stochastic differential equations (SDEs). We assume that the stochastic fo…
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…
Ergodicity and Mixing of invariant capacities and applications
Chunrong Feng, Wen Huang, Chunlin Liu +1
We introduce the notion of common conditional expectation to investigate Birkhoff's ergodic theorem and subadditive ergodic theorem for invariant upper probabilities. If in additio…
Large deviations principle for invariant measures of stochastic Burgers equations
Rui Bai, Chunrong Feng, Huaizhong Zhao
We study the small noise asymptotic for stochastic Burgers equations on with Dirichlet boundary condition. We consider the case that the noise is more singular than space-t…