Rongjuan Fang
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Rongjuan Fang has a total of 7 co-authors. Here are the top co-authors by number of shared publications:
- Jian Wang
College of Materials Science and Engineering Taiyuan University of Technology Taiyuan Shanxi P.R. China
2 shared publications - Shukai Chen
School of Mathematics and Statistics Fujian Normal University Fuzhou China
2 shared publications - Jianhai Bao
Center for Applied Mathematics Tianjin University 300072 Tianjin P.R. China
1 shared publication - Jiawei Liu
School of Mathematics and Statistics, Jiangxi Normal University, Nanchang, China
1 shared publication - Lina Ji
Shenzhen MSU-BIT University
1 shared publication - Xiangqi Zheng
School of Mathematics, East China University of Science and Technology, Shanghai, People’s Republic of China
1 shared publication
Latest Publications
- Open Access
Exponential Ergodicity of CBIRE-Processes with Competition and Catastrophes
We establish the exponential ergodic property in a weighted total variation distance of continuous-state branching processes with immigration in random environments with competition and catastrophes, under a Lyapunov-type condition and other mild assumptions. The proof is based on a Markov coupling process along with some delicate estimates for the associated coupling generator. In particular, the main result indicates whether and how the competition mechanism, the environment and the catastrophe could balance the branching mechanism respectively to guarantee the exponential ergodicity of the process.
Open AccessExponential Ergodicity of CBIRE-Processes with Competition and Catastrophes
We establish the exponential ergodic property in a weighted total variation distance of continuous-state branching processes with immigration in random environments with competition and catastrophes, under a Lyapunov-type condition and other mild assumptions. The proof is based on a Markov coupling process along with some delicate estimates for the associated coupling generator. In particular, the main result indicates whether and how the competition mechanism, the environment and the catastrophe could balance the branching mechanism respectively to guarantee the exponential ergodicity of the process.
- Open Access
Exponential ergodicity of Lévy driven Langevin dynamics with singular potentials
In this paper, we address exponential ergodicity for L\'{e}vy driven Langevin dynamics with singular potentials, which can be used to model the time evolution of a molecular system consisting of $N$ particles moving in $\R^d$ and subject to discontinuous stochastic forces. In particular, our results are applicable to the singular setups concerned with not only the Lennard-Jones-like interaction potentials but also the Coulomb potentials. In addition to Harris' theorem, the approach is based on novel constructions of proper Lyapunov functions (which are completely different from the setting for Langevin dynamics driven by Brownian motions), on invoking the H\"{o}rmander theorem for non-local operators and on solving the issue on an approximate controllability of the associated deterministic system as well as on exploiting the time-change idea.Open AccessExponential ergodicity of Lévy driven Langevin dynamics with singular potentials
In this paper, we address exponential ergodicity for L\'{e}vy driven Langevin dynamics with singular potentials, which can be used to model the time evolution of a molecular system consisting of $N$ particles moving in $\R^d$ and subject to discontinuous stochastic forces. In particular, our results are applicable to the singular setups concerned with not only the Lennard-Jones-like interaction potentials but also the Coulomb potentials. In addition to Harris' theorem, the approach is based on novel constructions of proper Lyapunov functions (which are completely different from the setting for Langevin dynamics driven by Brownian motions), on invoking the H\"{o}rmander theorem for non-local operators and on solving the issue on an approximate controllability of the associated deterministic system as well as on exploiting the time-change idea. - 19 December 2022
- Published by Springer Nature in Journal of Theoretical Probability
- Vol. 36 (3) , 1572-1590
Wasserstein-Type Distances of Two-Type Continuous-State Branching Processes in Lévy Random Environments
- 19 December 2022
- Published by Springer Nature in Journal of Theoretical Probability
- Vol. 36 (3) , 1572-1590
Wasserstein-Type Distances of Two-Type Continuous-State Branching Processes in Lévy Random Environments
- 1 March 2022
- Published by Pleiades Publishing Ltd in Proceedings of the Steklov Institute of Mathematics
- Vol. 316 (1) , 137-159
A Scaling Limit Theorem for Galton–Watson Processes in Varying Environments
We prove a scaling limit theorem for discrete Galton–Watson processes in varying environments. A simple sufficient condition for the weak convergence in the Skorokhod space is given in terms of probability generating functions. The limit theorem gives rise to the continuous-state branching processes in varying environments studied recently by several authors.
- 1 March 2022
- Published by Pleiades Publishing Ltd in Proceedings of the Steklov Institute of Mathematics
- Vol. 316 (1) , 137-159
A Scaling Limit Theorem for Galton–Watson Processes in Varying Environments
We prove a scaling limit theorem for discrete Galton–Watson processes in varying environments. A simple sufficient condition for the weak convergence in the Skorokhod space is given in terms of probability generating functions. The limit theorem gives rise to the continuous-state branching processes in varying environments studied recently by several authors.