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math.PR2026
Hypocoercivity for Hamiltonian Diffusions with Singular Drift
Zhen-Qing Chen, Martin Grothaus, Onno Pfohl
We establish -exponential strong ergodicity (strong mixing) with an explicit rate of convergence for a class of degenerate diffusions with multiplicative noise and with singul…
math.PR2025
Functional Limits of Generalized Jackson Networks in Multi-scale Heavy Traffic
Zhen-Qing Chen, J. G. Dai, Jin Guang
We investigate the functional limits of generalized Jackson networks in a multi-scale heavy traffic regime where stations approach full utilization at distinct, separated rates. Ou…
math.PR2024
Harnack inequality for weakly coupled nonlocal systems
Zhen-Qing Chen, Xiangqian Meng
In this paper, we consider a weakly coupled system of nonlocal operators which contain both diffusion part with uniformly elliptic diffusion matrices and bounded drift vectors and…