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math-ph2020
Stochastic limit-cycle oscillations of a nonlinear system under random perturbations
Yu-Chen Cheng, Hong Qian
Dynamical systems with small random perturbations appear in both continuous mechanical motions and discrete stochastic chemical kinetics. The present work provides a detailed a…
math-ph2019
Asymptotic Behavior of a Sequence of Conditional Probability Distributions and the Canonical Ensemble
Yu-Chen Cheng, Hong Qian, Yizhe Zhu
The probability distribution of a function of a subsystem conditioned on the value of the function of the whole, in the limit when the ratio of their values goes to zero, has a lim…