2 papers
math.DS2024
Birkhoff sum convergence of Fréchet observables to stable laws for Gibbs-Markov systems and applications
An Chen, Matthew Nicol, Andrew Török
We use a Poisson point process approach to prove distributional convergence to a stable law for non square-integrable observables , mostly of the form $ϕ(x) = d(x,x_…
math.PR2020
Sturm-Liouville Theory and Decay Parameter for Quadratic Markov Branching Processes
Anyue Chen, Yong Chen, Wujun Gao +1
For a quadratic Markov branching process (QMBP), we show that the decay parameter is equal to the first eigenvalue of a Sturm-Liouville operator associated with the PDE that the ge…