2 papers
math.DS2025
Fast differentiation of hyperbolic chaos
Angxiu Ni
We derive and prove the `fast response' formula for the linear response, the parameter derivatives of long-time-averaged statistics, of hyperbolic deterministic chaotic systems. Th…
math.PR2025
Ergodic and foliated kernel-differentiation method for linear responses of random systems
Angxiu Ni
We extend the kernel-differentiation method for the linear response (parameter-derivative of averaged observables) of random dynamical systems. First, for the linear response of ph…