3 papers
stat.ML2026
Empirical Transfer Operators and Finite-Sample Change Detection for Noisy Expanding Interval Maps
Aparna Rajput
We study finite-sample change detection for one-dimensional noisy dynamical systems using partition-based empirical approximations of stationary behaviour. Given observations from…
math.DS2026
Stochastic Stability of ACIMs for Piecewise Expanding Maps
Aparna Rajput
We prove stochastic stability of absolutely continuous invariant measures (ACIMs) for piecewise expanding maps of the interval. For maps in the class $\math…
math.DS2024
Existence of ACIM for Piecewise Expanding maps
Aparna Rajput, Paweł Góra
In this paper, we establish Lasota-Yorke inequality for the Frobenius-Perron Operator of a piecewise expanding map of an interval. By adapting this inequality t…