4 papers
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…
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 $\mat…
Existence of ACIM for Piecewise Expanding maps
Aparna Rajput, PaweŠGóra
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…
Quasi-compactness of Frobenius-Perron Operator for Piecewise Convex Maps with Countable Branches
Pawel Gora, Aparna Rajput
In this paper, we prove the quasi-compactness of the Frobenius-Perron operator for a piecewise convex map with a countably infinite number of branches on the interval $I=[0,1]…