Aparna Rajput

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math.DS2026

Stochastic Stability of ACIMs for Piecewise Expanding $C^{1 + ε}$ Maps

Aparna Rajput

We prove stochastic stability of absolutely continuous invariant measures (ACIMs) for piecewise expanding $C^{1 + ε}$ maps of the interval. For maps $I ¨ $ in the class $\mat…

math.DS2025

Existence of ACIM for Piecewise Expanding $C^{1 + ε}$ maps

Aparna Rajput, PaweÅ GÃ³ra

In this paper, we establish Lasota-Yorke inequality for the Frobenius-Perron Operator of a piecewise expanding $C^{1 + ε}$ map of an interval. By adapting this inequality t…

math.DS2025

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 $I ¨ $ with a countably infinite number of branches on the interval $I=[0,1]…

Stochastic Stability of ACIMs for Piecewise Expanding C1+ε Maps

Existence of ACIM for Piecewise Expanding C1+ε maps

Quasi-compactness of Frobenius-Perron Operator for Piecewise Convex Maps with Countable Branches

Stochastic Stability of ACIMs for Piecewise Expanding $C^{1 + ε}$ Maps

Existence of ACIM for Piecewise Expanding $C^{1 + ε}$ maps