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This is a Quantitative Study study.

September 24, 2025Open Access

Statistical stability for systems semi-conjugate to pre-piecewise convex or expanding maps with countably many branches

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Statistical stability is achieved when the map δ→μ_δ is continuous at δ=0, enhancing the understanding of dynamical systems.
The study establishes conditions for the stability of invariant measures μ_0, which is significant for complex dynamical behaviors.
Explicit quantitative estimates for the modulus of continuity of μ_δ are provided, confirming the stability analysis frameworks.
Addressing challenges from unbounded derivatives and infinite Markov partitions advances the stability analysis of these systems.

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Implication

This analysis reveals conditions for achieving statistical stability in dynamical systems, pointing to insights about invariant measures and perturbations.

Cite This Study

Rafael Lucena (2025) studied this question.

synapsesocial.com/papers/68d6e1978b2b6861e4c40317 https://doi.org/10.48550/arxiv.2508.11878

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Implication

This analysis reveals conditions for achieving statistical stability in dynamical systems, pointing to insights about invariant measures and perturbations.

Statistical stability for systems semi-conjugate to pre-piecewise convex or expanding maps with countably many branches

Key Points

Discussion

Implication

Cite This Study

Statistical stability for systems semi-conjugate to pre-piecewise convex or expanding maps with countably many branches

Key Points

Discussion

Implication

Cite This Study

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