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Iterated Function Systems: A Comprehensive Survey

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arxiv 2211.14661 v1 pith:VH3QR7AR submitted 2022-11-26 math.PR cs.SYeess.SYmath.DS

classification math.PRcs.SYeess.SYmath.DS
keywords functioniteratedstatesystemsappliedchallengeschosencomprehensive
verification ladder T0 review T1 audit T2 compute T3 formal
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We provide an overview of iterated function systems (IFS), where randomly chosen state-to-state maps are applied iteratively to a state. We aim to summarize the state of art and, where possible, identify fundamental challenges and opportunities for further research.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. fSRD: Fuzzy Spectral Region Decomposition -- Automated Multi Operator Koopman Representations via an Adaptive Spectral Learning Architecture

    cs.LG 2026-07 conditional novelty 6.0 of 10

    fSRD automates multi-operator Koopman modelling by fitting local DMD models inside adaptively learned fuzzy regions of a data matrix, reporting high in-sample reconstruction accuracy on chaotic and high-dimensional data.

  2. humancompatible.interconnect: Testing Properties of Repeated Uses of Interconnections of AI Systems

    cs.AI 2025-07 conditional novelty 4.0 of 10

    A new PyTorch toolkit estimates contraction-on-average conditions in closed-loop AI-agent models to support fairness and robustness analysis.

  3. Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties

    math.DS 2025-05 reject novelty 2.0 of 10

    The paper restates the classical invariant-measure theorem for random IFS, sketches a stability result via external ergodicity theorems, and reports box-counting dimensions for eight simulated nonlinear random attractors.

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