Open Conformal Systems and Perturbations of Transfer Operators

1. Introduction.- 2. Singular Perturbations of Classical Original Perron-Frobenius Operators on Countable Alphabet Symbol Spaces.- 3. Symbol Escape Rates and the Survivor Set K(Un).- 4. Escape Rates for Conformal GDMSs and IFSs.- 5. Applications: Escape Rates for Multimodal Mapsand One-Dimensional Complex Dynamics.

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• Cálculo integral e equações
• Análise complexa, variáveis ??complexas
• Ciência não-linear
• Análise funcional e transforma

open dynamical systems;conformal dynamical systems;escape rates;survivor sets;thermodynamic formalism;Perron-Frobenius (transfer) operator;singular perturbations;countable graph directed Markov systems and IFSs;countable alphabet subshifts of finite type;rational functions and interval maps