Open Conformal Systems and Perturbations of Transfer Operators

Open Conformal Systems and Perturbations of Transfer Operators

Pollicott, Mark; Urbanski, Mariusz

Springer International Publishing AG

02/2018

204

Mole

Inglês

9783319721781

15 a 20 dias

454

Descrição não disponível.
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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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