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Lyapunov exponents for transfer operator cocycles of metastable maps: A quarantine approach

Lyapunov exponents for transfer operator cocycles of metastable maps: A quarantine approach

This works investigates the Lyapunov–Oseledets spectrum of transfer operator cocycles associated to one-dimensional random <italic>paired tent maps</italic> depending on a parameter <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="epsilon"> <mml:semantics> <mml:mi>ε<!-- ε --></mml:mi> <mml:annotation encoding="application/x-tex">\varepsilon</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, quantifying the strength of the <italic>leakage</italic> between two nearly invariant regions. We show that the …