Establishes quantitative exponential mixing for the randomized Chirikov standard map on T^2 under large kicking strengths via a new criterion for incompressible random dynamical systems.
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Derives lower bounds on mixing rates for passive divergence-free vector fields under W^{1,q} constraints and provides numerical evidence for at least exponential optimal mixing via H^{-α} norm decay.
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Quantitative exponential mixing for the randomized Chirikov standard map
Establishes quantitative exponential mixing for the randomized Chirikov standard map on T^2 under large kicking strengths via a new criterion for incompressible random dynamical systems.
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Mixing and Small-Scale Formation in a Passive Divergence-Free Vector Field
Derives lower bounds on mixing rates for passive divergence-free vector fields under W^{1,q} constraints and provides numerical evidence for at least exponential optimal mixing via H^{-α} norm decay.