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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2026 2verdicts
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The 1D stochastic Allen-Cahn equation with localized white noise admits a unique invariant measure and its Markov process is exponentially mixing.
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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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Exponential mixing for the stochastic Allen--Cahn equation with localized white noise
The 1D stochastic Allen-Cahn equation with localized white noise admits a unique invariant measure and its Markov process is exponentially mixing.