Classical turbulence obeys the Migdal area law for circulation because wavefunction zeros in a quantum-derived stochastic fluid equation carry quantized circulation whose topology enforces the area scaling.
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Positive-rate probabilistic cellular automata admitting stationary Bernoulli measures are exponentially ergodic with logarithmic mixing times for finite regions.
The paper reviews the Feynman-Wiener path-integral formalism for diffusion with drift and jumps.
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Why Does Classical Turbulence Obey an Area Law?
Classical turbulence obeys the Migdal area law for circulation because wavefunction zeros in a quantum-derived stochastic fluid equation carry quantized circulation whose topology enforces the area scaling.
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Positive-rate PCA and IPS with stationary Bernoulli measures are rapidly forgetful
Positive-rate probabilistic cellular automata admitting stationary Bernoulli measures are exponentially ergodic with logarithmic mixing times for finite regions.
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Path-Integral Description of Stochastic Mechanics
The paper reviews the Feynman-Wiener path-integral formalism for diffusion with drift and jumps.