| 1. | Chaos theory got its start in the field of ergodic theory.
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| 2. | This is also known as a non-ergodic stochastic process.
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| 3. | Fink imagines a cryptographic application based on the ergodic cavity configuration.
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| 4. | The autocorrelation of an ergodic process is sometimes defined as or equated to
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| 5. | The ergodic hypothesis is also important for the Boltzmann approach.
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| 6. | This condition is known as the condition of ergodic consistency.
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| 7. | It was the first time anyone proved a dynamic system was ergodic.
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| 8. | Most of these proofs use Fourier analysis or ergodic theory.
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| 9. | One important technique in arithmetic combinatorics is the ergodic theory of dynamical systems.
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| 10. | These include differential equations, manifolds, Lie groups, and ergodic theory.
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