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unusual facts about ergodic



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Ergodic theory |

Mary Ann Buckles

Espen Aarseth, a researcher based in Copenhagen, is credited with raising the profile of Buckles’s dissertation, which Aarseth quotes eight times in his own book, Cybertext: Perspectives on Ergodic Literature.

Matthew Foreman

; Weiss, B.: An anti-classification theorem for ergodic measure

Multitaper

In signal processing, the multitaper method is a technique developed by David J. Thomson to estimate the power spectrum SX of a stationary ergodic finite-variance random process X, given a finite contiguous realization of X as data.

Quantum ergodicity

The quantum ergodicity theorem of Shnirelman, Yves Colin de Verdière, and Zelditch states that a compact Riemannian manifold whose unit tangent bundle is ergodic under the geodesic flow is also ergodic in the sense that the probability density associated to the nth eigenfunction of the Laplacian tends weakly to the uniform distribution on the unit cotangent bundle as n → ∞.


see also