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Transient aging in fractional Brownian and Langevin-equation motion

Abstract:

Stochastic processes driven by stationary fractional Gaussian noise, that is, fractional Brownian motion and fractional Langevin-equation motion, are usually considered to be ergodic in the sense that, after an algebraic relaxation, time and ensemble averages of physical observables coincide. Recently it was demonstrated that fractional Brownian motion and fractional Langevin-equation motion under external confinement are transiently nonergodic—time and ensemble averages behave differently—fr...

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Publisher:
American Physical Society
Publication date:
2013-01-01
UUID:
uuid:a8602af3-c96e-4e5f-b97b-7afa654e6c74
Local pid:
oai:eprints.maths.ox.ac.uk:1774
Deposit date:
2014-02-13

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