erf a− ⟨x(τ)⟩p 2C(τ, τ) ! + erf a+⟨x(τ)⟩p 2C(τ, τ) !# (D2) where the integration constant is zero provided thatI 2(a= 0) = 0. Finally, Eq. (48) has the form ⟨Ta(t)⟩= 1 2 Z t 0

(which we include in the plot as orange squares with the label KA), the EB a computed from the ML distribution is valid solely in the region nearH= 1/2, where Eq

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Ergodic properties of functionals of Gaussian processes

cond-mat.stat-mech · 2026-04-17 · unverdicted · novelty 6.0

Exact analytic moments and ergodicity properties are derived for occupation times in Gaussian and fractional Brownian motions, with universal features identified via infinite ergodic theory and confirmed by simulations.

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Ergodic properties of functionals of Gaussian processes cond-mat.stat-mech · 2026-04-17 · unverdicted · none · ref 5
Exact analytic moments and ergodicity properties are derived for occupation times in Gaussian and fractional Brownian motions, with universal features identified via infinite ergodic theory and confirmed by simulations.

erf a− ⟨x(τ)⟩p 2C(τ, τ) ! + erf a+⟨x(τ)⟩p 2C(τ, τ) !# (D2) where the integration constant is zero provided thatI 2(a= 0) = 0. Finally, Eq. (48) has the form ⟨Ta(t)⟩= 1 2 Z t 0

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