Redundant wavelet processing on the half‐axis with applications to signal denoising with small delays: theory and experiments

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Primordial gravitational waves, precisely: the role of thermodynamics in the Standard Model (2018, methodology): “n of the modes deep inside the horizon (k˛aH) is well approximated by the WKB solution, ˜(˝;k) /a 1e ik˝, where ˝ is conformal time dened by d˝= dt=a. The energy density of the relic GWs is given by [32] ˆ gw(t) = 1 32ˇG hh_ ij(t;x)h_ ij(t;x)i av = 1 32ˇG X Z d3k (2ˇ)3 2jh_ k j 2; (2.7) where h:::i”
A Review of Gravitational Waves from Cosmic Domain Walls (2017, background): “Eq. (3.1) during the scaling regime. Let us estimate the peak amplitude of GWs produced by long-lived domain walls. The spectrum of GWs at the cosmic time t is characterized by the following quantity [3,4]: Ω gw(t,f) = 1 ρc(t) dρ gw(t) dlnf , (3.6) where f = k/2πR(t) is the frequency correspondingto”
Primordial gravitational waves for universality classes of pseudoscalar inflation (2016, background): “ned calculation of the solution to Eq. (11) can be found in [8], with which the estimate above agrees up to an order one factor. The tensor uctuations are governed by the linearized Einstein equation [21]: d2h ij d˝ 2 + 2 dlna d˝ dh ij d˝ h ij= 2 M P ab ijT ab: (16) 5 Here ij ab is the transverse, t”