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Fig. 1

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The power per logarithmic interval of k, as defined in Eq. (46), at redshifts z = 0 (left panel) and z = 2 (right panel). The solid lines are the linear power spectrum “PL”, the nonlinear Zeldovich power spectrum “PZel”, given by Eq. (13), the nonperturbative correction “Ps.c.”, given by Eq. (45), and the sum PZel + Ps.c. associated with the “sticky model”, Eq. (41). The dot-dashed lines, which grow very fast and are only partly drawn, are the absolute values of the standard perturbative terms  |P(2)|  and  |P(3)| , from Eq. (23). The lower dashed lines are the “renormalized” perturbative terms of the expansion (24), from Eq. (26), for n = 1 to 5 and n = 10,15,20,30,50, and 70. The peak moves to higher k as the order n increases. The dotted lines that follow the nonlinear Zeldovich power spectrum until a Gaussian decay are the partial sums , with N = 5,10,15,20, and 30. All terms are multiplied by the factor 4πk3 of Eq. (46).

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