Lopsided amplitude as a function of the disk size (R₉₀), fraction of stellar mass within the central regions (M_*(≤2 kpc)/M_*), and central stellar mass density (μ_*), respectively, for our selected sample of disk-like galaxies between 0<z<2, divided into the four galaxy types defined in Fig. 8 and in the two redshift intervals: 1.5<z<2 (i.e., high redshift) and 0<z<1 (i.e., low redshift) shown from left to right. Small symbols represent individual galaxies, while large symbols represent the mean distribution of each galaxy type. Error bars represent the bootstrap standard error, calculated from the standard deviation of the means of 500 bootstrap samples obtained by sampling with replacement our original dataset.