“…Since 2010, when the importance of the relative velocities was recognized for the first time [1], their impact on various areas of astrophysics and cosmology has been widely explored. The relative velocities were shown to leave signatures in a surprisingly wide variety of cosmological probes, as they were shown to affect abundance [1,8,11,13,12,16,25,42,43] and gas content [8,10,11,12,13,14,25,44,45, 50] of 10 5 − 10 6 M ⊙ halos at high redshifts (up to z ∼ 10), formation of the first stars [8,9,10,11,12], formation of globular clusters [19], abundance of massive black holes [42,43,83,72], generation of primordial magnetic fields [174], brightness of satellite galaxies [16], clustering of massive low-redshift galaxies [15,17,18], B-mode polarization of the CMB [20], patchiness of reionization [86,114], and fluctuations in 21-cm signal of neutral hydrogen [30,32,44,70,95].…”