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We compute the galaxy-galaxy correlation function of low-luminosity SDSS-DR7galaxies $(-20 < M_{\rm r} - 5\log_{10}(h) < -18)$ inside cosmic voidsidentified in a volume limited sample of galaxies at $z=0.085$. To identifyvoids, we use bright galaxies with $M_{\rm r} - 5\log_{10}(h) < -20.0$. We findthat structure in voids as traced by faint galaxies is mildly non-linear ascompared with the general population of galaxies with similar luminosities.This implies a redshift-space correlation function with a similar shape thanthe real-space correlation albeit a normalization factor. The redshift spacedistortions of void galaxies allow to calculate pairwise velocity distributionswhich are consistent with an exponential model with a pairwise velocitydispersion of $w \sim 50-70$ km/s, significantly lower than the global value of$w \sim 500$ km/s. We also find that the internal structure of voids as tracedby faint galaxies is independent of void environment, namely the correlationfunctions of galaxies residing in void-in-void or void-in-shell regions areidentical within uncertainties. We have tested all our results with thesemi-analytic catalogue MDPL2-\textsc{Sag} finding a suitable agreement withthe observations in all topics studied.

Structure and dynamics in low density regions: galaxy-galaxy correlations inside cosmic voids