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We report an analytical evaluation of the mean-squared displacement (MSD) ofthe particles in glasses based on their coarse grained trajectories. Thecalculation is conducted by means of a local random configuration-tree theorythat was recently proposed by one of us [C.-H. Lam, J. Stat. Mech.\textbf{2018}, 023301 (2018)]. Results are compared with the numericalsimulations of a lattice glass model, and good quantitative agreement has beenobtained over a wide range of temperatures in the entire region of time withvirtually no free parameters. To the best of our knowledge, the calculation isthe first in its kind.

Configuration-tree Theoretical Calculation of the Mean-Squared Displacement of Particles in Glass Formers