Theoretical and experimental studies of high multiplicity events are analyzed. Some interesting phenomena can be revealed at high multiplicities. Preliminary results of project Thermalization are reported. * The study is carried out on the extracted beam of protons with energy 70 GeV and intensity ∼ 10 7 in a cycle of the accelerator.* The liquid hydrogen target is used. * Installation is capable to detect of events with HM of charged particles and γ quanta. Multiplicity of photons makes up to ≤ 100. The lower energy threshold of the photon registration is 50 MeV. * The HM trigger system is capable to select rare events with multiplicity n π = 20 ÷ 30. The suppression factor of events with low multiplicity n π < 20 is 10 4 . * The magnetic spectrometer has the momentum resolution δp/p ≈ 1.5% in the interval p = 0.3 ÷ 5.0 GeV/c. At the beginning the experiment and subsequent data analysis the generator was developed. It is based on the assumption that in the HM region the particles in c.m.s. should have isotropic angular distribution and their energy distribution is Maxwell or Bose-Einstein type [5].