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A modern statistical physics description connecting the energy and multiplicity distributions of hadrons by a stochastic fluctuation of phase space dimensionality is presented. This approach explains observed data in AA and pp collisions, and could prove to be valuable in understanding statistical and dynamical aspects of hadronization. Similar mechanisms are already revealed in other statistical systems (citation popularity, income distribution, city sizes, tree ecology, etc.) Such state-sensitive transition rates lead in general to a non-exponential thermodynamical factor in the stationary distribution.