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Density of states of a two-dimensional electron gas in a long-range random potential.

The thermodynamic density of states and the density of states as obtained from the activation energy of the conductivity are calculated taking into account both linear and nonlinear electron screening. In the linear screening regime the density of states in a strong magnetic field is negative, and it is determined by electron-electron interaction. Linear screening fails when the edling factor is close to an integer. In the nonlinear screening regime the density of states is positive. The crossover between these regimes is shown to be very sharp. The quantitative results are obtained by computer modeling