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We consider the network model of the integer quantum Hall effect transition.By generalizing the real--space renormalization group procedure for theclassical percolation to the case of quantum percolation, we derive a closedrenormalization group (RG) equation for the universal distribution ofconductance of the quantum Hall sample at the transition. We find anapproximate solution of the RG equation and use it to calculate the criticalexponent of the localization length and the central moments of the conductancedistribution. The results obtained are compared with the results of recentnumerical simulations.Comment: 17 pages, RevTex, 7 figure

Localization and conductance fluctuations in the integer quantum Hall effect: Real-space renormalization-group approach