Extrapolation of transfer matrix data for percolation and lattice animals by the Romberg-Beleznay algorithm

Using Beleznay's modified Romberg algorithm the author re-analyses the transfer matrix data for the two-dimensional problems of Derrida and Stauffer (1985). He gets for percolation: p_c=0.59273(6) for the threshold of the square site problem, nu =1.3330(7) for the correlation length exponent and omega =1.9(3) for the correction exponent, in the case of lattice animals x _c=0.246152(4) (square lattice), x_c=0.19294(1) (triangular lattice critical fugacity) and nu =0.64062(10) (radius exponent).