CORRELATION-FUNCTIONS FROM THE PERSEUS-PISCES REDSHIFT SURVEY

The three- and four-point correlation functions are evaluated from the Perseus Pisces galaxy redshift sample. Former results on the two-point function xi are also reviewed. In the range of distances from 1 h-1 Mpc to 10 h-1 Mpc, three- and four-point functions do not agree with the expressions of the hierarchical clustering model. On the contrary they are steeper and can be fitted by adding terms with a higher power of xi. Such results from a redshift catalog partially modifies the picture of the large-scale matter distribution obtained from early two-dimensional samples. The relation among these results, biased models of galaxy formation, and observed velocity fields is discussed.