In this paper,we show that for a unicritical polynomial having a priori bounds,the unique conformal measure of minimal exponent has no atom at the critical point.For a conformal measure of higher exponent,we give a ne...In this paper,we show that for a unicritical polynomial having a priori bounds,the unique conformal measure of minimal exponent has no atom at the critical point.For a conformal measure of higher exponent,we give a necessary and sufficient condition for the critical point to be an atom,in terms of the growth rate of the derivatives at the critical value.展开更多
文摘In this paper,we show that for a unicritical polynomial having a priori bounds,the unique conformal measure of minimal exponent has no atom at the critical point.For a conformal measure of higher exponent,we give a necessary and sufficient condition for the critical point to be an atom,in terms of the growth rate of the derivatives at the critical value.
