作者：Graczyk, J; Swiatek, G
作者：Colding, TH; Minicozzi, WP
作者：LeCalvez, P; Yoccoz, JC
摘要：Let f be a local homeomorphism of the plane with a fixed point z which is a locally maximal invariant set and which is neither a sink nor a source. We prove that there are two integers q greater than or equal to 1 and r greater than or equal to 1 such that the sequence i(f(k), z) of the indices at z of the iterates of f satisfy i(f(k), z) = 1 - rq if k is a multiple of q and i(f(k), z) = 1 otherwise. As a corollary we deduce that there is no minimal homeomorphism on the infinite annulus or mor...
作者：Johansson, K
摘要：If M is a matrix taken randomly with respect to normalized Haar measure on U(n), O(n) or Sp(n), then the real and imaginary parts of the random variables Tr(M-k), k greater than or equal to 1, converge to independent normal random variables with mean zero and variance k/2, as the size n of the matrix goes to infinity. For the unitary group this is a direct consequence of the strong Szego theorem for Toeplitz determinants. We will prove a conjecture of Diaconis saying that for U(n) the rate of ...
