James Harper Milligan

Norm Estimates of Harper Operators

n denotes the canonical orthonormal basis in l2. The study of the spectral properties of this class of operators has attracted a significant amount of interest in the past couple of decades (see [5], [3], [8], [1], [10], [14], [12], [7] for some of the most important developments). Most of this work has focused on the “Ten Martini problem” of M. Kac, concerning the possible values of the labels...

Milligan-Morgan Hemorrhoidectomy vs Stapled Hemorrhoidopexy

BACKGROUND The stapled hemorrhoidopexy (SH) is a procedure for prolapse and hemorrhoids . At first SH seemed to be a good alternative for the Milligan Morgan (MM) hemorrhoidectomy and preliminary results in early 2000 confirmed it. However, further studies and evaluation of long-term results showed poorer outcomes. OBJECTIVES This study aimed to evaluate and compare the results of these 2 sur...

Quantum diffusion in the generalized Harper equation

We study numerically the dynamic and spectral properties of a one-dimensional quasi-periodic system, where site energies are given by k = V cos 2πf xk with xk denoting the kth quasiperiodic lattice site. When 2πf is given by the reciprocal lattice vector G(m, n) with n and m being successive Fibonacci numbers, the variance of the wavepacket is found to grow quadratically in time, regardless of ...

Harper skirts transparency on foreign aid.

James

a chair, he was the very picture of dejection. His small head was hanging, an obstreperous tuft of the coarse, sandy hair standing defiantly upright on the crown of it; his complexion was sallow and pasty, and not in any way enhanced by a sparse scattering of tiny yellow freckles, plainly visible at close view; his generous mouth drooped, like his head, the lips pale, but firmly closed. In his ...