Combining Stein’s method with heat kernel techniques, we show that the trace of the jth power of an element of U(n, C), USp(n, C) or SO(n, R) has a normal limit with error term of order j/n. In contrast to previous works, here j may be growing with n. The technique should prove useful in the study of the value distribution of approximate eigenfunctions of Laplacians.

We investigate Bak-Sneppen coevolution models on scale-free networks with various degree exponents gamma including random networks. For gamma>3 , the critical fitness value f(c) approaches a nonzero finite value in the limit N --> infinity, whereas f(c) approaches zero as 2(N) on the networks ...

We have utilized several processing techniques to locally modify the superconducting transition temperature and the normal state resistivity of aluminum thin films. The techniques of ion implantation, application of a magnetic overlayer, and reactive ion etching have been used to fabricate S-N interfaces with controlled differences in transition temperatures and normal state resistances. Lithog...

Code Division Multiple Access Communications Sang Wu Kim1 and Andrea Goldsmith Dept. of Electrical Engineering California Institute of Technology Pasadena, CA 91125 Abstract We analyze the performance of the truncated power control scheme in code division multiple access communication systems, which compensates for fading above a certain cuto fade depth. We investigate the power gain as well as...