• The MATLAB section quizzes at the end of each chapter use programs available for download as the archive matcode.zip. This archive has programs of general purpose programs for solving probability problems as well as specific .m files associated with examples or quizzes in the text. Also available is a manual probmatlab.pdf describing the general purpose .m files in matcode.zip. • We have made...

In this paper, we probe the validity of the tunneling interpretation that is usually called forth in the literature to explain the phenomenon of particle production by time-independent classical electromagnetic backgrounds. We show that the imaginary part of the effective Lagrangian is zero for a complex scalar field quantized in a time-independent, but otherwise arbitrary, magnetic field. This...

We define cheat sensitive cryptographic protocols between mistrustful parties as protocols which guarantee that, if either cheats, the other has some nonzero probability of detecting the cheating. We describe an unconditionally secure cheat sensitive nonrelativistic bit commitment protocol which uses quantum information to implement a task which is classically impossible; we also describe a sim...

We give a simple argument proving the lonely runner conjecture in the case where the speed of the runners forms a certain lacunary sequence. This improves an earlier result by Pandey, and is then used to derive that for each number of runners the lonely runner conjecture is true for a set of nonzero measure in a natural probability space.

K e y w o r d s M a x w e l l ' s single-particle probability density, Rayleigh's dissipation function, Heisenberg's uncertainty principle, Distribution function for nonzero-volume disparate particles with the spin mixtures, It6's stochastic differential equation. 0895-7177/05/$ see front mat ter @ 2005 Elsevier Ltd. All rights reserved. doi: 10.1016/j.mcm.2003.09.044 Typeset by AA4S-TEX

It has been shown that with probability one the peak to mean envelope power ratio (PMEPR) of any random codeword chosen from a symmetric QAM/PSK constellation is logn where n is the number of subcarriers [l]. In this paper, the existence of codes with nonzero rate and PMEPR bounded by a constant is established.