An analytic proof of an evaluation theorem for the “convolution”type double L-values of non-principal characters is given. Along the way, Dirichlet character analogues of generalized single and double polylogarithms are defined. The monodromies of these functions play a pivotal role.

This paper discusses the contribution of aerodynamic techniques to record phonetic data in the field. New tools allow using automatic calibrations procedures as well as quantifying data in a reliable way. This permits addressing research questions such as patterns of variations of phenomena. Analytic methods show how to interpret data from physical principles and integrate those in adequate mod...

Few if any obtain a measure of success in their chosen profession without the beneficent influence of others. The first author is no exception. His interest in optimal stopping problems was ignited as a student in 1965 when Professor Robbins was visiting the University of Minnesota. Perhaps a fitting way of expressing appreciation would be to use this occasion to introduce the second author, Xi...

We study algebraic and analytic aspects of self-adjoint operators of order four or higher with polynomial coefficients. As a consequence, a systematic way of constructing such operators is given. The procedure is applied to obtain many examples up to order 8; similar examples can be constructed for all even order operators. In particular, a complete classification of all order 4 operators is gi...

I determine the scaling behavior of the free energy barriers encountered by a flux line in moving through a three-dimensional random potential. A combination of numerical simulations and analytic arguments suggest that these barriers scale with the length of the line in the same way as the fluctuation in the free energy.

The two-body random ensemble for a many-body bosonic theory is mapped to a problem of random polynomials on the unit interval. In this way one can understand the predominance of 0(+) ground states, and analytic expressions can be derived for distributions of lowest eigenvalues, energy gaps, density of states, and so forth. Recently studied nuclear spectroscopic properties are addressed.

In the above paper, it was shown by way of an example that there exist bounded-input–bounded-output (BIBO) unstable linear systems whose transfer functions are analytic in the finite plane. We note that this result could easily be shown by using some examples already present in the literature.

We discuss the determination of the lowest Form Factors relative to the trace operators of N = 1 Super Sinh-Gordon Model. Analytic continuations of these Form Factors as functions of the coupling constant allows us to study a series of models in a uniform way, among these the latest model of the Roaming Series and a class of minimal supersymmetric models.