The subspace Hamiltonian technique, introduced several years ago, has proved convenient for determining bound states and resonances associated with surfaces and defects. Here we discuss the extension of this technique to other problems, including total-energy calculations and real-time computer simulations. %e prove several theorems and report numerical calculations that help to explain the use...

Many problems in mathematics and science require the use of infinite-dimensional spaces. Consequently, there is need for an analogue of the finite-dimensional notions of ‘Lebesgue almost every’ and ‘Lebesgue measure zero’ in the infinite-dimensional setting. The theory of prevalence addresses this need and provides a powerful framework for describing generic behavior in a probabilistic way. We ...

TABLE OF CONTENTS PAGE INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 Historical. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 Mutations and crossing over. . . . . . . . . . . . . . . . . . . . . . ...

This study among 426 Japanese couples working in different occupational sectors tested the hypothesis that perspective taking moderates the crossover of work engagement. More specifically, we predicted that husbands' work engagement would cross over to their wives, particularly when wives scored high on perspective taking (the spontaneous tendency to adopt the psychological perspective of other...

NE of the fundamental problems concerning the mechanism of cross0 ing over is the question of chromatid interference. In the absence of chromatid interference the identity of the chromatids involved in two or more chiasmata or points of crossing over is random. Positive chromatid interference would exist if a crossover between one pair of chromatids reduced their chances of being involved in a ...

In [4], D. Osipov and A. Parshin developed an approach to harmonic analysis on higher dimensional local fields through categories of filtered vector spaces as in [3]. In the present paper we give a variant of this approach that behaves nicely for inductive arguments. We establish Pontryagin duality, the Fourier inversion formula, and a Plancherel formula for all dimensions. ∗This paper was writ...