A review is given of several aspects of the work of Basil Gordon. These include: Rogers-Ramanujan identities, plane partitions, the method of weighted words, modular forms and partition congruences, and the asymptotics of partitions and related q-series.

We investigate solutions of the Klein-Gordon equation in a class of five dimensional geometries presenting the same symmetries and asymptotic structure as the Gross-Perry-Sorkin monopole solution. Apart from globally regular metrics, we consider also squashed Kaluza-Klein black holes backgrounds.

Abstract. We extend partition-theoretic work of Andrews, Bressoud, and Burge to overpartitions, defining the notions of successive ranks, generalized Durfee squares, and generalized lattice paths, and then relating these to overpartitions defined by multiplicity conditions on the parts. This leads to many new partition and overpartition identities, and provides a unification of a number of well...

In this reply to the comment by C. R. Willis, we show, by quoting his own statements, that the simulations reported in his original work with Boesch Phys. Rev. B 42, 229

In this paper we consider the integrability of the mappings derived from the double discrete related sine-Gordon (∆∆RsG) equation, which we recently introduced in the paper Higher dimensional integrable mappings, under an appropriate periodicity condition.

____________ The content of this paper is considered work in progress and should not be quoted or cited without permission of the Gordon Commission and the author(s).

The relationship between the soliton dynamics provided by the classical sine-Gordon and massive Thirring models is exhibited. Solitons are characterized as classical relativistic particles through the consideration of their associated canonical realizations of the Poincare group. It is shown that the soliton in the massive Thirring model determines two different kinds of relativistic particles ...

David Andolfatto is a professor of economics at the the University of Waterloo and the University of Western Ontario. Paul Gomme is an economic advisor at the Federal Reserve Bank of Cleveland. Both authors are members of the Centre for Research on Economic Fluctuations and Employment in Montreal, Canada. They thank LutzAlexander Busch, Gordon Myers, and Ed Nosal for helpful comments and critic...

We prove that the short-pulse equation, which is derived from a quasilinear Klein–Gordon equation with formal asymptotic methods, can be rigorously justified. The justification procedure applies to small-norm solutions of the short-pulse equation. Although the small-norm solutions exist for infinite times and include modulated pulses and their elastic interactions, the error bound for arbitrary...

By exploiting estimates on Bloch functions obtained in a previous paper, we prove decay estimates for Klein Gordon equations with a time independent potential periodic in space in 1D and with generic mass. §