In this paper, on a non-standard extension (∗X ,∗d) of a metric space (X ,d), we construct a chain of new non-standard topologies in terms of convex subrings of ∗R, its minimal element is the Stopology and its maximal is the Q-topology. Next, we construct X̂ , the F -asymptotic hull of X , and we prove that such space is metrizable and complete when F is generated by an asymptotic scale. Finally...

This note describes the research agenda my co-authors and I have developed over the past 15 years, and explains how our papers fit into that agenda. The intended audience is academic researchers, but I would like the note to be accessible to non-academic readers as well, so I’ve tried to avoid using too much technical jargon (although there is still some). I welcome your comments. If you find t...

Serious roadblocks have been encountered in several areas of computer application, for example in the solution of intractable (NP-complete) combinatorial problems, or in the simulation of fluid flow. In this talk we will explore two alternatives to the usual kinds of computers, and ask if they provide some hope of ultimately by-passing what appear to be essential difficulties. Analog computatio...

A discussion of several exotic models and how well they are able to describe the data, with particular emphasis on atmospheric neutrinos.

A specific language as used by different speakers and in different situations has a number of more or less distant varieties. Extending the notion of non-standard language to varieties that do not fit an explicitly or implicitly assumed norm or pattern, we look for methods and tools that could be applied to such texts. The needs start from the theoretical side: categories usable for the analysi...

A previously-developed experimental facility has been used to determine gas-surface thermal accommodation coefficients from the pressure dependence of the heat flux between parallel plates of similar material but different surface finish. Heat flux between the plates is inferred from measurements of temperature drop between the plate surface and an adjacent temperaturecontrolled water bath. The...