Potpourri, 10

These notes, associated with a topics course, are largely concerned with Hausdorff measures and a class of metric spaces which behave like Cantor sets.Comment: 10 pages, latex-2

Some topics concerning analysis on metric spaces and semigroups of operators

This is a brief survey which reviews some traditional themes in harmonic analysis and some more recent areas of activity, connected to "analysis on fractals" in particular.Comment: to appear, Gazette des Mathematiciens, Societe Mathematique de France, and maybe even in Frenc

Some remarks about curves in metric spaces

Here we consider a few topics related to Lipschitz classes for functions and curves in metric spaces.Comment: 4 pages, latex-2

Some remarks about Cauchy integrals and totally real surfaces in C^m

There seems to be quite a bit of room for interesting things related to surfaces M in C^m with real dimension m which are totally real and aspects of several complex variables on C^m around M. A basic case occurs when m = 1, with Cauchy integral operators along curves, holomorphic functions on the complements of curves, and so on. In the present article we briefly indicate a few points concerning these matters.Comment: 6 pages, latex-2e. A few addition

Elements of harmonic analysis, 3

These notes briefly discuss basic notions concerning locally compact abelian topological groups and Fourier transforms of functions on them.Comment: latex-2e, 4 page

An introduction to Heisenberg groups

This is brief and hopefully friendly, with basic notions, a few different perspectives, and references with more information in various directions.Comment: Additional references and other modest adjustment

Complexity and ordinary life, and some mathematics in both

This is a very basic introduction to some notions related to logic and complexity.Comment: latex-2e, 8 page

A beginner's guide to analysis on metric spaces

These informal notes briefly discuss some basic topics involving Lipschitz functions, connectedness, and Hausdorff content in particular.Comment: latex-2e, 14 page

Notes on p-adic numbers

These notes deal with some basic notions related to p-adic numbers and functions of p-adic numbers.Comment: latex-2e, 13 page

Analysis on disconnected sets

Some aspects of analysis on disconnected sets are briefly discussed, more along the lines of regions with infinitely many components than Cantor sets.Comment: 4 pages, latex-2