Author: ADMIN

verano_2025

More or less a bounded curve is rectifiable iff it has length. There is a criterion to determine if a curve is rectifiable involving the Jones β number.What is it? What are some examples of the β numbers of the coastline? Does any of this help us understand or control coastline erosion? While we will not exactly answer these questions we will explain what all these terms mean. Hopefully we will encourage everyone to learn more geometric measure theory! This will be a purely expository talk. But the speaker is always willing to talk (offline) about his related research.

Professor Gong’s research interests include: C*-algebra Noncommutative geometry Classification of C*-algebras K-theory

We consider some simplest and most common finite semigroups that arise frequently in many areas of pure and applied mathematics, in particular, cyclic semigroups and bands. We then consider the question which of them have copies in the Stone-Cech compactification of the natural numbers. The latter itself is a compact right topological semigroup with a very complicated structure and important applications to Ramsey theory and to topological dynamics. The first application to Ramsey theory was the proof of Hindman’s theorem (1974): whenever the set of natural numbers is finitely colored, there is an infinite sequence all of whose sums are…

A permutation array is a square binary matrix that contains a single 1 by row and by column. Costas arrays are permutation arrays where the vectors connecting two entries with 1 are distinct. These arrays are useful in applications such as radar and sonar, digital watermarking, and wireless communications in general. In this talk, we will present a generalization of Costas arrays to multiple dimensions, extend the Welch and Lempel constructions to multiple dimensions, and study some of their properties.