Updated: 2012-11-29 01:31:52
I’ve just uploaded to the arXiv my joint paper with Vitaly Bergelson, “Multiple recurrence in quasirandom groups“, which is submitted to Geom. Func. Anal.. This paper builds upon a paper of Gowers in which he introduced the concept of a quasirandom group, and established some mixing (or recurrence) properties of such groups. A -quasirandom group [...]
Updated: 2012-11-21 02:30:46
Given a function between two sets , we can form the graph which is a subset of the Cartesian product . There are a number of “closed graph theorems” in mathematics which relate the regularity properties of the function with the closure properties of the graph , assuming some “completeness” properties of the domain and [...]
Updated: 2012-11-20 00:00:00
Launch tour »
Updated: 2012-11-14 17:41:20
I’ve just uploaded to the arXiv my paper “Expanding polynomials over finite fields of large characteristic, and a regularity lemma for definable sets“, submitted to Contrib. Disc. Math. The motivation of this paper is to understand a certain polynomial variant of the sum-product phenomenon in finite fields. This phenomenon asserts that if is a non-empty [...]
Updated: 2012-11-10 16:59:22
It’s been a slow week. Mathematically…. I need to complete the discussion that started with the latest control theory post. Much of that is still just math (stage III), not yet a lecture (stage IV), so I could have my work cut out for me. (There, now I’m covered if I don’t get a post [...]
Updated: 2012-11-03 16:37:48
Where to start? I have a few topics, but none cry out “I’m the lead story!” Well, there was Sandy…. I have an electronic collection of the first hundred years of National Geographic. Unfortunately, it can’t be read by any of my current computers. (It’s all images of pages, but they wrapped them all in [...]
