A Course for Ph. D. Students

Course Blog Fall 2016

Day 1. Getting Right to Work

We will go over the plan for the course and then get right to work. The main idea is independence, and some simple questions lead to the need for some new tools. We'll also meet two of our most constant companions: the two Borel Cantelli lemmas. We'll give proofs of these, and then start looking at applications. In the course of events, you will be reminded of various ideas from real analysis, especially limsup and liminf.

Homework No. 1 is due on Wednesday September 7. Note: If sometimes you see "530" keep in mind that this is the old number for 930. I'll catch this much of the time but not all of the time.

This website is the place where one checks in to find the current homework and all of the additional information about our course, including periodic postings of supplemental material.

You can to look at the course syllabus for general information about the course as well as information about grading, homework, the midterm, and the final exam.

Please do review the course policies. I count on participants to read and follow these policies. They are quite reasonable, and it is awkward to have to single out an individual for not following our few rule.

Feel free to contact me if you have questions about the suitability of the course for you. In general the course will only be appropriate if you have had a solid background in real analysis, preferably at the graduate level.