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Grading | Grades will be based on this exercise sheet (final version!) . If you are taking the course for a grade, or if you just wanna have fun, solve as many as you can. If you are getting help from others or from books, give appropriate credit. Exercise sheet is due 19.4.20. You can send your solutions to me by email or put them in my mailbox, but if you use the mailbox, please notify me by email.
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Lectures |
Tuesday 9:10-12, Schreiber 7.
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Notes |
The course was given previously in fall 2013, here is the previous
course webpage. Some notes p1, p2, p3 completing a statement needed for the proof that SL(n,Z) is a lattice in SL(n,R), and Siegel summation formula. In the lecture of Jan. 7, I skipped the proof of the wavefront lemma. In the lecture of Jan. 14, I skipped the proof of the main inductive step in the Kleinbock-Margulis proof of nondivergence (1, 2, ,3 ,4). Here is an expository paper on Ratner's theorems, still under preparation, by Jon Chaika and Donald Robertson. I will follow it partially in the lecture of Jan. 21. |
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| Books |
(a general introduction to ergodic theory and dynamical systems).
(another good general introduction although not as well suited for this course).
(a specialized monograph on the topics of the course, the pace is a little slower than ours).
(This is a draft of a book currently being written. It is highly recommended and I will follow it in many places, but it is not in final form. Comments -- large or small -- appreciated by the authors, email me if you have any.)
(an encyclopedic book that contains many of the results in the theory, more specialized than our course and contains more results in greater generality).
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