I’ve just finished writing the first draft of my second book coming out of the 2010 blog posts, namely “Topics in random matrix theory“, which was based primarily on my graduate course in the topic, though it also contains material from some additional posts related to random matrices on the blog. It is available online here. As usual, comments and corrections are welcome. There is also a stub page for the book, which at present does not contain much more than the above link.
Recent Comments
 | Anonymous on 254A, Notes 4: Some sieve… |
| Anonymous on 254A, Notes 4: Some sieve… |
| manhtuankhtn on 254A, Notes 4: Some sieve… |
 | yuvallevental on The Collatz conjecture, Little… |
 | JDM on 246A, Notes 0: the complex… |
 | Anonymous on 246A, Notes 0: the complex… |
 | Anonymous on 246A, Notes 1: complex di… |
| Anonymous on 246A, Notes 1: complex di… |
 | Terence Tao on 246A, Notes 1: complex di… |
 | Anderson de Araujo on Tate’s proof of the func… |
| Terence Tao on The least quadratic nonresidue… |
| Anonymous on 246A, Notes 1: complex di… |
 | kodlu on The least quadratic nonresidue… |
| Anonymous on 246A, Notes 1: complex di… |
| Terence Tao on 246A, Notes 0: the complex… |
Google+ feed
- An error has occurred; the feed is probably down. Try again later.
The Polymath Blog
- MO Polymath question: Summary of Proposals 13 August, 2016
- Polymath 11 is Now Open 7 February, 2016
- Polymath Proposals on Math Overflow 7 February, 2016
- Explaining Polynomials Identities – Success! 7 February, 2016
- “Crowdmath” project for high school students opens on March 1 2 January, 2016
- Polymath proposal: explaining identities for irreducible polynomials 28 December, 2015
- Polymath10 is now open 6 November, 2015
- The Erdős discrepancy problem has been solved by Terence Tao 22 September, 2015
- Two polymath (of a sort) proposed projects 20 January, 2014
- Polymath9: P=NP? (The Discretized Borel Determinacy Approach) 4 November, 2013
Mathematics in Australia
- Save pure mathematics at the VU University of Amsterdam 30 April, 2011
- ERA results for mathematical sciences in Australia 15 February, 2011
- Junior positions at ANU 8 November, 2010
- AustMS now on twitter 10 October, 2010
- Research not bad, but not stellar 9 May, 2010
- L’Oréal Australia For Women In Science Fellowships 11 April, 2010
- Postdoctoral position (Level A) in mathematics at Australian National University 18 January, 2010
- Cheryl Praeger named as 2009 Western Australian Scientist of the Year 2 December, 2009
- Positions at Australian National University 4 November, 2009
- Mathematics skills out for the count 26 October, 2009
12 comments
Comments feed for this article
20 February, 2011 at 4:38 pm
Tweets that mention Topics in random matrix theory « What’s new -- Topsy.com
[…] This post was mentioned on Twitter by Olivier Grisel, Christophe Lalanne and Memo Olicón, Probability Fact. Probability Fact said: Topics in random matrix theory http://ow.ly/3ZXvz […]
23 February, 2011 at 11:57 am
Blake Stacey
Typo alert: in section 1.1.2 (random variables), at the bottom of p. 8, the closing quotation mark is typeset in math mode.
[Corrected for the next revision, thanks – T.]
24 February, 2011 at 6:33 pm
Mads
— For maps, I think the correct spacing around the colon is obtained with “\colon” instead of “:”.
— When writing a dash, one should use “—” instead of “ – ”.
— P. 7, l. 8 and l. -6: Capital O.
— P. 8, l. -1: Wrong quotation mark.
— P. 10, l. -4: Text in the (right) margin.
24 February, 2011 at 7:45 pm
Mads
— P. 28, l. 10: Text in the margin.
— P. 31, l. -2: One should `glue’ togther “Exercise” and “1.1.21” with a tilde (~) in order to avoid the linebreak.
— P. 33, l. 10: I do not know the expression “iid signed”. Is it correct?
— P. 35, l. 15: Text in the margin.
— P. 36, l. 1: One should `glue’ togther “Example” and “1.1.24” with a tilde (~) in order to avoid the linebreak.
— P. 36, l. 14: No space between “identity” and the footnote mark.
— P. 39, l. 11: Text in the margin.
— P. 40, l. 10: One should `glue’ togther “Exercise” and “1.1.25(vi)” with a tilde (~) in order to avoid the linebreak.
[Thanks! Most of these types of changes should be implemented when the ms is professionally typeset for publication. -T.]
27 February, 2011 at 10:30 am
Anonymous
Prof. Tao, which course are you going to teach next semester? We can start to read some background material
Thanks
2 March, 2011 at 6:38 am
Terence Tao
I will be teaching 245C (real analysis) in the spring. However, I will be re-using my older notes (and now book) for this, which are already on the blog at https://terrytao.wordpress.com/category/teaching/245c-real-analysis/ or https://terrytao.wordpress.com/books/an-epsilon-of-room-pages-from-year-three-of-a-mathematical-blog/
2 March, 2011 at 5:55 pm
Anonymous
Prof. Tao,
Do you have any plan to teach grad level complex analysis? it would be great if you do so.
Thanks
27 February, 2011 at 6:15 pm
Mads
Here is the typos I found in the rest of chapter 1:
— P. 44, l. 8: Text in the margin.
— P. 44, l. 12 + 14 and p. 45, l. 4 + 5 + 10 + 12 + 18 + 19: Is it suppose to be a lowercase o?
— P. 46, l. 10 + 11 and p. 47, l. 5 + 6: I think dots between binary operators are suppose to be vertically centered. LaTeX often gets it right if one uses \dots (resp. \dot).
— P. 47, l. 13: “matrix(2.80)” –> “matrix (2.80)”.
— P. 49, l. 5: I think dots between relation symbols are suppose to be vertically centered. Again, LaTeX often gets it right if one uses \dots (resp. \dot).
— P. 49, l. 11: The “th” should not be in italic mode.
— P. 49, l. 11: Text in the margin.
— P. 50, l. -5 + -3 + -2 + -1 and p. 51, l. 6 + 12 + 20 + 21: I think dots between binary operators should be vertically centered.
— P. 52, l. 11 + 12: Shouldn’t there be a space immediately before the references?
— P. 52, l. 19 + 21 + 25 and p. 53, l. 4 + 8–10: The lowered dots.
— P.52 , l. -1: Two full stops after the reference.
— P. 54, l. 5: Remove “)”.
— P. 54, l. 13–15: The lowered dots.
— P. 54, l. 21: The lowered dots in the c^* expression.
— P. 55, l. 2: Missing a “(” (or a “)” too much).
— P. 57, l. -2 + -1: The subscript “op” should not be in italic mode.
— P. 58, l. 15: Space before reference and text in margin.
— P. 60, l. 20: The lowered dots.
— P. 60, l. 21: The lowered dots and text in margin.
— P. 61, l. 2–5 + 15 + 20 + 22 + 26 + 29: The lowered dots.
— P. 61, l. 7: The “th” should not be in italic mode.
— P. 61, l. -2: The subscript “op” should not be in italic mode. (Two times.)
— P. 62, l. 4: The lowered dots.
[Thanks, these corrections will be taken into consideration for the next revision. Incidentally, the o() notation is not a typo; see Definition 1.1.2. -T.]
27 February, 2011 at 6:18 pm
Mads
Oh, yes; sometimes you write lowercase o instead of a capital O. Is this correct?
1 March, 2011 at 7:00 am
Anonymous
Dear Mads,
Please consult any text on order notations. As Prof. Tao pointed out, even this text defines the big-oh and small-oh notation in def. 1.1.2 (asymptotic notation).
Also, note that this is is an advanced graduate text and so the reader is expected to have a minimum level of familiarity with probability, linear algebra, etc.
1 April, 2011 at 1:44 am
Florent Benaych-Georges
– page ix, line -3 : “will” -> “well”
– page 304 : confusions between N and n in X_n (and X_n)
Thanks a lot for letting the file in open access !
[Thanks, this will appear in the next revision. -T.]
15 April, 2011 at 3:28 pm
Topics in Random Matrix Theory | Ebooks Forge
[…] Author Links […]