From Conformal Invariants to Percolation: Homework


Math 219 - Harvard University

Homework is due on Tuesday by 12:00 pm. Assignments must be submitted by email to the teaching assistant.

Problems appear in the course notes. Be sure to refer to the current version of the course notes, since these notes are constantly evolving.

Your are encouraged to work with others, but you must cite your collaborators and references.


Readings refer to course notes, texts and papers listed in the syllabus. Course notes refers to the notes above.
Week Reading Homework Solutions
1: 26 Jan Ahlfors, CIT, Ch 1
McMullen, ACA, Ch 4
- -
2: 2 Feb Course Notes Ch 2
Ahlfors, CIT, Ch 1
McMullen, ACA, Ch 4
Nehari, Ch 8
Turn in any 5 of Problems 1,4,5,6,7,9,10
Due Tu, Feb 9, 12pm
SOLN
3: 9 Feb Coures Notes Ch 2
Ahlfors, CIT, Ch 1
McMullen, ACA, Ch 4
Nehari, Ch 8
- -
4: 16 Feb Course Notes, Ch 3
Ahlfors, CIT, Ch 2
Ahlfors, BCA, 4.6, 6.3, 6.4
Problems 18, 19, 20, 21, 24, 25.
Due Tu, Feb 23, 12pm
SOLN
5: 23 Feb Course Notes, Ch 3, 4
Ahlfors, CIT, Ch 2,3
- -
6: 2 Mar Course Notes, 4, 5
Ahlfors, CIT, Ch 2, 3
Problems 26, 28, 29, 30, 32, 35, 36.
Due Tu, Mar 9, 12pm.
SOLN
7: 9 Mar Course Notes, 5, 6
Ahlfors, CIT, Ch 2, 4
- -
8: 16 Mar
No class Tue
Course Notes, 5
Ahlfors, CIT, Ch 4
Problems 39, 40, 41, 43, 45, 47, 48
Due Tu, Mar 23, 12pm.
SOLN
9: 23 Mar Course Notes, 6
Dynkin-Yushkevich, Ch. I
- -
10: 30 Mar Course Notes, 6, 7
Dynkin-Yushkevich, Ch. I.
Problems 51, 52, 54, 55, 56, 57, 58.
Due Tu, Apr 6, 12pm.
SOLN
11: 6 Apr Course Notes, 8, 9
Dynkin-Yushkevich, Ch. I.
- -
12: 13 Apr
No class Th
Course Notes, 9, 10
Dynkin-Yushkevich, Ch. II.
Problems 60, 63, 65, 66, 68, 69, 70.
Due Th, April 22, 12pm.
SOLN
13: 20 Apr Course Notes 10, 11
Bollabas-Riordan, Ch. 3, Ch. 7
- -
14: 27 Apr
No class Th
Course Notes 11
Bollabas-Riordan, Ch. 7
Problem 74 (optional, but recommended).
Due Tu, May 4, 12pm.
SOLN -

Return to course homepage