Schedule

All the meetings will be taking place from 11-12:30, on Mondays, in the room 3721 in Lindstedsvägen 25. List of meetings (more details coming soon)

	Topic and lecturer	Suggested reading	Extra material
Lecture 1 Feb 3	Introduction (Danijela Damjanovic)	Terry Tao's blog Links to an external site.
Lecture 2 Feb 10	Central limit theorem and cohomology (Minsung Kim) Note 1 Download Note 1, Exercise 1 Download Exercise 1.	Viana's survey Download Viana's survey Liverani's paper Links to an external site.	Theory of Probabilty and Stochastic process (text) Download Theory of Probabilty and Stochastic process (text)
Lecture 3 Feb 17	Central limit theorem and cohomology (Minsung Kim) Note 2 Download Note 2, Exercise 2 Download Exercise 2.	Le Borgne's paper Download Le Borgne's paper Book: Ch. 5 Links to an external site.	Gorodnik & Spatzier Links to an external site. Gordin's proof Links to an external site.
This lecture is moved to March 17!! Lecture 4 Feb 24	No lecture
Deadline to choose topic of presentation: Feb 25.
Lecture 5 Mar 10	Sven Sandfeldt TBA
Lecture 6 Mar 17	Time-change flow and its properties (Minsung Kim) Note 3 Download Note 3, Exercise 3 Download Exercise 3.	Book: Ch. 2 Humphrie's thesis Download Humphrie's thesis	Daren, Lindenstrauss Links to an external site. Daren, Kurt, Adam Links to an external site.
Lecture 7 Mar 24	Time-change flow and weak-mixing (Minsung Kim) Note 4 Download Note 4, Exercise 4 Download Exercise 4.	Bassam's paper: weak mixing Links to an external site. Tao's blog: weak mixing Links to an external site.	Bassam's paper: mixing Links to an external site.
Lecture 8 Mar 31	Green-Wallach conjecture (Sven Sandfeldt) Note Download Note.
Lecture 9 Apr 7	Higher rank actions and cohomology (Minsung Kim) Note 5 Download Note 5, Exercise 5 Download Exercise 5.	Gorodnik & Spatzier's paper 2 Links to an external site.	Lemma 3 (Katznelson) Download Lemma 3 (Katznelson)
Lecture 10 Apr 14	NO LECTURE
Lecture 11 Apr 28	Jianhao Guo CLT for abelian actions	CLT for abelian actions	notes clt for commuting transformations.pdf Download notes clt for commuting transformations.pdf goldin 2009.pdf Download goldin 2009.pdf what can be the limit in the clt.pdf Download what can be the limit in the clt.pdf cdv 2016.pdf Download cdv 2016.pdf volny 2015.pdf Download volny 2015.pdf
Lecture 12 May 5	Kirthana Rajasekar Cohomological equations and invariant distributions for circle diffeomorphisms Note Download Note	Paper by Avila-Kocsard Links to an external site.	One-dimensional Dynamics, W. De Melo and S. Van Strien. (Chapter 1.1-1.3)
Lecture 13 May 14 at 10:00 (Wednesday!) room 3721	Rasmus Jouttijärvi	Thermostat cocycles Notes: Thermostats_and_vortices.pdf Download Thermostats_and_vortices.pdf	vortices-over-riemann-surfaces-and-dominated-splittings.pdf Download vortices-over-riemann-surfaces-and-dominated-splittings.pdf Wojtkowski.pdf Download Wojtkowski.pdf
Last meeting 11-14, lunch included May 26	Transfer operator and its application (Clara Spector) & Discussion of problems/questions Note Download Note	Sarig's note Links to an external site.	Limit theorem Links to an external site.