Oscar E. Lanford III

Address

Email: oscar.lanford@math.ethz.ch
Office phone: +41-1-632-3390
Secretary: +41-1-632-3431 (Mrs. Buchmann)
Fax: +41-1-632-1085
Office: HG G 48.1

Mailing address:

Department of Mathematics

Meine Vorlesung Anwendungsorientierte Mengenlehre WS 2003/2004.

In connection with my course on ergodic theory (Summer semester 2003)

Course announcement (pdf)
Some references (pdf)
Exercises, Series 1 (PostScript)
Exercises, Series 2 (PostScript)
Poincare recurrence (PostScript)
The pointwise ergodic theorem (PostScript)
Entropy (fragments) (PostScript) Revised 26 June 2003, Shannon-McMillan-Breiman theorem added
Some methods from probability theory (PostScript)

Notes for my course on topics in functional analysis (Summer semester 2001):

Section 1: The Riesz-Markov theorem (Version of 09.07.2001): (PostScript, 194KB)
Section 2: Locally convex spaces (Version of 31.05.2001): (PostScript, 127KB)
Section 3: Integral representations in compact convex sets (Version of 09.07.2001): (PostScript, 116KB)
Section 4: Semigroups of operators on Banach spaces (Version of 02.07.2001; hopefully nearly final): (PostScript, 104KB)

Some preprints:

Statistical mechanical methods and continued fractions, with L. Ruedin (Helv Phys Acta 69 (1996) 908-948.)
Some informal remarks on the orbit structure of discrete approximations to chaotic maps. (Experimental Mathematics 7:4 (1998) 317-324.)

See also research project summaries and short biography.

Lecture notes on dynamical systems:

I am posting here slightly revised versions of some notes I distributed to the students in my course on dynamical systems in Winter Semester 1991. I emphasize that these notes are not in polished final form.

Part I: Preliminaries (PostScript, 212KB)
Part 2: Invariant manifolds (PostScript, 596KB)