This purpose of this page is to collect (online)
introductory/reference material that will hopefully be useful to
graduate students in the area of measurable and analytic group
theory and ergodic theory. I hope you find it useful. This is
a work-in-progress. Suggestions welcome!
Books
Ergodic Theory
Independence and Dichotomies by David Kerr and Hanfeng Li
Global Aspects
of Ergodic Group Actions by Alexander Kechris
Topics in
Orbit Equivalence by Alexander Kechris and Benjamin Miller
Kazhdan's
Property (T) by B. Bekka, P. de la Harpe and A. Valette
The topology
and geometry of 3-manifolds by William Thurston
Probability
on Trees and Networks by Russell Lyons and Yuval
Peres
Probability
and Geometry on Groups by Gabor Pete
Weak containment of
measure preserving group actions by Peter Burton and Alexander
Kechris
Introductory articles
Gibbs Measures and
Phase Transitions on Sparse Random Graphs by Amir
Dembo and Andrea Montanari
Hyperbolic
geometry by JAMES W. CANNON, WILLIAM J. FLOYD, RICHARD KENYON, AND
WALTER R. PARRY
Notes
on hyperbolic groups by Alonso et al
Videos
Invariant
Random Subgroups by Miklos Abert
Entropy theory
for actions of nonamenable groups by Lewis Bowen
Where the hard
things are by Andrea Montanari