Ergodic theory of interval exchange maps.

Viana, Marcelo. "Ergodic theory of interval exchange maps.." Revista Matemática Complutense 19.1 (2006): 7-100. <http://eudml.org/doc/40876>.

@article{Viana2006,
abstract = {A unified introduction to the dynamics of interval exchange maps and related topics, such as the geometry of translation surfaces, renormalization operators, and Teichmüller flows, starting from the basic definitions and culminating with the proof that almost every interval exchange map is uniquely ergodic. Great emphasis is put on examples and geometric interpretations of the main ideas.},
author = {Viana, Marcelo},
journal = {Revista Matemática Complutense},
keywords = {Teoría ergódica; Sistemas dinámicos hiperbólicos; interval exchange map; translation surface; Abelian differential; Teichmüller flow},
language = {eng},
number = {1},
pages = {7-100},
title = {Ergodic theory of interval exchange maps.},
url = {http://eudml.org/doc/40876},
volume = {19},
year = {2006},
}

TY - JOUR
AU - Viana, Marcelo
TI - Ergodic theory of interval exchange maps.
JO - Revista Matemática Complutense
PY - 2006
VL - 19
IS - 1
SP - 7
EP - 100
AB - A unified introduction to the dynamics of interval exchange maps and related topics, such as the geometry of translation surfaces, renormalization operators, and Teichmüller flows, starting from the basic definitions and culminating with the proof that almost every interval exchange map is uniquely ergodic. Great emphasis is put on examples and geometric interpretations of the main ideas.
LA - eng
KW - Teoría ergódica; Sistemas dinámicos hiperbólicos; interval exchange map; translation surface; Abelian differential; Teichmüller flow
UR - http://eudml.org/doc/40876
ER -