PreprintCC BY 4.0HAL
ALMOST EVERY PAIR OF INTERVAL EXCHANGE TRANSFORMATIONS DOES NOT GENERATE A FREE GROUP
Abstract
We show that the Lebesgue measure of the set of pairs of interval exchange transformations that generate a free group of rank $2$ is zero.
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BibTeX
@misc{gouezel2026almost,
title = {{ALMOST EVERY PAIR OF INTERVAL EXCHANGE TRANSFORMATIONS DOES NOT GENERATE A FREE GROUP}},
author = {Sébastien Gouëzel},
howpublished = {HAL},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29993},
eprint = {2610.29993},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05828565v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - ALMOST EVERY PAIR OF INTERVAL EXCHANGE TRANSFORMATIONS DOES NOT GENERATE A FREE GROUP
AU - Sébastien Gouëzel
PY - 2026
DA - 2026/10/21
PB - HAL
DO - 10.48550/arxiv.2610.29993
UR - https://hal.science/hal-05828565v1
AB - We show that the Lebesgue measure of the set of pairs of interval exchange transformations that generate a free group of rank $2$ is zero.
ER -