Self-Inverses in Rauzy Classes,
PhD Thesis at Rice University
(
arXiv)
Self-Inverses, Lagrangian Permutations and Minimal Interval Exchange Transformations with Many Ergodic Measures,
Communications in Contemporary Mathematics, 16(1), 2014.
DOI: 10.1142/S0219199713500193
(
arXiv)
Topological mixing for some residual sets of interval exchange transformations,
Joint with
Jon Chaika,
Communications in Mathematical Physics, 333(1):483-503, 2015.
DOI 10.1007/s00220-014-2191-x.
(
arXiv)
A Combinatorial Proof of the Kontsevich-Zorich-Boissy Classification of Rauzy Classes,
Discrete and Continuous Dynamical Systems - Series A, 36(4):1983-2025, 2016.
DOI 10.3934/dcds.2016.36.1983
(
arXiv)
On the Number of Ergodic Measures for Minimal Shifts with Eventually Constant Complexity Growth,
Joint with
Michael Damron,
Ergodic Theory and Dynamical Systems, 37(3):2009-2130, 2017.
DOI 10.1017/etds.2015.138
(
arXiv)
On Rauzy Induction: An Answer to Bufetov's General Question,
Bulletin de la Société Mathématique de France, 145(4): 603-621, 2017.
DOI 10.24033/bsmf.2748
(
arXiv)
The Number of Ergodic Measures for Transitive Subshifts Under the Regular Bispecial Condition,
Joint with
Michael Damron,
Ergodic Theory and Dynamical Systems, 42(1):86-40, 2022.
DOI 10.1017/etds.2020.134
(
arXiv)
On Rauzy Induction: An Effective Answer to Bufetov's Question,
Discrete and Continuous Dynamical Systems, 43(12):4193-4222, 2023.
DOI 10.3934/dcds.2023084
(
arXiv)
