Graph towers, laminations and their invariant measures

N Bédaride, A Hilion, M Lustig - Journal of the London …, 2020 - Wiley Online Library
In this paper we present a combinatorial machinery, consisting of a graph tower Γ← and
vector towers v← on Γ←, which allows us to efficiently describe all invariant measures μ= μ …

Divergent geodesics in the Universal Teichm\" uller space

X Dong, H Hakobyan - arXiv preprint arXiv:2307.02775, 2023 - arxiv.org
Thurston boundary of the universal Teichm\" uller space $ T (\mathbb {D}) $ is the space $
PML_ {bdd}(\mathbb {D}) $ of projective bounded measured laminations of $\mathbb {D} …

[PDF][PDF] Teichmüller geodesics with d-dimensional limit sets

A Lenzhen, B Modami, K Rafi - arXiv preprint arXiv:1608.07945, 2016 - arxiv.org
arXiv:1608.07945v2 [math.GT] 4 Mar 2018 Page 1 TEICHMULLER GEODESICS WITH d-DIMENSIONAL
LIMIT SETS ANNA LENZHEN, BABAK MODAMI, AND KASRA RAFI Abstract. We construct an …

Limit sets of Weil–Petersson geodesics

J Brock, C Leininger, B Modami… - International Mathematics …, 2019 - academic.oup.com
In this paper we prove that the limit set of any Weil–Petersson geodesic ray with uniquely
ergodic ending lamination is a single point in the Thurston compactification of Teichmüller …

A Thurston boundary and visual sphere of the universal Teichmüller space

H Hakobyan, D Šarić - Journal d'Analyse Mathématique, 2021 - Springer
A Thurston boundary of the universal Teichmüller space T (ⅅ) is the space PML bdd (ⅅ) of
projective bounded measured laminations of ⅅ. A geodesic ray in T (ⅅ) is of generalized …

Bottlenecks for weil-petersson geodesics

Y Minsky, B Modami - Advances in Mathematics, 2021 - Elsevier
We introduce a method for constructing Weil-Petersson (WP) geodesics with certain
behavior in the Teichmüller space. This allows us to study the itinerary of geodesics among …