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20122024
most citedRecurrent Weil-Petersson geodesic rays with non-uniquely ergodic ending laminations

8 citations · 14 across the 4 of their papers we have counts for

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7 papers · 1 filter

math.GT2024

Thurston geodesics: no backtracking and active intervals

Anna Lenzhen, Babak Modami, Kasra Rafi +1

We develop the notion of the active interval for a subsurface along a geodesic in the Thurston metric on Teichmuller space of a surface S. That is, for any geodesic in the Thurston…

math.GT2020

Bottlenecks for Weil-Petersson geodesics

Yair Minsky, Babak Modami

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 the st…

math.GT2017

Limit sets of Weil-Petersson geodesics with nonminimal ending laminations

Jeffrey Brock, Christopher Leininger, Babak Modami +1

In this paper we construct examples of Weil-Petersson geodesics with nonminimal ending laminations which have 1-dimensional limit sets in the Thurston compactification of Teichmüll…

math.GT2016

Limit sets of Weil-Petersson geodesics

Jeffrey Brock, Christopher Leininger, Babak Modami +1

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 Teichmüll…

math.GT2016★ 3 cited

Teichmueller geodesics with d-dimensional limit sets

Anna Lenzhen, Babak Modami, Kasra Rafi

We construct an example of a Teichmueller geodesic ray whose limit set in Thurston boundary of Teichmueller space is a d-dimensional simplex.

math.GT2014★ 8 cited

Recurrent Weil-Petersson geodesic rays with non-uniquely ergodic ending laminations

Jeffrey Brock, Babak Modami

We construct Weil-Petersson (WP) geodesic rays with minimal filling non-uniquely ergodic ending lamination which are recurrent to a compact subset of the moduli space of Riemann su…

math.GT2012

Prescribing the behavior of Weil-Petersson geodesics in the moduli space of Riemann surfaces

Babak Modami

We study Weil-Petersson (WP) geodesics with narrow end invariant and develop techniques to control length-functions and twist parameters along them and prescribe their itinerary in…