Ian Frankel

activity

20172023

most citedSynthetically Non-Hermitian Nonlinear Wave-like Behavior in a Topological Mechanical Metamaterial

21 citations · 63 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.GT2020

Meromorphic $L^{2}$ functions on flat surfaces

Ian Frankel

We prove a quantitative version of the non-uniform hyperbolicity of the Teichmüller geodesic flow. Namely, at each point of any Teichmüller flow line, we bound the infinitesimal sp…

math.GT2018★ 2 cited

CAT(-1)-Type Properties for Teichmüller Space

Ian Frankel

We show that if Teichmüller geodesics spend enough time in the thick part of moduli space, they display CAT(-1)-type properties. In particular, they exponentially contract along st…

math.GT2017★ 1 cited

A Comparison of Period Coordinates and Teichmüller Distance

Ian Frankel

Let $Q D^{1} (M_{g, n})$ be the unit cotangent bundle of the moduli space of Riemann surfaces $M_{g, n}$ . There is a metric $d_{E}$ on $Q D^{1} (M_{g, n})$ that is…

Meromorphic L2 functions on flat surfaces

CAT(-1)-Type Properties for Teichmüller Space

A Comparison of Period Coordinates and Teichmüller Distance

Meromorphic $L^{2}$ functions on flat surfaces