21 citations · 63 across the 7 of their papers we have counts for
7 papers
Dependence of the kinetic energy absorption capacity of bistable mechanical metamaterials on impactor mass and velocity
Ryan Fancher, Ian Frankel, Kyle Chin +7
Using an alternative mechanism to dissipation or scattering, bistable structures and mechanical metamaterials have shown promise for mitigating the detrimental effects of impact by…
Strain topological metamaterials
Florian Allein, Adamantios Anastasiadis, Rajesh Chaunsali +4
Topological physics has revolutionised materials science, introducing topological insulators and superconductors with applications from smart materials to quantum computing. Bulk-b…
Synthetically Non-Hermitian Nonlinear Wave-like Behavior in a Topological Mechanical Metamaterial
Haning Xiu, Ian Frankel, Harry Liu +6
Topological mechanical metamaterials have enabled new ways to control stress and deformation propagation. Exemplified by Maxwell lattices, they have been studied extensively using…
Duality of Topological Edge States in a Mechanical Kitaev Chain
Florian Allein, Rajesh Chaunsali, Adamantios Anastasiadis +4
We theoretically investigate and experimentally demonstrate the existence of topological edge states in a mechanical analog of the Kitaev chain with a non-zero chemical potential.…
Meromorphic 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…
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…
A Comparison of Period Coordinates and Teichmüller Distance
Ian Frankel
Let be the unit cotangent bundle of the moduli space of Riemann surfaces . There is a metric on that is…