38 citations · 254 across the 22 of their papers we have counts for
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math.SG2018★ 15 cited
Barcodes and area-preserving homeomorphisms
Frédéric Le Roux, Sobhan Seyfaddini, Claude Viterbo
In this paper we use the theory of barcodes as a new tool for studying dynamics of area-preserving homeomorphisms. We will show that the barcode of a Hamiltonian diffeomorphism of…
math.SG2018★ 38 cited
The action spectrum and C^0 symplectic topology
Lev Buhovsky, Vincent Humilière, Sobhan Seyfaddini
Our first main result states that the spectral norm on the group of Hamiltonian diffeomorphisms, introduced in the works of Viterbo, Schwarz and Oh, is continuous with respect to t…