26 citations · 60 across the 13 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.SG2015★ 26 cited
Towards a dynamical interpretation of Hamiltonian spectral invariants on surfaces
Vincent Humilière, Frédéric Le Roux, Sobhan Seyfaddini
Inspired by Le Calvez' theory of transverse foliations for dynamical systems of surfaces, we introduce a dynamical invariant, denoted by N, for Hamiltonians of any surface other th…