46 citations · 131 across the 23 of their papers we have counts for
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Short loop decompositions of surfaces and the geometry of Jacobians
Florent Balacheff, Hugo Parlier, Stéphane Sabourau
Given a Riemannian surface, we consider a naturally embedded graph which captures part of the topology and geometry of the surface. By studying this graph, we obtain results in thr…
Systolic volume of homology classes
Ivan K. Babenko, Florent Balacheff
Given an integer homology class of a finitely presentable group, the systolic volume quantifies how tight could be a geometric realization of this class. In this paper, we study va…
Optimalité systolique infinitésimale de l'oscillateur harmonique
Juan-Carlos Álvarez Paiva, Florent Balacheff
We study the infinitesimal aspects of the following problem. Let H be a Hamiltonian of \R^{2n} whose energy surface {H=1} encloses a compact starshaped domain of volume equal to th…