33 citations · 215 across the 34 of their papers we have counts for
35 papers
Absence of free-time minimizers for N-body problems and a splitting theorem
Rotem Assouline, Marco Mazzucchelli
For the -body problem in dimension , we give an alternative proof of a theorem of da Luz and Maderna on the nonexistence of free-time minimizers defined on the entire r…
Klingenberg's theorem on Anosov geodesic flows
Rotem Assouline, Marco Mazzucchelli
In 1970, Klingenberg proved a fundamental result on closed Riemannian manifolds with Anosov geodesic flows, asserting that such manifolds are without conjugate points. The proof, b…
On flat translated chains of contactomorphisms of and
Marco Mazzucchelli, Sheila Sandon
We introduce the notions of flat translated chains of contactomorphisms and periodic flat translated chains of finite sequences of contactomorphisms, and extend to these notions th…
A general support theorem for analytic double fibration transforms
Marco Mazzucchelli, Mikko Salo, Leo Tzou
We develop a systematic approach for resolving the analytic wave front set for a class of integral geometry transforms appearing in various tomography problems. Combined with micro…
On the local maximizers of higher capacity ratios
Luca Baracco, Olga Bernardi, Christian Lange +1
We prove an analogue of the 4-dimensional local Viterbo conjecture for the higher Ekeland-Hofer capacities: on the space of 4-dimensional smooth star-shaped domains of unitary volu…
Barcode entropy of geodesic flows
Viktor L. Ginzburg, Basak Z. Gurel, Marco Mazzucchelli
We introduce and study the barcode entropy for geodesic flows of closed Riemannian manifolds, which measures the exponential growth rate of the number of not-too-short bars in the…