3 papers
math.DS2026
Pushforward dynamics on Wasserstein spaces and measure rigidity
Douglas Finamore, André Magalhães de Sá Gomes, Christian S. Rodrigues
For an endomorphism of a closed Riemannian manifold , we study the pushforward action on the Wasserstein space at a measure preserved by .…
math.DS2025
A CAT(0)-approach to the marked length spectral rigidity of Sinai billiards
Douglas Finamore, Martin Leguil
We study the spectral rigidity problem for Sinai billiards with finite horizon, specifically asking whether the geometry of the billiard table can be recovered from the lengths of…
math.DS2023
Quasiconformal contact foliations
Douglas Finamore
We show that every quasiconformal contact foliation supports an invariant metric and characterise such foliations by the dynamical property of -equicontinuity. We prove that a…