5 papers
Universal lower bounds for the discrepancies of actions of a locally compact group
Antoine Pinochet Lobos, Christophe Pittet
We prove universal lower bounds for discrepancies (i.e. sizes of spectral gaps of averaging operators) of measure-preserving actions of a locally compact group on probability space…
Radial rapid decay does not imply rapid decay
Adrien Boyer, Antoine Pinochet Lobos, Christophe Pittet
We provide a new, dynamical criterion for the radial rapid decay property. We work out in detail the special case of the group , where $A := \mathbb{F}_q[X,X^…
On a generalization of the Howe-Moore property
Antoine Pinochet Lobos
We define a Howe-Moore property relative to a set of subgroups. Namely, a group has the Howe-Moore property relative to a set of subgroups if for every unitary re…
On the optimality of the Monte-Carlo estimator
Antoine Pinochet Lobos
We prove that on an atomless probability space, the worst-case mean squared error of the Monte-Carlo estimator is minimal if the random points are chosen independently.
An ergodic theorem for the quasi-regular representation of the free group
Adrien Boyer, Antoine Pinochet Lobos
In \cite{BAMU}, an ergodic theorem à la Birkhoff-von Neumann for the action of the fundamental group of a compact negatively curved manifold on the boundary of its universal cover…