4 papers
Metric-uniform spectral inequality for the Laplacian on manifolds with bounded sectional curvature
Alix Deleporte, Jean Lagacé, Marc Rouveyrol
Given a Riemannian manifold endowed with a smooth metric satisfying upper and lower sectional curvature bounds, we show an equivalence property between the n…
Canonical foliation of bubblesheets
Jean Lagacé, Stephen Lynch
We introduce a new curvature condition for high-codimension submanifolds of a Riemannian ambient space, called quasi-parallel mean curvature (QPMC). The class of submanifolds with…
Sharp density discrepancy for cut and project sets: An approach via lattice point counting
Henna Koivusalo, Jean Lagacé, Michael Björklund +1
Cut and project sets are obtained by taking an irrational slice of a lattice and projecting it to a lower dimensional subspace, and are fully characterised by the shape of the slic…
Spectral decomposition and Siegel-Veech transforms for strata: The case of marked tori
Jayadev Athreya, Jean Lagacé, Martin Möller +1
Generalizing the well-known construction of Eisenstein series on the modular curves, Siegel-Veech transforms provide a natural construction of square-integrable functions on strata…