3 papers
math.DG2020
On evolution equations for Lie groupoids
Jean-Marie Lescure, Stéphane Vassout
Using the calculus of Fourier integral operators on Lie groupoids developped in [18], we study the fundamental solution of the evolution equation ( t + iP)u = 0…
math.OA2015
About the convolution of distributions on groupoids
Jean-Marie Lescure, Dominique Manchon, Stéphane Vassout
We review the properties of transversality of distributions with respect to submersions. This allows us to construct a convolution product for a large class of distributions on Lie…
math.GR2007
Uniform non-amenability, cost, and the first l^2-Betti number
Russell Lyons, Mikaël Pichot, Stéphane Vassout
It is shown that $2β_1(\G)\leq h(\G)$ for any countable group $\G$, where $β_1(\G)$ is the first -Betti number and $h(\G)$ the uniform isoperimetric constant. In particular…