Michel Rumin : research papers.
"Topological and dynamical
aspects of some spectral invariants of contact manifolds with circle
action"
Preprint 2024.
"On the lq,p cohomology of Carnot groups" with
Pierre Pansu. Annales Henri Lebesgue, Volume 1 (2018),
p. 267-295.
DOI 10.5802/ahl.8.
"An entropic uncertainty principle for positive operator
valued measures" Letters in Mathematical Physics, vol. 100
(3) (2012), p. 291-308.
"Balanced distribution-energy inequalities and related
entropy bounds" Duke Math. Journal, vol. 160 (3) (2011),
p. 567-597.
"Spectral density and Sobolev inequalities for pure and mixed
states" GAFA, vol. 20 (3) (2010), p. 817-844.
"Around a Sobolev-Orlicz inequality for operators of given
spectral density" Notes 2009, 16 pages.
"Analytic torsions on contact manifolds" with Neil
Seshadri. Annales de l'Institut Fourier, vol. 62 (2) (2012),
p. 727-782.
"Diabatic limit, eta invariants and Cauchy-Riemann manifolds of
dimension 3"
with Olivier Biquard and Marc Herzlich. Annales Sc. de l'ENS, vol. 40
(4) (2007), p. 589-631.
"An introduction to spectral and differential geometry in
Carnot-Carathéodory spaces"
Conference Proceedings. 24th Winter School 'Geometry and Physics',
Srni, January 2004. Published in Rendiconti del Circolo Matematico di
Palermo. Serie II, Suppl. 75 (2005), p. 139-196.
"Around heat decay on forms and relations of nilpotent Lie
groups"
Actes du Séminaire de Théorie Spectrale et
Géométrie de Grenoble, vol 19 (2001), p. 123-164.
"Sub-Riemannian limit of the differential form spectrum of contact
manifolds"
GAFA, vol 10 (2000), p. 407-452.
"Differential geometry on C-C spaces and application to the
Novikov-Shubin numbers of nilpotent Lie groups"
Comptes Rendus de l'Académie des Sciences, t. 329 (1999), p. 985-990.
"Un complexe de formes différentielles sur les variétés de contact"
Comptes Rendus de l'Académie des Sciences, t.310 (1990), p. 401-404.