D. Barilari, Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry, Journal of Mathematical Sciences, vol.136, issue.2, pp.391-432, 2013.
DOI : 10.1007/s10958-013-1585-1
URL : https://hal.archives-ouvertes.fr/hal-00672262

L. Boutet, Hypoelliptic operators with double characteristics and related pseudo-differential operators, Comm. Pure Applied Math, vol.27, pp.585-639, 1974.

L. Boutet-de-monvel and V. Guillemin, The spectral theory of Toeplitz operators, Annals of Mathematics Studies, vol.99, 1981.

Y. Colin-deverdì-ere, Sur le spectre des opérateursopérateurs`opérateursà géodésiques toutes périodiques, Comment. Math. helv, vol.54, pp.508-522, 1979.

Y. Colin-deverdì-ere, Calcul du spectre de certaines nilvariétés compactes de dimension 3, (French) [Calculation of the spectrum of some three-dimensional compact nilmanifolds, Séminaire de Théorie Spectrale et Géométrie (Grenoble), pp.1-6, 1983.

Y. Colin-deverdì-ere, Ergodicit??? et fonctions propres du laplacien, Communications in Mathematical Physics, vol.29, issue.3, pp.497-502, 1985.
DOI : 10.1007/BF01209296

Y. Colin-deverdì-ere, L. Hillairet, and E. Trélat, Quantum ergodicity and quantum limits for sub- Riemannian Laplacians, Séminaire Laurent Schwartz ? Equations aux dérivées partielles et applications, Exp. No. XX, 2014.

Y. Colin-deverdì-ere, L. Hillairet, and E. Trélat, Spectral asymptotics for sub-Riemannian Laplacians II: microlocal Weyl measures

Y. Colin-deverdì-ere, L. Hillairet, and E. Trélat, Spiraling of sR geodesics around the Reeb flow, 2017.

Y. Colin-deverdì-ere, J. Hilgert, and T. Weich, Irreducible representations of SL2(R) and the Peyresq's operators, Work in progress

V. J. Donnay, Geodesic flow on the two-sphere. II. Ergodicity, in: Dynamical systems, Lecture Notes in Math. 1342, pp.1986-87, 1988.

H. Duistermaat and &. L. Hörmander, Fourier integral operators. II, Acta Mathematica, vol.128, issue.0, pp.183-269, 1972.
DOI : 10.1007/BF02392165

H. Duistermaat and V. Guillemin, The spectrum of positive elliptic operators and periodic bicharacteristics, Inventiones Mathematicae, vol.197, issue.1, pp.39-79, 1975.
DOI : 10.1007/BF01405172

J. J. Duistermaat, Fourier integral operators, Progress in mathematics 130, 1996.

P. Foulon and B. Hasselblatt, Contact Anosov flows on hyperbolic 3???manifolds, Geometry & Topology, vol.17, issue.2, pp.1225-1252, 2013.
DOI : 10.2140/gt.2013.17.1225

L. Garding, T. Kotake, and J. Leray, Uniformisation et développement asymptotique de la solution du probì eme de Cauchy linéaire, ` a données holomorphes; analogie avec la théorie des ondes asymptotiques et approchées Probì eme de Cauchy, I bis et VI), Bull. Soc. Math. France, vol.92, pp.263-361, 1964.

B. Gaveau, Principe de moindre action, propagation de la chaleur et estimees sous elliptiques sur certains groupes nilpotents, Acta Mathematica, vol.139, issue.0, pp.95-153, 1977.
DOI : 10.1007/BF02392235

H. Geiges, An introduction to contact topology, Cambridge Studies in Advanced Mathematics, vol.109, 2008.
DOI : 10.1017/CBO9780511611438

P. Gérard and E. Leichtnam, Ergodic properties of eigenfunctions for the Dirichlet problem, Duke Math, J, vol.71, issue.2, pp.559-607, 1993.

C. Gordon and E. Wilson, The spectrum of the Laplacian on Riemannian Heisenberg manifolds, Michigan Math, J, vol.33, pp.253-271, 1986.

B. Helffer, A. Martinez, and D. Robert, Ergodicit??? et limite semi-classique, Communications in Mathematical Physics, vol.29, issue.2, pp.313-326, 1987.
DOI : 10.1007/BF01215225

A. Hassell and A. Vasy, Symbolic Functional Calculus and N-Body Resolvent Estimates, Journal of Functional Analysis, vol.173, issue.2, pp.257-283, 2000.
DOI : 10.1006/jfan.2000.3569
URL : http://doi.org/10.1006/jfan.2000.3569

L. Hörmander, Hypoelliptic second order differential equations, Acta Mathematica, vol.119, issue.0, pp.147-171, 1967.
DOI : 10.1007/BF02392081

L. Hörmander, The spectral function of an elliptic operator, Acta Mathematica, vol.121, issue.0, pp.193-218, 1968.
DOI : 10.1007/BF02391913

L. Hörmander, Fourier Integral Operators I, Acta Math, pp.79-183, 1971.

D. Jakobson, Quantum Limits on Flat Tori, The Annals of Mathematics, vol.145, issue.2, pp.235-266, 1997.
DOI : 10.2307/2951815
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.40.5256

D. Jakobson, Y. Safarov, and A. Strohmaier, The semiclassical theory of discontinuous systems and ray-splitting billiards, American Journal of Mathematics, vol.137, issue.4, pp.859-906, 2015.
DOI : 10.1353/ajm.2015.0027

D. Jakobson and S. Zelditch, Classical Limits of Eigenfunctions for Some Completely Integrable Systems, Math. Appl, vol.109, pp.329-354, 1996.
DOI : 10.1007/978-1-4612-1544-8_13

J. Karamata, Neuer Beweis und Verallgemeinerung einiger Tauberian-S???tze, Mathematische Zeitschrift, vol.33, issue.1, pp.294-299, 1931.
DOI : 10.1007/BF01174355

A. Kriegl and P. W. Michor, The convenient setting of global analysis, Mathematical Surveys and Monographs , 53, 1997.

D. Mcduff and D. Salamon, Introduction to symplectic topology, 1998.
DOI : 10.1090/pcms/007/02

R. B. Melrose, The wave equation for a hypoelliptic operator with symplectic characteristics of codimension two, Journal d'Analyse Math??matique, vol.10, issue.1, pp.134-182, 1984.
DOI : 10.1007/BF02790194

A. Menikoff and J. Sjöstrand, On the eigenvalues of a class of hypoelliptic operators, Mathematische Annalen, vol.1, issue.1, pp.55-85, 1978.
DOI : 10.1007/BF01421593

G. Métivier, Fonction spectrale et valeurs propres d'une classe d'operateurs non elliptiques, Communications in Partial Differential Equations, vol.7, issue.5, pp.467-519, 1976.
DOI : 10.1080/03605307608820018

R. Montgomery, Hearing the zero locus of a magnetic field, Communications in Mathematical Physics, vol.3, issue.np. 3, pp.651-675, 1995.
DOI : 10.1007/BF02101848

R. Montgomery, A tour of subriemannian geometries, their geodesics and applications, Mathematical Surveys and Monographs 91, 2002.

E. Nelson and N. J. , Topics in dynamics. I: flows, Mathematical Notes, 1969.

K. Petersen, Ergodic theory, Corrected reprint of the 1983 original, Cambridge Studies in Advanced Mathematics, vol.2, 1989.

N. Raymond and S. , G??om??trie et spectre pour les puits magn??tiques en dimsension 2, Annales de l???institut Fourier, vol.65, issue.1, pp.137-169, 2015.
DOI : 10.5802/aif.2927

A. I. Shnirelman, Ergodic properties of eigenfunctions, Uspehi Mat. Nauk, vol.29, issue.6180, pp.181-182, 1974.

A. I. Shnirelman, On the asymptotic properties of eigenfunctions in the regions of chaotic motion, in: V. Lazutkin, KAM theory and semiclassical approximations to eigenfunctions, Ergebnisse der Mathematik und ihrer Grenzgebiete, 1993.

A. Weinstein, Symplectic manifolds and their lagrangian submanifolds, Advances in Mathematics, vol.6, issue.3, pp.329-346, 1971.
DOI : 10.1016/0001-8708(71)90020-X
URL : http://doi.org/10.1016/0001-8708(71)90020-x

A. Weinstein, Fourier integral operators, quantization and the spectra of Riemannian manifolds, Géométrie symplectique et Physique Mathématique, pp.289-298, 1974.

A. Weinstein, Asymptotic of eigenvalues clusters for the Laplacian plus a potential, Duke Math, J, vol.44, pp.883-893, 1977.

S. Zelditch, Uniform distribution of eigenfunctions on compact hyperbolic surfaces, Duke Math, J, vol.55, pp.919-941, 1987.

S. Zelditch, Recent developments in mathematical quantum chaos, Current developments in mathematics, pp.115-204, 2009.

S. Zelditch and M. Zworski, Ergodicity of eigenfunctions for ergodic billiards, Communications in Mathematical Physics, vol.55, issue.6, pp.673-682, 1996.
DOI : 10.1007/BF02099513

M. Zworski, Semiclassical analysis, Graduate Studies in Mathematics, vol.138
DOI : 10.1090/gsm/138