52
(KH95)
(LGA)
(Liv04)
(Mar02)
(MS98)
(Non08)
(RS72)
(RS78)
(Rue91)
(Rue95)
(Sni74)
(Taylla]
(Tayllb]
(TsulO)
(Tsu12)
(CdV85]
(Woo92]
(Zel87]
(Zwo12]
FRÉDÉRIC FAURE
A. KATOK & B. HASSELBLATT - Introduction to the modern theory of dynamical systems, Encyclopedia of Mathematics and its Applications, vol. 54,
Cambridge University Press, Cambridge, 1995.
J. LEYS, É. GHYS & A. ALVAREZ - «Chaos», Videos, http://www.
chaos-math.org/fr.
C. LIVERANI - «On contact Anosov flows », Ann. of Math. (2) 159 (2004),
no. 3, p. 1275-1312.
A. MARTINEZ - An introduction to semiclassical and microlocal analysis, Universitext, Springer-Verlag, New York, 2002.
D. McDUFF & D. SALAMON - Introduction to symplectic topology, 2 8 éd.,
Oxford Mathematical Monographs, The Clarendon Press, Oxford University
Press, New York, 1998.
S. NONNENMACHER - «Sorne open questions in 'wave chaos'», Nonlinearity
21 (2008), no. 8, p. T113-T121.
M. REED & B. SIMON - Methods of modern mathematical physics. I. F'unctional analysis, Academic Press, New York-London, 1972.
___ , Methods of modern mathematical physics. IV. Analysis of operators,
Academic Press, New York-London, 1978.
D. RUELLE - Hasard et chaos, Odile Jacob, 1991.
___ , Turbulence, strange attractors, and chaos, World Scientific Series
on Nonlinear Science. Series A : Monographs and Treatises, vol. 16, World
Scientific Publishing Co., Inc., River Edge, NJ, 1995.
A. 1. SNIREL 1 MAN - « Ergodic properties of eigenfunctions », Uspehi Mat.
Naule 29 (1974), no. 6(180), p. 181-182.
M. E. TAYLOR - Partial differential equations I. Basic theory, 2e éd., Applied
Mathematical Sciences, vol. 115, Springer, New York, 2011.
___ , Partial differential equations II. Qualitative studies of linear equations, 2 8 éd., Applied Mathematical Sciences, vol. 116, Springer, New York,
2011.
M. Tsum - « Quasi-compactness of transfer operators for contact Anosov
flows », Nonlinearity 23 (2010), no. 7, p. 1495-1545.
___ , « Contact Anosov flows and the Fourier-Bros-Iagolnitzer transform »,
Ergodic Theory Dynam. Systems 32 (2012), no. 6, p. 2083-2118.
Y. COLIN DE VERDIÈRE - «Ergodicité et fonctions propres du laplacien»,
Comm. Math. Phys. 102 (1985), no. 3, p. 497-502.
N. M. J. WOODHOUSE - Geometric quantization, 2 8 éd., Oxford Mathematical
Monographs, The Clarendon Press, Oxford University Press, New York, 1992,
Oxford Science Publications.
S. ZELDITCH - « Uniform distribution of eigenfunctions on compact hyperbolic
surfaces», Duke Math. J. 55 (1987), no. 4, p. 919-941.
M. ZWORSKI - Semiclassical analysis, Graduate Studies in Mathematics, vol.
138, American Mathematical Society, Providence, RI, 2012.
Index
analyse micro-locale, 16
analyse semi-classique, 16
Anosov, 30
chaos quantique, 39
coefficient d'instabilité de Lyapounov, 33
collapse de la fonction d'onde, 17
connexion de Levi-Civita, 10
cat map, 37
(KH95)
(LGA)
(Liv04)
(Mar02)
(MS98)
(Non08)
(RS72)
(RS78)
(Rue91)
(Rue95)
(Sni74)
(Taylla]
(Tayllb]
(TsulO)
(Tsu12)
(CdV85]
(Woo92]
(Zel87]
(Zwo12]
FRÉDÉRIC FAURE
A. KATOK & B. HASSELBLATT - Introduction to the modern theory of dynamical systems, Encyclopedia of Mathematics and its Applications, vol. 54,
Cambridge University Press, Cambridge, 1995.
J. LEYS, É. GHYS & A. ALVAREZ - «Chaos», Videos, http://www.
chaos-math.org/fr.
C. LIVERANI - «On contact Anosov flows », Ann. of Math. (2) 159 (2004),
no. 3, p. 1275-1312.
A. MARTINEZ - An introduction to semiclassical and microlocal analysis, Universitext, Springer-Verlag, New York, 2002.
D. McDUFF & D. SALAMON - Introduction to symplectic topology, 2 8 éd.,
Oxford Mathematical Monographs, The Clarendon Press, Oxford University
Press, New York, 1998.
S. NONNENMACHER - «Sorne open questions in 'wave chaos'», Nonlinearity
21 (2008), no. 8, p. T113-T121.
M. REED & B. SIMON - Methods of modern mathematical physics. I. F'unctional analysis, Academic Press, New York-London, 1972.
___ , Methods of modern mathematical physics. IV. Analysis of operators,
Academic Press, New York-London, 1978.
D. RUELLE - Hasard et chaos, Odile Jacob, 1991.
___ , Turbulence, strange attractors, and chaos, World Scientific Series
on Nonlinear Science. Series A : Monographs and Treatises, vol. 16, World
Scientific Publishing Co., Inc., River Edge, NJ, 1995.
A. 1. SNIREL 1 MAN - « Ergodic properties of eigenfunctions », Uspehi Mat.
Naule 29 (1974), no. 6(180), p. 181-182.
M. E. TAYLOR - Partial differential equations I. Basic theory, 2e éd., Applied
Mathematical Sciences, vol. 115, Springer, New York, 2011.
___ , Partial differential equations II. Qualitative studies of linear equations, 2 8 éd., Applied Mathematical Sciences, vol. 116, Springer, New York,
2011.
M. Tsum - « Quasi-compactness of transfer operators for contact Anosov
flows », Nonlinearity 23 (2010), no. 7, p. 1495-1545.
___ , « Contact Anosov flows and the Fourier-Bros-Iagolnitzer transform »,
Ergodic Theory Dynam. Systems 32 (2012), no. 6, p. 2083-2118.
Y. COLIN DE VERDIÈRE - «Ergodicité et fonctions propres du laplacien»,
Comm. Math. Phys. 102 (1985), no. 3, p. 497-502.
N. M. J. WOODHOUSE - Geometric quantization, 2 8 éd., Oxford Mathematical
Monographs, The Clarendon Press, Oxford University Press, New York, 1992,
Oxford Science Publications.
S. ZELDITCH - « Uniform distribution of eigenfunctions on compact hyperbolic
surfaces», Duke Math. J. 55 (1987), no. 4, p. 919-941.
M. ZWORSKI - Semiclassical analysis, Graduate Studies in Mathematics, vol.
138, American Mathematical Society, Providence, RI, 2012.
Index
analyse micro-locale, 16
analyse semi-classique, 16
Anosov, 30
chaos quantique, 39
coefficient d'instabilité de Lyapounov, 33
collapse de la fonction d'onde, 17
connexion de Levi-Civita, 10
cat map, 37