International Congress of Mathematicians

742 S. Zelditch[11] V. F. Lazutkin, KAM theory and semiclassical approximations to eigenfunctions.With an addendum by A. I. Shnirelman. Ergebnisse der Alathematikund ihrer Grenzgebiete 24. Springer-Verlag, Berlin, 1993.[12] E. Lerman and N. Shirokova, Completely integrable torus actions on symplecticcones, Alath. Res. Letters 9 (2002), 105-116.[13] W. Luo and P. Sarnak, Ergodicity of eigenfunctions on SL(2, Z) \ H, II (inpreparation).[14] Nonnenmacher, S.; Voros, A. Chaotic eigenfunctions in phase space. J. Statist.Phys. 92 (1998), no. 3-4, 431-518.[15] G. Popov, Invariant tori, effective stability, and quasimodes with exponentiallysmallerror terms. I. Birkhoff normal forms, Ann. Henri Poincaré 1 (2000),223-248.[16] Z. Rudnick and P. Sarnak, The behaviour of eigenstates of arithmetic hyperbolicmanifolds. Comm. Alath. Phys. 161 (1994), no. 1, 195-213.[17] Yu. G. Safarov, Asymptotics of a spectral function of a positive elliptic operatorwithout a nontrapping condition, Funct. Anal. Appi. 22 (1988), no. 3, 213-223.[18] B. Shiffman and S. Zelditch, Distribution of zeros of random and quantumchaotic sections of positive line bundles. Comm. Alath. Phys. 200 (1999), no.3, 661-683.[19] B. Shiffman and S. Zelditch, Random polynomials with prescribed Newtonpolytope I (preprint, 2002).[20] C. Sogge and S. Zelditch, Riemannian manifolds with maximal eigenfunctiongrowth (Duke Alath J.).[21] T. Sunada, Quantum ergodicity. Progress in inverse spectral geometry, 175—196, Trends Alath., Birkhuser, Basel, 1997.[22] J. A. Toth and S. Zelditch, Riemannian manifolds with uniformly boundedeigenfunctions, Duke Alath. J. Ill (2002), 97-132.[23] J. A. Toth and S. Zelditch, L p estimates of eigenfunctions in the completelyintegrable case (preprint, 2002).[24] J. Al. VanderKam, L°° norms and quantum ergodicity on the sphere. IMRN 7(1997), 329-347.[25] S. A. Wolpert, The modulus of continuity for F 0 (m)\ll semi-classical limits.Comm. Alath. Phys. 216 (2001), no. 2, 313-323.[26] S. Zelditch, From random polynomials to symplectic geometry, in XHIth InternationalCongress of Mathematical Physics, International Press (2001), 367-376.[27] S. Zelditch, Quantum ergodicity of C* dynamical systems. Comm. Alath. Phys.177 (1996), no. 2, 507-528.[28] S. Zelditch, On the rate of quantum ergodicity. I. Upper bounds. Comm. Alath.Phys. 160 (1994), 81-92.[29] S. Zelditch, Szegö kernels and a theorem of Tian. IMRN 6 (1998), 317-331.[30] S. Zelditch and Al. Zworski, Ergodicity of eigenfunctions for ergodic billiards.Comm. Alath. Phys. 175 (1996), no. 3, 673-682.