Quantum unique ergodicity for SL2(Z){double struck}\H{double struck}

Annals of Mathematics

Volumn 172, Issue 2, 2010, Pages 1529-1538

  Soundararajan, Kannan ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957716774     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. P. Dusart, Autour de la fonction qui compte le nombre de nombre premiers, 1998, e-print. Available at http://www.unilim.fr/laco/theses/1998/T1998_01.pdf
2. R. Holowinsky, Sieving for mass equidistribution, Ann. of Math. 172 (2010), 1499-1516.
3. R. Holowinsky and K. Soundararajan, Mass equidistribution of Hecke eigenforms, Ann. of Math. 172 (2010), 1517-1528.
4. H. Iwaniec, Spectral Methods of Automorphic Forms, second ed., Grad. Stud. Math. 53, Amer. Math. Soc., Providence, RI, 2002.
5. 2(R)\, Ann. Inst. Fourier (Grenoble) 44 (1994), 1477-1504.
6. E. Lindenstrauss, Adelic dynamics and arithmetic quantum unique ergodicity, in Current Developments in Mathematics, 2004, Int. Press, Somerville, MA, 2006, pp. 111-139.
7. E. Lindenstrauss, Invariant measures and arithmetic quantum unique ergodicity, Ann. of Math. 163 (2006), 165-219.
8. 2, Inst. Hautes Études Sci. Publ. Math. (1995), 207-237.
9. J. Marklof, Arithmetic quantum chaos, in Encyclopedia of Math. Phys. (J.-P. Francoise, G. L. Naber, and S. T. Tsou, eds.), vol. 1, Elsevier Science, Oxford, 2006, pp. 212-220.
10. Z. Rudnick and P. Sarnak, The behaviour of eigenstates of arithmetic hyperbolic manifolds, Comm. Math. Phys. 161 (1994), 195-213.
11. P. Sarnak, Arithmetic quantum chaos, in The Schur Lectures (1992) (Tel Aviv), Israel Math. Conf. Proc. 8, Bar-Ilan Univ., Ramat Gan, 1995, pp. 183-236.
12. K. Soundararajan, Weak subconvexity for central values of L-functions, Ann. of Math. 172 (2010), 1469-1498.
13. T. C. Watson, Rankin triple products and quantum chaos, ProQuest LLC, Ann Arbor, MI, 2002, Thesis (Ph.D.), Princeton University.
14. S. Zelditch, Mean Lindelöf hypothesis and equidistribution of cusp forms and Eisenstein series, J. Funct. Anal. 97 (1991), 1-49.