-
1
-
-
0000773323
-
Universal signatures of quantum chaos
-
R. Aurich, J. Bolte and F. Steiner, Universal signatures of quantum chaos, Phys. Rev. Lett. 73, no. 10, 1356-1359 (1994).
-
(1994)
Phys. Rev. Lett.
, vol.73
, Issue.10
, pp. 1356-1359
-
-
Aurich, R.1
Bolte, J.2
Steiner, F.3
-
2
-
-
0011616427
-
The "Large Sieve" method and its applications in the theory of numbers
-
M.B. Barban, The "Large Sieve" method and its applications in the theory of numbers, Russian Math. Surveys 21 , 49-103 (1966).
-
(1966)
Russian Math. Surveys
, vol.21
, pp. 49-103
-
-
Barban, M.B.1
-
3
-
-
0001511611
-
Semiclassical theory of spectral rigidity
-
M.V. Berry, Semiclassical theory of spectral rigidity, Proc. Roy. Soc. London Ser. A 400, no. 1819, 229-251 (1985).
-
(1985)
Proc. Roy. Soc. London Ser. A
, vol.400
, Issue.1819
, pp. 229-251
-
-
Berry, M.V.1
-
4
-
-
26844474900
-
-
Stochastic processes in classical and quantum systems (Ascona), Lecture Notes in Phys., Springer, Berlin
-
M.V. Berry, Fluctuations in numbers of energy levels, Stochastic processes in classical and quantum systems (Ascona, 1985), 47-53, Lecture Notes in Phys., 262, Springer, Berlin, 1986.
-
(1985)
Fluctuations in Numbers of Energy Levels
, vol.262
, pp. 47-53
-
-
Berry, M.V.1
-
5
-
-
0242504951
-
Trace formula for quantum integrable systems, lattice-point problems and small divisors
-
D.A. Hejhal, J. Friedman, M.C. Gutzwiller, A.M. Odlyzko, eds. (Springer)
-
P. Bleher, "Trace formula for quantum integrable systems, lattice-point problems and small divisors", Emerging Applications of Number Theory, D.A. Hejhal, J. Friedman, M.C. Gutzwiller, A.M. Odlyzko, eds. (Springer, 1999) pp. 1-38.
-
(1999)
Emerging Applications of Number Theory
, pp. 1-38
-
-
Bleher, P.1
-
6
-
-
21344479683
-
Energy-level statistics of model quantum systems: Universality and scaling in a lattice-point problem
-
P. Bleher and J. Lebowitz, Energy-level statistics of model quantum systems: universality and scaling in a lattice-point problem, J. Statist. Phys. 74, 167-217 (1994).
-
(1994)
J. Statist. Phys.
, vol.74
, pp. 167-217
-
-
Bleher, P.1
Lebowitz, J.2
-
7
-
-
0000675815
-
Chaotic billiards generated by arithmetic groups
-
E. Bogomolny, B. Georgeot, M.-J. Giannoni and C. Schmit, Chaotic billiards generated by arithmetic groups, Phys. Rev. Lett. 69, no. 10, 1477-1480 (1992).
-
(1992)
Phys. Rev. Lett.
, vol.69
, Issue.10
, pp. 1477-1480
-
-
Bogomolny, E.1
Georgeot, B.2
Giannoni, M.-J.3
Schmit, C.4
-
8
-
-
0030541938
-
Distribution of eigenvalues for the modular group
-
E. Bogomolny, F. Leyvraz and C. Schmit, Distribution of eigenvalues for the modular group, Comm. Math. Phys. 176, no. 3, 577-617 (1996).
-
(1996)
Comm. Math. Phys.
, vol.176
, Issue.3
, pp. 577-617
-
-
Bogomolny, E.1
Leyvraz, F.2
Schmit, C.3
-
9
-
-
0001224119
-
Semiclassical computations of energy levels
-
E. Bogomolny and C. Schmit, Semiclassical computations of energy levels, Nonlinearity 6, no. 4, 523-547 (1993).
-
(1993)
Nonlinearity
, vol.6
, Issue.4
, pp. 523-547
-
-
Bogomolny, E.1
Schmit, C.2
-
10
-
-
0038497875
-
-
"Quantum Chaos and Statistical Nuclear Physics", edited by Thomas H. Seligman and Hidetoshi Nishioka, (Springer-Verlag, Berlin)
-
O. Bohigas, M.-J. Giannoni, and C. Schmit, in "Quantum Chaos and Statistical Nuclear Physics", edited by Thomas H. Seligman and Hidetoshi Nishioka, Lecture Notes in Physics Vol. 263 (Springer-Verlag, Berlin, 1986), p. 18.
-
(1986)
Lecture Notes in Physics
, vol.263
, pp. 18
-
-
Bohigas, O.1
Giannoni, M.-J.2
Schmit, C.3
-
11
-
-
2442581340
-
Arithmetic chaos and violation of universality in energy level statistics
-
J. Bolte, G. Steil and F. Steiner, Arithmetic Chaos and Violation of Universality in Energy Level Statistics, Phs. Rev. Lett. 69, no. 15, 2188-2191 (1992).
-
(1992)
Phs. Rev. Lett.
, vol.69
, Issue.15
, pp. 2188-2191
-
-
Bolte, J.1
Steil, G.2
Steiner, F.3
-
12
-
-
34250952532
-
Über zwei Sätze des Herrn G.H. Hardy
-
H. Cramér, Über zwei Sätze des Herrn G.H. Hardy, Math. Z. 15, 201-210 (1922).
-
(1922)
Math. Z.
, vol.15
, pp. 201-210
-
-
Cramér, H.1
-
13
-
-
0002542182
-
Gaussian fluctuations in random matrices
-
O. Costin and J. Lebowitz, Gaussian fluctuations in random matrices, Phys. Rev. Lett 75, no 1, 69-72 (1995).
-
(1995)
Phys. Rev. Lett
, vol.75
, Issue.1
, pp. 69-72
-
-
Costin, O.1
Lebowitz, J.2
-
14
-
-
0001891773
-
On the eigenvalues of random matrices
-
P. Diaconis and M. Shahshahani, On the eigenvalues of random matrices, J. Appl. Probab. 31A, 49-62 (1994).
-
(1994)
J. Appl. Probab.
, vol.31 A
, pp. 49-62
-
-
Diaconis, P.1
Shahshahani, M.2
-
15
-
-
0003586158
-
-
Lecture Notes in Mathematics, Berlin, Heidelberg, New York: Springer
-
D.A. Hejhal, The Selberg Trace Formula for PSL(2, ℝ), Lecture Notes in Mathematics, vol. 548. Berlin, Heidelberg, New York: Springer 1976.
-
(1976)
The Selberg Trace Formula for PSL(2, ℝ)
, vol.548
-
-
Hejhal, D.A.1
-
16
-
-
0003586158
-
-
Lecture Notes in Mathematics, Berlin, Heidelberg, New York: Springer
-
D.A. Hejhal, The Selberg Trace Formula for PSL(2, ℝ), Volume 2, Lecture Notes in Mathematics, vol. 1001. Berlin, Heidelberg, New York: Springer 1983.
-
(1983)
The Selberg Trace Formula for PSL(2, ℝ)
, vol.1001
-
-
Hejhal, D.A.1
-
17
-
-
0000773449
-
The distribution and moments of the error term in the Dirichlet divisor problem
-
D.R. Heath-Brown, The distribution and moments of the error term in the Dirichlet divisor problem, Acta Arithmetica 60, 389-415 (1992).
-
(1992)
Acta Arithmetica
, vol.60
, pp. 389-415
-
-
Heath-Brown, D.R.1
-
18
-
-
2442602251
-
On the distribution of lattice points in thin annuli
-
C.P. Hughes and Z. Rudnick, On the distribution of lattice points in thin annuli, IMRN 13, 637-658 (2004).
-
(2004)
IMRN
, vol.13
, pp. 637-658
-
-
Hughes, C.P.1
Rudnick, Z.2
-
19
-
-
26844453531
-
-
Ph.D. thesis, Tel Aviv university (in preparation)
-
V. Lukianov, Ph.D. thesis, Tel Aviv university (in preparation).
-
-
-
Lukianov, V.1
-
20
-
-
21344479357
-
Number variance for arithmetic hyperbolic surfaces
-
W. Luo and P. Sarnak, Number Variance for Arithmetic Hyperbolic Surfaces, Commun. Math. Phys. 161, 419-432 (1994).
-
(1994)
Commun. Math. Phys.
, vol.161
, pp. 419-432
-
-
Luo, W.1
Sarnak, P.2
-
21
-
-
20444434738
-
The correlation between multiplicities of closed geodesics on the modular surface
-
M. Peter, The correlation between multiplicities of closed geodesics on the modular surface, Comm. Math. Phys. 225, no. 1, 171-189 (2002).
-
(2002)
Comm. Math. Phys.
, vol.225
, Issue.1
, pp. 171-189
-
-
Peter, M.1
-
22
-
-
0006359091
-
Random-matrix description of the distribution of mesoscopic conductance
-
H.D. Politzer, Random-matrix description of the distribution of mesoscopic conductance, Phys. Rev. B 40, no. 17, 11917-11919 (1989).
-
(1989)
Phys. Rev. B
, vol.40
, Issue.17
, pp. 11917-11919
-
-
Politzer, H.D.1
-
23
-
-
0001422797
-
Class numbers of indefinite binary quadratic forms
-
corrigenda in J. Number Theory 16, no. 2, 284 (1983)
-
P. Sarnak, Class numbers of indefinite binary quadratic forms, J. Number Theory 15, no. 2, 229-247 (1982); corrigenda in J. Number Theory 16, no. 2, 284 (1983).
-
(1982)
J. Number Theory
, vol.15
, Issue.2
, pp. 229-247
-
-
Sarnak, P.1
-
24
-
-
0001638909
-
-
Collected Papers. Springer-Verlag, Berlin
-
A. Selberg, Harmonic Analysis, in Collected Papers. Vol. I, 626-674 Springer-Verlag, Berlin, 1989.
-
(1989)
Harmonic Analysis
, vol.1
, pp. 626-674
-
-
Selberg, A.1
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