Handbook of Mathematical Functions with Formulas , Graphs, and Mathematical Tables, pp.258-259, 1972. ,
Constructing a unitary Hessenberg matrix from spectral data, Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms NATO Adv. Sci. Inst. Ser. F Comput. Systems Sci, vol.70, pp.385-395, 1988. ,
Logarithmic Combinatorial Structures : A Probabilistic Approach, EMS Monographs in Mathematics, vol.1, 2003. ,
DOI : 10.4171/000
On the frequency of Titchmarsh's phenomenon for zeta-III, Proc. Indian Acad. Sci, pp.341-351, 1977. ,
Toeplitz determinants from compatibility conditions, The Ramanujan Journal, vol.13, issue.153, pp.25-40, 2008. ,
DOI : 10.1007/s11139-007-9090-0
Large deviations for Wigner's law and Voiculescu's non-commutative entropy, Probab. Theory Related Fields, pp.517-542, 1997. ,
Semiclassical formula for the number variance of the Riemann zeros, Nonlinearity, vol.1, issue.3, pp.399-407, 1988. ,
DOI : 10.1088/0951-7715/1/3/001
The Riemann zeros and eigenvalue asymptotics, SIAM Rev, pp.236-266, 1999. ,
La fonction zeta de Riemann et les probabilités, La fonction zeta, pp.165-193, 2003. ,
Probability laws related to the Jacobi theta and Riemann zeta
functions, and Brownian excursions, Bulletin of the American Mathematical Society, vol.38, issue.04, pp.435-465, 2001. ,
DOI : 10.1090/S0273-0979-01-00912-0
Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation, Physical Review Letters, vol.77, issue.8, pp.1472-1475, 1996. ,
DOI : 10.1103/PhysRevLett.77.1472
Chaotic motion and random matrix theories, Lec. Notes on Physics, vol.209, pp.1-99, 1984. ,
DOI : 10.1007/3-540-13392-5_1
URL : https://hal.archives-ouvertes.fr/in2p3-00016778
Infinite Random Matrices and Ergodic Measures, Communications in Mathematical Physics, vol.223, issue.1, pp.87-123, 2001. ,
DOI : 10.1007/s002200100529
URL : http://arxiv.org/abs/math-ph/0010015
Conditional Haar measures on classical compact groups, The Annals of Probability, vol.37, issue.4, pp.1566-1586, 2009. ,
DOI : 10.1214/08-AOP443
URL : https://hal.archives-ouvertes.fr/hal-00414698
Mesoscopic fluctuations of the zeta zeros, Probability Theory and Related Fields, pp.3-4 ,
The characteristic polynomial of a random unitary matrix: A probabilistic approach, Duke Mathematical Journal, vol.145, issue.1, pp.45-69, 2008. ,
DOI : 10.1215/00127094-2008-046
URL : https://hal.archives-ouvertes.fr/hal-00355664
Euler's formulae for $\zeta(2n)$ and products of Cauchy variables, Electronic Communications in Probability, vol.12, issue.0, pp.73-80, 2007. ,
DOI : 10.1214/ECP.v12-1244
Ewens Measures on Compact Groups and Hypergeometric Kernels, Lecture Notes in Mathematics, pp.351-377, 2006. ,
DOI : 10.1007/978-3-642-15217-7_15
URL : https://hal.archives-ouvertes.fr/hal-00690322
The characteristic polynomial on compact groups with Haar measure: some equalities in law, Comptes Rendus Mathematique, vol.345, issue.4, pp.229-232, 2007. ,
DOI : 10.1016/j.crma.2007.06.023
URL : https://hal.archives-ouvertes.fr/hal-00690323
Circular Jacobi Ensembles and Deformed Verblunsky Coefficients, International Mathematics Research Notices, pp.4357-4394, 2009. ,
DOI : 10.1093/imrn/rnp092
URL : https://hal.archives-ouvertes.fr/hal-00672881
Characteristic Polynomials of Random Matrices, Communications in Mathematical Physics, vol.214, issue.1, pp.111-135, 2000. ,
DOI : 10.1007/s002200000256
Lie groups, 2004. ,
Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle, Linear Algebra and its Applications, vol.362, pp.29-56, 2003. ,
DOI : 10.1016/S0024-3795(02)00457-3
Exercises in probability. A guided tour from measure theory to random processes, via conditioning, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00773569
More than 2/5 of zeros of the Riemann zeta function are on the critical line, J. Reine. Angew. Math, vol.399, pp.1-26, 1989. ,
Pseudomoments of the Riemann zeta-function and pseudomagic squares, Journal of Number Theory, vol.117, issue.2, pp.263-278, 2006. ,
DOI : 10.1016/j.jnt.2005.01.006
On mean values of the zeta function, iii, Proceedings of the Amalfi Conference in Analytic Number Theory, 1992. ,
High moments of the Riemann zeta function, Duke Math, J, vol.107, pp.577-604, 2001. ,
Integral moments of L-functions, Proceedings of the London Mathematical Society, vol.91, issue.01, pp.33-104, 2005. ,
DOI : 10.1112/S0024611504015175
New tests of the correspondence between unitary eigenvalues and the zeros of Riemann??s zeta function, Journal of Physics A: Mathematical and General, vol.36, issue.12, pp.2883-2906 ,
DOI : 10.1088/0305-4470/36/12/302
Gaussian Fluctuation in Random Matrices, Physical Review Letters, vol.75, issue.1, pp.69-72, 1995. ,
DOI : 10.1103/PhysRevLett.75.69
Uber eine Eigenschaft der normalen Verteilungsfunction, Math. Z, vol.2, issue.41, pp.405-414, 1936. ,
Joint moments of derivatives of characteristic polynomials, Algebra & Number Theory, vol.2, issue.1, pp.31-68, 2008. ,
DOI : 10.2140/ant.2008.2.31
Steepest Descent Method for Riemann-Hilbert Problem, Ann. Math, pp.295-368, 1993. ,
The Subgroup Algorithm for Generating Uniform Random Variables, Probability in the Engineering and Informational Sciences, vol.1, issue.01, pp.15-32, 1987. ,
DOI : 10.2307/2045709
On the eigenvalues of random matrices, Studies in applied probability, J. Appl. Probab, pp.31-49, 1994. ,
Multiple Dirichlet Series and Moments of Zeta and L-Functions, Compositio Mathematica, vol.139, issue.3, pp.297-360, 2003. ,
DOI : 10.1023/B:COMP.0000018137.38458.68
Matrix models for beta ensembles, Journal of Mathematical Physics, vol.43, issue.11, pp.5830-5847, 2002. ,
DOI : 10.1063/1.1507823
A status report on the asymptotic behavior of Toeplitz determinants with Fisher-Hartwig singularities, Oper. Theory Adv, Appl, vol.124, pp.217-241, 2001. ,
The maximum size of L-functions, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2007, issue.609, pp.609-215, 2007. ,
DOI : 10.1515/CRELLE.2007.064
Log-gases and random matrices, book in preparation ,
Applications and generalizations of Fisher???Hartwig asymptotics, Journal of Mathematical Physics, vol.45, issue.5, 2003. ,
DOI : 10.1063/1.1699484
The importance of the Selberg integral, Bulletin of the American Mathematical Society, vol.45, issue.4, pp.489-534, 2008. ,
DOI : 10.1090/S0273-0979-08-01221-4
Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices, International Mathematics Research Notices, pp.1-36, 2006. ,
DOI : 10.1155/IMRN/2006/48306
Abstract, Nagoya Mathematical Journal, vol.326, pp.29-114, 2004. ,
DOI : 10.1002/1097-0312(200102)54:2<153::AID-CPA2>3.0.CO;2-5
Gap probabilities in the finite and scaled Cauchy random matrix ensembles, Nonl, vol.13, pp.1965-1986, 2000. ,
Gram's law for the zeta zeros and the eigenvalues of Gaussian unitary ensembles, Proc. Japan Acad. 63 Ser. A, pp.392-395, 1987. ,
DOI : 10.3792/pjaa.63.392
Explicit Formulas and Oscillations, Emerging Applications of Number Theory, 1999. ,
DOI : 10.1007/978-1-4612-1544-8_9
Sur la loi limite de l'espacement des valeurs propres d'une matrice ale??atoire, Nuclear Physics, vol.25, pp.447-458, 1961. ,
DOI : 10.1016/0029-5582(61)90176-6
On the density of eigenvalues of a random matrix, Nucl. Phys, pp.420-427, 1960. ,
On polynomials orthogonal on the circle, on trigonometric moment problem, and on allied Carath´eodory and Schur functions, Mat. Sb, vol.15, pp.99-130, 1944. ,
Notes on pair correlation of zeros and prime numbers, in Recent Perspectives in Random Matrix Theory and Number Theory, Note Series, vol.322, 2005. ,
Pair correlation of zeros and primes in short intervals, Analytic Number Theory and Diophantine Problems, pp.183-203, 1987. ,
A hybrid Euler-Hadamard product formula for the Riemann zeta function, Duke Math, J, vol.136, issue.3, pp.507-549, 2007. ,
Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle 183-198 ; Russian original in " Numerical methods of linear algebra, J. Comput. Appl. Math, vol.46, pp.16-32, 1982. ,
The characteristic polynomial of a random permutation matrix, Stochastic Process, Appl, vol.90, pp.335-346, 2000. ,
Contributions to the theory of the Riemann zetafunction and the theory of the distributions of primes, 1918. ,
Fractional Moments of the Riemann Zeta-Function, Journal of the London Mathematical Society, vol.2, issue.1, pp.65-78, 1981. ,
DOI : 10.1112/jlms/s2-24.1.65
A large deviation theorem for the empirical eigenvalue distribution of random unitary matrices, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.36, issue.1, pp.71-85, 2000. ,
DOI : 10.1016/S0246-0203(00)00116-3
Large deviations for functions of two random projection matrices, Acta Sci. Math. (Szeged), vol.72, pp.581-609, 2006. ,
Harmonic analysis of functions of several complex variables in the classical domains, Transl. Math. Monographs, vol.6, 1958. ,
On the Characteristic Polynomial?? of a Random Unitary Matrix, Communications in Mathematical Physics, vol.220, issue.2, pp.429-451, 2001. ,
DOI : 10.1007/s002200100453
An arithmetic model for the total disorder process, Probability Theory and Related Fields, vol.46, issue.1-2, pp.47-59, 2008. ,
DOI : 10.1007/s00440-007-0079-9
URL : https://hal.archives-ouvertes.fr/hal-00257484
On fluctuations of eigenvalues of random Hermitian matrices, Duke Math, Journ, vol.91, pp.151-204, 1998. ,
On Random Matrices from the Compact Classical Groups, The Annals of Mathematics, vol.145, issue.3, pp.519-545, 1997. ,
DOI : 10.2307/2951843
Random matrices and determinantal processes, math-ph, 2005. ,
DOI : 10.1016/s0924-8099(06)80038-7
Distribution theorems of L-functions, 1986. ,
Random Matrices, Frobenius Eigenvalues and monodromy, 1999. ,
DOI : 10.1090/coll/045
Zeros of zeta functions and symmetry, Bull, Amer. Soc, vol.36, issue.45, pp.1-26, 1999. ,
Random Matrix Theory and L-Functions at s = 1/2, Communications in Mathematical Physics, vol.214, issue.1, pp.91-110, 2000. ,
DOI : 10.1007/s002200000262
Schur's Algorithm, Orthogonal Polynomials, and Convergence of Wall's Continued Fractions in L2(T), Journal of Approximation Theory, vol.108, issue.2, pp.161-248, 2001. ,
DOI : 10.1006/jath.2000.3500
Classification Theorems for General Orthogonal Polynomials on the Unit Circle, Journal of Approximation Theory, vol.116, issue.2, pp.268-342, 2002. ,
DOI : 10.1006/jath.2002.3674
Eigenvalue statistics for CMV matrices : from Poisson to clock via C?E, preprint, 2006. ,
Computational estimation of the order of ?(1/2 + it, Math. Comp, pp.949-956, 2004. ,
Universality for eigenvalue correlations from the modified Jacobi unitary ensemble, International Mathematics Research Notices, pp.1575-1600, 2002. ,
Limit Theorems for the Riemann Zeta-Function, series : Mathematics and Its Applications, 1996. ,
DOI : 10.1007/978-94-017-2091-5
Spatial Branching Processes, Random Snakes and Partial Differential Equations, Lectures in Mathematics, 1999. ,
Universality Limits Involving Orthogonal Polynomials on the Unit Circle, Computational Methods and Function Theory, pp.543-561, 2007. ,
A new approach to universality limits at the edge of the spectrum, Contemporary Mathematics, pp.458-281, 2008. ,
DOI : 10.1090/conm/458/08941
A new approach to universality limits involving orthogonal polynomials, Annals of Mathematics, vol.170, issue.2 ,
DOI : 10.4007/annals.2009.170.915
Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle, International Mathematics Research Notices, 2006. ,
DOI : 10.1155/IMRN/2006/91426
The probabilities for several consecutive eigenvalues of a random matrix, Indian J. Pure Appl. Math, vol.3, pp.329-351, 1972. ,
Random matrices, Pure and Applied Mathematics Series, vol.142, 2004. ,
How to Generate Random Matrices from the Classical Compact Groups, Notices of the Amer, Math. Soc, vol.54, pp.592-604, 2007. ,
Recent Perspectives in Random Matrix Theory and Number Theory, Lecture Note Series 322 (CUP), 2005. ,
DOI : 10.1017/CBO9780511550492
-Functions, Experimental Mathematics, vol.15, issue.3, pp.257-279, 2006. ,
DOI : 10.1080/10586458.2006.10128967
URL : https://hal.archives-ouvertes.fr/halshs-00259479
The pair correlation of zeros of the zeta function, Analytic number theory (Proceedings of Symposium in Pure Mathemathics, pp.181-193, 1972. ,
DOI : 10.1090/pspum/024/9944
Extreme values of the Riemann zeta function, Commentarii Mathematici Helvetici, vol.52, issue.1, pp.511-518, 1977. ,
DOI : 10.1007/BF02567383
Hilbert's Inequality, Journal of the London Mathematical Society, vol.2, issue.1, pp.73-82, 1974. ,
DOI : 10.1112/jlms/s2-8.1.73
Hua type integrals over unitary groups and over projective limits of unitary groups, Duke Math, J, vol.114, pp.239-266, 2002. ,
The 10 20 th zero of the Riemann zeta function and 70 million of its neighbors, ATT Bell laboratories preprint, 1989. ,
On the distribution of spacings between zeros of the zeta function, Mathematics of Computation, vol.48, issue.177, pp.273-308, 1987. ,
DOI : 10.1090/S0025-5718-1987-0866115-0
The problem of harmonic analysis on the infinite-dimensional unitary group, Journal of Functional Analysis, vol.205, issue.2, pp.464-524, 2003. ,
DOI : 10.1016/S0022-1236(02)00022-8
Géométrie algébrique : une introduction, EDP Sciences Editions, 1995. ,
Limit Theorems of Probability Theory, 1995. ,
On a Relation Between an Estimate of the Remainder in the Central Limit Theorem and the Law of the Iterated Logarithm, Theory of Probability & Its Applications, vol.11, issue.3, pp.454-458, 1966. ,
DOI : 10.1137/1111046
On the Law of the Iterated Logarithm for a Sequence of Independent Random Variables, Theory of Probability & Its Applications, vol.46, issue.3, pp.542-544, 1999. ,
DOI : 10.1137/S0040585X97979159
Measures on infinite dimensional Grassmann manifolds, Journal of Functional Analysis, vol.70, issue.2, pp.323-356, 1987. ,
DOI : 10.1016/0022-1236(87)90116-9
Combinatorial stochastic processes, Saint-Flour, Lecture Notes in Math, vol.1875, 2002. ,
High powers of random elements of compact Lie groups, Probability Theorey and Related Fields, 1997. ,
Some remarks on the mean value of the Riemann zetafunction and other Dirichlet series, II, Hardy-Ramanujan, J, vol.3, pp.1-25, 1980. ,
Almost sure stability of maxima, Journal of Applied Probability, vol.7, issue.02, pp.387-401, 1973. ,
DOI : 10.2307/1426000
Fonction ? et matrices aléatoires Physics and Number Theory, IRMA Lectures in Mathematics and Theoretical Physics Eur. Math. Soc, vol.10, pp.165-224, 2006. ,
Zeros of principal L-functions and random matrix theory, Duke Math, J, vol.81, issue.2, pp.269-322, 1996. ,
Contributions to the theory of the Riemann zeta-function, Arkiv for, Mathematik og Naturvidenskab B, vol.48, issue.5, pp.89-155, 1946. ,
Old and new conjectures and results about a class of Dirichlet series, Proceedings of the Amalfi Conference on Analytic Number Theory (Maiori, pp.367-385, 1989. ,
Orthogonal Polynomials on the Unit Circle, Part 1 : Classical Theory, 2005. ,
Orthogonal Polynomials on the Unit Circle, Part 2 : Spectral Theory, 2005. ,
CMV matrices: Five years after, Journal of Computational and Applied Mathematics, vol.208, issue.1, pp.120-154, 2007. ,
DOI : 10.1016/j.cam.2006.10.033
The Christoffel-Darboux kernel, to appear in " Perspectives in PDE, Harmonic Analysis and Applications " in honor of V.G. Maz'ya's 70th birthday, Proceedings of Symposia in Pure Mathematics ,
General Orthogonal Polynomials, in " Encyclopedia of Mathematics and its Applications, 1992. ,
Derivatives of random matrix characteristic polynomials with applications to elliptic curves, Journal of Physics A: Mathematical and General, vol.38, issue.48, pp.10345-10360, 2005. ,
DOI : 10.1088/0305-4470/38/48/007
The derivative of SO(2N+1) characteristic polynomials and rank 3 elliptic curves, in Ranks of Elliptic Curves and Random Matrix Theory, LMS lecture note series 341, pp.93-107, 2007. ,
Determinantal random point fields, Russian Mathematical Surveys, vol.55, issue.5, pp.923-975, 2000. ,
DOI : 10.1070/RM2000v055n05ABEH000321
Extreme values of zeta and L-functions, Mathematische Annalen, vol.152, issue.2, pp.467-486, 2008. ,
DOI : 10.1007/s00208-008-0243-2
Moments of the Riemann zeta-function, to appear in Ann ,
The pure point spectrum of random orthogonal polynomials on the circle, Soviet Math. Dokl. Russian original in Dokl. Akad. Nauk SSSR, vol.44, issue.320, pp.407-411, 1991. ,
The Theory of the Riemann Zeta Function, 1951. ,
The distribution of the values of the zeta function, 1984. ,
L'intégration dans les groupes topologiques et ses applications, Actualités Scientifiques et Industrielles, 1940. ,
On the Riemann Hypothesis in Function-Fields, Proceedings of the National Academy of Sciences, vol.27, issue.7, pp.345-349, 1941. ,
DOI : 10.1073/pnas.27.7.345
Toeplitz determinants with singular generating functions, Amer, J. Math, pp.95-333, 1973. ,
Eigenvalue distributions of random matrices in the permutation group and compact Lie groups, 1998. ,
Brownian motion and the Riemann zeta-function, Disorder in physical systems, pp.361-372, 1990. ,
A further note on Selberg's integrals, inspired by N. Snaith's results about the distribution of some characteristic polynomials, RIMS Kokyuroku, 2008. ,