-
1
-
-
0034339813
-
Classical skew orthogonal polynomials and random matrices
-
Adler, M., Forrester, P.J., Nagao, T., van Moerbeke, P.: Classical skew orthogonal polynomials and random matrices. J. Stat. Phys. 99, 141 (2000)
-
(2000)
J. Stat. Phys.
, vol.99
, pp. 141
-
-
Adler, M.1
Forrester, P.J.2
Nagao, T.3
Van Moerbeke, P.4
-
2
-
-
0037054247
-
Viscous fingering and the shape of an electronic droplet in the quantum Hall regime
-
Agam, O., Bettelheim, E., Wiegmann, P.B., Zabrodin, A.: Viscous fingering and the shape of an electronic droplet in the quantum Hall regime. Phys. Rev. Lett. 88, 236801 (2002)
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 236801
-
-
Agam, O.1
Bettelheim, E.2
Wiegmann, P.B.3
Zabrodin, A.4
-
3
-
-
27944453016
-
The complex Laguerre symplectic ensemble of non-Hermitean matrices
-
Akemann, G.: The complex Laguerre symplectic ensemble of non-Hermitean matrices. Nucl. Phys. B 730, 253 (2005)
-
(2005)
Nucl. Phys. B
, vol.730
, pp. 253
-
-
Akemann, G.1
-
4
-
-
33947499481
-
Matrix models and QCD with chemical potential
-
Akemann, G.: Matrix models and QCD with chemical potential. Int. J. Mod. Phys. A 22, 1077 (2007)
-
(2007)
Int. J. Mod. Phys. A
, vol.22
, pp. 1077
-
-
Akemann, G.1
-
5
-
-
33847028273
-
Massive partition functions and complex eigenvalue correlations in matrix models with symplectic symmetry
-
Akemann, G., Basile, F.: Massive partition functions and complex eigenvalue correlations in matrix models with symplectic symmetry. Nucl. Phys. B 766, 150 (2007)
-
(2007)
Nucl. Phys. B
, vol.766
, pp. 150
-
-
Akemann, G.1
Basile, F.2
-
7
-
-
0031534271
-
Circular law
-
Bai, Z.D.: Circular law. Ann. Probab. 25, 494 (1997)
-
(1997)
Ann. Probab.
, vol.25
, pp. 494
-
-
Bai, Z.D.1
-
9
-
-
85204037343
-
Averages of characteristic polynomials in random matrix theory
-
Borodin, A., Strahov, E.: Averages of characteristic polynomials in random matrix theory. Commun. Pure Appl. Math. LVIII, 0001 (2005)
-
(2005)
Commun. Pure Appl. Math.
, vol.58
, pp. 0001
-
-
Borodin, A.1
Strahov, E.2
-
10
-
-
4243350187
-
Eigenvector statistics in non-Hermitean random matrix ensembles
-
Chalker, J.T., Mehlig, B.: Eigenvector statistics in non-Hermitean random matrix ensembles. Phys. Rev. Lett. 81, 3367 (1998)
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 3367
-
-
Chalker, J.T.1
Mehlig, B.2
-
11
-
-
0039430657
-
Correlations between eigenvalues of a random matrix
-
Dyson, F.J.: Correlations between eigenvalues of a random matrix. Commun. Math. Phys. 19, 235 (1970)
-
(1970)
Commun. Math. Phys.
, vol.19
, pp. 235
-
-
Dyson, F.J.1
-
12
-
-
0000035287
-
Quaternion determinants
-
Dyson, F.J.: Quaternion determinants. Helv. Phys. Acta 49, 289 (1972)
-
(1972)
Helv. Phys. Acta
, vol.49
, pp. 289
-
-
Dyson, F.J.1
-
13
-
-
0031068715
-
The probability that a random real Gaussian matrix has k real eigenvalues. Related distributions, and the circular law
-
Edelman, A.: The probability that a random real Gaussian matrix has k real eigenvalues. Related distributions, and the circular law. J. Mult. Anal. 60, 203 (1997)
-
(1997)
J. Mult. Anal.
, vol.60
, pp. 203
-
-
Edelman, A.1
-
14
-
-
84968466626
-
How many eigenvalues of a random matrix are real?
-
Edelman, A., Kostlan, E., Shub, M.: How many eigenvalues of a random matrix are real? J. Am. Math. Soc. 7, 247 (1994)
-
(1994)
J. Am. Math. Soc.
, vol.7
, pp. 247
-
-
Edelman, A.1
Kostlan, E.2
Shub, M.3
-
15
-
-
0001365958
-
Directed quantum chaos
-
Efetov, K.B.: Directed quantum chaos. Phys. Rev. Lett. 79, 491 (1997)
-
(1997)
Phys. Rev. Lett.
, vol.79
, pp. 491
-
-
Efetov, K.B.1
-
16
-
-
0642332297
-
Quantum disordered systems with a direction
-
Efetov, K.B.: Quantum disordered systems with a direction. Phys. Rev. B 56, 9630 (1997)
-
(1997)
Phys. Rev. B
, vol.56
, pp. 9630
-
-
Efetov, K.B.1
-
17
-
-
0035929535
-
Asymptotics of skew orthogonal polynomials
-
Eynard, B.: Asymptotics of skew orthogonal polynomials. J. Phys. A: Math. Gen. 34, 7591 (2001)
-
(2001)
J. Phys. A: Math. Gen.
, vol.34
, pp. 7591
-
-
Eynard, B.1
-
18
-
-
85204044165
-
Log-Gases and Random Matrices
-
Forrester, P.J. Log-Gases and Random Matrices. Web-book (2005)
-
(2005)
Web-book
-
-
Forrester, P.J.1
-
19
-
-
34547650421
-
Eigenvalue statistics of the real Ginibre ensemble
-
Forrester, P.J., Nagao, T.: Eigenvalue statistics of the real Ginibre ensemble. Phys. Rev. Lett. 99, 050603 (2007)
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 050603
-
-
Forrester, P.J.1
Nagao, T.2
-
20
-
-
0037471298
-
Random matrices close to Hermitean or unitary: Overview of methods and results
-
Fyodorov, Y.V., Sommers, H.-J.: Random matrices close to Hermitean or unitary: Overview of methods and results. J. Phys. A: Math. Gen. 36, 3303 (2003)
-
(2003)
J. Phys. A: Math. Gen.
, vol.36
, pp. 3303
-
-
Fyodorov, Y.V.1
Sommers, H.-J.2
-
21
-
-
4243883592
-
Almost Hermitean random matrices: Crossover from Wigner-Dyson to Ginibre eigenvalue statistics
-
Fyodorov, Y.V., Khoruzhenko, B., Sommers, H.-J.: Almost Hermitean random matrices: Crossover from Wigner-Dyson to Ginibre eigenvalue statistics. Phys. Rev. Lett. 79, 557 (1997)
-
(1997)
Phys. Rev. Lett.
, vol.79
, pp. 557
-
-
Fyodorov, Y.V.1
Khoruzhenko, B.2
Sommers, H.-J.3
-
22
-
-
34548215512
-
Statistical ensembles of complex, quaternion, and real matrices
-
Ginibre, J.: Statistical ensembles of complex, quaternion, and real matrices. J. Math. Phys. 19, 133 (1965)
-
(1965)
J. Math. Phys.
, vol.19
, pp. 133
-
-
Ginibre, J.1
-
25
-
-
4244201369
-
Quantum distinction of regular and chaotic dissipative motion
-
Grobe, R., Haake, F., Sommers, H.-J.: Quantum distinction of regular and chaotic dissipative motion. Phys. Rev. Lett. 61, 1899 (1988)
-
(1988)
Phys. Rev. Lett.
, vol.61
, pp. 1899
-
-
Grobe, R.1
Haake, F.2
Sommers, H.-J.3
-
26
-
-
4244193270
-
Universality of cubic-level repulsion for dissipative quantum chaos
-
Grobe, R., Haake, F.: Universality of cubic-level repulsion for dissipative quantum chaos. Phys. Rev. Lett. 62, 2893 (1989)
-
(1989)
Phys. Rev. Lett.
, vol.62
, pp. 2893
-
-
Grobe, R.1
Haake, F.2
-
27
-
-
0039165794
-
Random matrix theories in quantum physics: Common concepts
-
Guhr, T., Müller-Groeling, A., Weidenmüller, H.A.: Random matrix theories in quantum physics: Common concepts. Phys. Reports 299, 189 (1998)
-
(1998)
Phys. Reports
, vol.299
, pp. 189
-
-
Guhr, T.1
Müller-Groeling, A.2
Weidenmüller, H.A.3
-
28
-
-
0000459750
-
Random matrix triality at nonzero chemical potential
-
Halasz, M.A., Osborn, J.C., Verbaarschot, J.J.M.: Random matrix triality at nonzero chemical potential. Phys. Rev. D 56, 7059 (1997)
-
(1997)
Phys. Rev. D
, vol.56
, pp. 7059
-
-
Halasz, M.A.1
Osborn, J.C.2
Verbaarschot, J.J.M.3
-
30
-
-
85204058216
-
A class of polynomials in search of a definition, or the symmetric group parameterized
-
AMS Providence
-
Jack, H.: A class of polynomials in search of a definition, or the symmetric group parameterized. In: Kuznetsov, V.B., Sahi, S. (eds.) Jack, Hall-Littlewood and Macdonald polynomials. Contemporary Mathematics Series. AMS, Providence (2006)
-
(2006)
Jack, Hall-Littlewood and Macdonald Polynomials Contemporary Mathematics Series
-
-
Jack, H.1
Kuznetsov, V.B.2
Sahi, S.3
-
31
-
-
0001497834
-
Correlations of eigenvectors for non-Hermitean random-matrix models
-
Janik, R.A., Nörenberg, W., Nowak, M.A., Papp, G., Zahed, I.: Correlations of eigenvectors for non-Hermitean random-matrix models. Phys. Rev. E 60, 2699 (1999)
-
(1999)
Phys. Rev. e
, vol.60
, pp. 2699
-
-
Janik, R.A.1
Nörenberg, W.2
Nowak, M.A.3
Papp, G.4
Zahed, I.5
-
32
-
-
0037047617
-
Eigenvalue correlations in non-Hermitean symplectic random matrices
-
Kanzieper, E.: Eigenvalue correlations in non-Hermitean symplectic random matrices. J. Phys. A: Math. Gen. 35, 6631 (2002)
-
(2002)
J. Phys. A: Math. Gen.
, vol.35
, pp. 6631
-
-
Kanzieper, E.1
-
33
-
-
0037122322
-
Replica field theories, Painlevé transcendents, and exact correlation functions
-
Kanzieper, E.: Replica field theories, Painlevé transcendents, and exact correlation functions. Phys. Rev. Lett. 89, 250201 (2002)
-
(2002)
Phys. Rev. Lett.
, vol.89
, pp. 250201
-
-
Kanzieper, E.1
-
34
-
-
27944474935
-
Exact replica treatment of non-Hermitean complex random matrices
-
Nova Science Publishers New York
-
Kanzieper, E.: Exact replica treatment of non-Hermitean complex random matrices. In: Kovras, O. (ed.) Frontiers in Field Theory, p. 23. Nova Science Publishers, New York (2005)
-
(2005)
Frontiers in Field Theory
, pp. 23
-
-
Kanzieper, E.1
Kovras, O.2
-
35
-
-
28844438273
-
Statistics of real eigenvalues in Ginibre's ensemble of random real matrices
-
Kanzieper, E., Akemann, G.: Statistics of real eigenvalues in Ginibre's ensemble of random real matrices. Phys. Rev. Lett. 95, 230201 (2005)
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 230201
-
-
Kanzieper, E.1
Akemann, G.2
-
37
-
-
0032662977
-
Distribution of complex eigenvalues for symplectic ensembles of non-Hermitean matrices
-
Kolesnikov, A.V., Efetov, K.B.: Distribution of complex eigenvalues for symplectic ensembles of non-Hermitean matrices. Waves Random Media 9, 71 (1999)
-
(1999)
Waves Random Media
, vol.9
, pp. 71
-
-
Kolesnikov, A.V.1
Efetov, K.B.2
-
38
-
-
0034287465
-
Temporal correlations versus noise in the correlation matrix formalism: An example of the brain auditory response
-
Kwapień, J., Drożdż, S., Ioannides, A.A.: Temporal correlations versus noise in the correlation matrix formalism: An example of the brain auditory response. Phys. Rev. E 62, 5557 (2000)
-
(2000)
Phys. Rev. e
, vol.62
, pp. 5557
-
-
Kwapień, J.1
Drozdz, S.2
Ioannides, A.A.3
-
39
-
-
33845546128
-
Asymmetric matrices in an analysis of financial correlations
-
Kwapień, J., Drożdż, S., Górski, A.Z., Oświȩcimka, P.: Asymmetric matrices in an analysis of financial correlations. Acta Phys. Polonica B37, 3039 (2006)
-
(2006)
Acta Phys. Polonica
, vol.37
, pp. 3039
-
-
Kwapień, J.1
Drozdz, S.2
Górski, A.Z.3
Oświȩcimka, P.4
-
40
-
-
0009514035
-
The Voronoi tessellation generated from eigenvalues of complex random matrices
-
Le Caër, G., Ho, J.S.: The Voronoi tessellation generated from eigenvalues of complex random matrices. J. Phys. A: Math. Gen. 23, 3279 (1990)
-
(1990)
J. Phys. A: Math. Gen.
, vol.23
, pp. 3279
-
-
Le Caër, G.1
Ho, J.S.2
-
41
-
-
24444461028
-
Topological models of 2D fractal cellular structures
-
Le Caër, G., Delannay, R.: Topological models of 2D fractal cellular structures. J. Phys. I (France) 3, 1777 (1993)
-
(1993)
J. Phys. i (France)
, vol.3
, pp. 1777
-
-
Le Caër, G.1
Delannay, R.2
-
42
-
-
0001203841
-
Eigenvalue statistics of random real matrices
-
Lehmann, N., Sommers, H.J.: Eigenvalue statistics of random real matrices. Phys. Rev. Lett. 67, 941 (1991)
-
(1991)
Phys. Rev. Lett.
, vol.67
, pp. 941
-
-
Lehmann, N.1
Sommers, H.J.2
-
44
-
-
0001564556
-
A method of integration over matrix variables
-
Mahoux, G., Mehta, M.L.: A method of integration over matrix variables. J. Phys. I (France) 1, 1093 (1991)
-
(1991)
J. Phys. i (France)
, vol.1
, pp. 1093
-
-
Mahoux, G.1
Mehta, M.L.2
-
45
-
-
0001699899
-
Non-Hermitean random matrix theory and lattice QCD with chemical potential
-
Markum, H., Pullirsch, R., Wettig, T.: Non-Hermitean random matrix theory and lattice QCD with chemical potential. Phys. Rev. Lett. 83, 484 (1999)
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 484
-
-
Markum, H.1
Pullirsch, R.2
Wettig, T.3
-
46
-
-
0034347390
-
Statistical properties of eigenvectors in non-Hermitean Gaussian random matrix ensembles
-
Mehlig, B., Chalker, J.T.: Statistical properties of eigenvectors in non-Hermitean Gaussian random matrix ensembles. J. Math. Phys. 41, 3233 (2000)
-
(2000)
J. Math. Phys.
, vol.41
, pp. 3233
-
-
Mehlig, B.1
Chalker, J.T.2
-
47
-
-
36749109270
-
A note on certain multiple integrals
-
Mehta, M.L.: A note on certain multiple integrals. J. Math. Phys. 17, 2198 (1976)
-
(1976)
J. Math. Phys.
, vol.17
, pp. 2198
-
-
Mehta, M.L.1
-
49
-
-
28844488525
-
Correlation functions for eigenvalues of real quaternion matrices
-
Mehta, M.L., Srivastava, P.K.: Correlation functions for eigenvalues of real quaternion matrices. J. Math. Phys. 7, 341 (1966)
-
(1966)
J. Math. Phys.
, vol.7
, pp. 341
-
-
Mehta, M.L.1
Srivastava, P.K.2
-
50
-
-
0001053794
-
Integrable structure of interface dynamics
-
Mineev-Weinstein, M., Wiegmann, P.B., Zabrodin, A.: Integrable structure of interface dynamics. Phys. Rev. Lett. 84, 5106 (2000)
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 5106
-
-
Mineev-Weinstein, M.1
Wiegmann, P.B.2
Zabrodin, A.3
-
52
-
-
0035080249
-
Massive random matrix ensembles at β=1 and 4: QCD in three dimensions
-
Nagao, T., Nishigaki, S.M.: Massive random matrix ensembles at β=1 and 4: QCD in three dimensions. Phys. Rev. D 63, 045011 (2001)
-
(2001)
Phys. Rev. D
, vol.63
, pp. 045011
-
-
Nagao, T.1
Nishigaki, S.M.2
-
53
-
-
0037205296
-
Replica treatment of non-Hermitean disordered Hamiltonians
-
Nishigaki, S.M., Kamenev, A.: Replica treatment of non-Hermitean disordered Hamiltonians. J. Phys. A: Math. Gen. 35, 4571 (2002)
-
(2002)
J. Phys. A: Math. Gen.
, vol.35
, pp. 4571
-
-
Nishigaki, S.M.1
Kamenev, A.2
-
54
-
-
42749102457
-
Universal results from an alternate random matrix model for QCD with a baryon chemical potential
-
Osborn, J.C.: Universal results from an alternate random matrix model for QCD with a baryon chemical potential. Phys. Rev. Lett. 93, 222001 (2004)
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 222001
-
-
Osborn, J.C.1
-
55
-
-
0004184360
-
-
Gordon and Breach New York
-
Prudnikov, A.P., Brychkov, Y.A., Marichev, O.I.: Integrals and Series, vol. 2. Gordon and Breach, New York (1986)
-
(1986)
Integrals and Series, Vol. 2
-
-
Prudnikov, A.P.1
Brychkov, Y.A.2
Marichev, O.I.3
-
56
-
-
0003768455
-
-
Gordon and Breach New York
-
Prudnikov, A.P., Brychkov, Y.A., Marichev, O.I.: Integrals and Series, vol. 3. Gordon and Breach, New York (1990)
-
(1990)
Integrals and Series, Vol. 3
-
-
Prudnikov, A.P.1
Brychkov, Y.A.2
Marichev, O.I.3
-
57
-
-
61349197703
-
Averages over Ginibre's ensemble of random real matrices
-
Sinclair, C.D.: Averages over Ginibre's ensemble of random real matrices. Int. Math. Res. Not. 2007, rnm015 (2007)
-
(2007)
Int. Math. Res. Not.
, vol.2007
-
-
Sinclair, C.D.1
-
58
-
-
34547461199
-
Symplectic structure of the real Ginibre ensemble
-
Sommers, H.J.: Symplectic structure of the real Ginibre ensemble. J. Phys. A: Math. Theor. 40, F671 (2007)
-
(2007)
J. Phys. A: Math. Theor.
, vol.40
, pp. 671
-
-
Sommers, H.J.1
-
59
-
-
0000435159
-
Spectrum of large random asymmetric matrices
-
Sommers, H.J., Crisanti, A., Sompolinsky, H., Stein, Y.: Spectrum of large random asymmetric matrices. Phys. Rev. Lett. 60, 1895 (1988)
-
(1988)
Phys. Rev. Lett.
, vol.60
, pp. 1895
-
-
Sommers, H.J.1
Crisanti, A.2
Sompolinsky, H.3
Stein, Y.4
-
60
-
-
0000697741
-
Chaos in random neural networks
-
Sompolinsky, H., Crisanti, A., Sommers, H.J.: Chaos in random neural networks. Phys. Rev. Lett. 61, 259 (1988)
-
(1988)
Phys. Rev. Lett.
, vol.61
, pp. 259
-
-
Sompolinsky, H.1
Crisanti, A.2
Sommers, H.J.3
-
61
-
-
1542716739
-
Factorization of correlation functions and the replica limit of the Toda lattice equation
-
Splittorff, K., Verbaarschot, J.J.M.: Factorization of correlation functions and the replica limit of the Toda lattice equation. Nucl. Phys. B 683, 467 (2004)
-
(2004)
Nucl. Phys. B
, vol.683
, pp. 467
-
-
Splittorff, K.1
Verbaarschot, J.J.M.2
-
62
-
-
0001463454
-
Random matrix model of QCD at finite density and the nature of the quenched limit
-
Stephanov, M.: Random matrix model of QCD at finite density and the nature of the quenched limit. Phys. Rev. Lett. 76, 4472 (1996)
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 4472
-
-
Stephanov, M.1
-
63
-
-
18744405108
-
Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators
-
Timme, M., Wolf, F., Geisel, T.: Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators. Phys. Rev. Lett. 89, 258701 (2002)
-
(2002)
Phys. Rev. Lett.
, vol.89
, pp. 258701
-
-
Timme, M.1
Wolf, F.2
Geisel, T.3
-
64
-
-
1542610142
-
Topological speed limits to network synchronization
-
Timme, M., Wolf, F., Geisel, T.: Topological speed limits to network synchronization. Phys. Rev. Lett. 92, 074101 (2004)
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 074101
-
-
Timme, M.1
Wolf, F.2
Geisel, T.3
-
65
-
-
0032163852
-
Correlation functions, cluster functions, and spacing distributions for random matrices
-
Tracy, C.A., Widom, H.: Correlation functions, cluster functions, and spacing distributions for random matrices. J. Stat. Phys. 92, 809 (1998)
-
(1998)
J. Stat. Phys.
, vol.92
, pp. 809
-
-
Tracy, C.A.1
Widom, H.2
-
66
-
-
0003013212
-
Statistical properties of real symmetric matrices with many dimensions
-
Wigner, E.P.: Statistical properties of real symmetric matrices with many dimensions. In: Proc. 4th Can. Math. Cong. (Toronto), p. 174 (1957)
-
(1957)
Proc. 4th Can. Math. Cong. (Toronto)
, pp. 174
-
-
Wigner, E.P.1
-
67
-
-
84980078034
-
The unreasonable effectiveness of mathematics in natural sciences
-
Wigner, E.P.: The unreasonable effectiveness of mathematics in natural sciences. Commun. Pure Appl. Math. 13, 1 (1960)
-
(1960)
Commun. Pure Appl. Math.
, vol.13
, pp. 1
-
-
Wigner, E.P.1
-
68
-
-
85204073860
-
New applications of non-Hermitean random matrices
-
Birkhäuser Basel
-
Zabrodin, A.: New applications of non-Hermitean random matrices. In: Iagolnitzer, D., Rivasseau, V., Zinn-Justin, J. (eds.) Proceedings of the International Conference on Theoretical Physics (TH-2002). Birkhäuser, Basel (2003)
-
(2003)
Proceedings of the International Conference on Theoretical Physics (TH-2002)
-
-
Zabrodin, A.1
Iagolnitzer, D.2
Rivasseau, V.3
Zinn-Justin, J.4
|