Fetching the paper…
Reading the bibliography…
We show that in a general \cal{N} = 1 supergravity with N \gg 1 scalar fields, an exponentially small fraction of the de Sitter critical points are metastable vacua.
J. Wishart, “The generalized product moment distribution in samples from a normal multivariate population,” Biometrika 20A
1928
Earlier work this paper cites.
E. P. Wigner, “On the statistical distribution of the widths and spacings of nuclear resonance levels,” Math. Proc. Cambridge Philos. Soc. 47
1951
Earlier work this paper cites.
E. P. Wigner, “Characteristic vectors of bordered matrices with infinite dimensions,” Annals of Mathematics 62
1955
Earlier work this paper cites.
E. P. Wigner, “Results and theory of resonance absorbtion,” Oak Ridge Natl. Lab. Rept. ORNL- 2309
1957
Earlier work this paper cites.
F. J. Dyson, “Statistical theory of the energy levels of complex systems, I,” J. Math. Phys. 3
1962
Earlier work this paper cites.
M. Abramowitz and I. A. Stegun, “Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables,” Dover, New York, 1964
1964
Earlier work this paper cites.
V. A. Marchenko and L. A. Pastur, “Distributions of eigenvalues of some sets of random matrices,” Math. USSR-Sb 1
1967
Earlier work this paper cites.
H. Solomon and M. A. Stephens, “Distribution of a Sum of Weighted Chi-Square Variables,” Journal of the American Statistical Association 72
1977
Earlier work this paper cites.
M. L. Mehta, Random Matrices
1991
Earlier work this paper cites.
A. Edelman, “The Distribution and Moments of the Smallest Eigenvalue of a Random Matrix of Wishart Type,” Linear Algebra and Its Applications, 159
1991
Earlier work this paper cites.
D. V. Voiculescu, K. J. Dykema, and A. Nica, Free random variables,
1992
Earlier work this paper cites.
P. J. Forrester, “The spectrum edge of random matrix ensembles,” Nucl. Phys. B 402
1993
Earlier work this paper cites.
C. Tracy and H. Widom, “Level-spacing distributions and the Airy kernel,” Commun. Math. Phys. 159
1994
Earlier work this paper cites.
R. Speicher, “Multiplicative functions on the lattice of non-crossing partitions and free convolution,” Math. Ann. 298
1994
Earlier work this paper cites.
A. Altland and M. R. Zirnbauer, “Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures,” Phys. Rev. B 55
1997
Cited alongside, same era.
K. Johansson, “Shape fluctuations and random matrices,” Comm. Math. Phys. 209
2000
Cited alongside, same era.
J. Baik, A. Borodin, P. Deift, and T. A. Suidan, “A model for the bus system in Cuernavaca (Mexico),” J. Phys. A 39
2000
Cited alongside, same era.
R. Bousso and J. Polchinski, “Quantization of four form fluxes and dynamical neutralization of the cosmological constant,” JHEP 0006
2000
Cited alongside, same era.
I. M. Johnstone, “On the distribution of the largest eigenvalue in principal components analysis,” Ann. Statist. 29
2001
Cited alongside, same era.
F. Denef, M. R. Douglas, B. Florea, A. Grassi, and S. Kachru, “Fixing all moduli in a simple F-theory compactification,” Adv. Theor. Math. Phys. 9
2005
Later among the works it cites.
D. S. Dean and S. N. Majumdar, “Large Deviations of Extreme Eigenvalues of Random Matrices,” Phys.Rev.Lett. 97
2006
Later among the works it cites.
A. Aazami and R. Easther, “Cosmology from random multifield potentials,” JCAP 0603
2006
Later among the works it cites.
M. R. Douglas, B. Shiffman, and S. Zelditch, “Critical points and supersymmetric vacua, I, II, III,” Commun. Math. Phys. 252
2006
Later among the works it cites.
M. R. Douglas and S. Kachru, “Flux compactification,” Rev. Mod. Phys. 79
2007
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
G. Ben Arous, A. Dembo, and A. Guionnet, “Aging of spherical spin glasses,” Probab. Theory Relat. Fields, 120
2001
Cited alongside, same era.
A. Soshnikov, “A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices,” J. Statist. Phys. 108
2002
Cited alongside, same era.
S. Kachru, R. Kallosh, A. D. Linde, and S. P. Trivedi, “De Sitter vacua in string theory,” Phys. Rev. D 68
2003
Cited alongside, same era.
S. Ashok and M. R. Douglas, “Counting flux vacua,” JHEP 0401
2004
Cited alongside, same era.
F. Denef, M. R. Douglas, and B. Florea, “Building a better racetrack,” JHEP 0406
2004
Cited alongside, same era.
R. Kallosh and A. D. Linde, “Landscape, the scale of SUSY breaking, and inflation,” JHEP 0412
2004
Cited alongside, same era.
F. Denef and M. R. Douglas, “Distributions of nonsupersymmetric flux vacua,” JHEP 0503
2005
Cited alongside, same era.
P. Vivo, S. N. Majumdar, and O. Bohigas, “Large Deviations of the Maximum Eigenvalue in Wishart Random Matrices,” J. Phys. A: Math. Theor. 40
2007
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
K. A. Takeuchi and M. Sano, “Universal Fluctuations of Growing Interfaces: Evidence in Turbulent Liquid Crystals,” Phys. Rev. Lett. 104
2010
Later among the works it cites.
2011
Closest in time.