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Publications Influence

Characterization of chaotic quantum spectra and universality of level fluctuation laws

- O. Bohigas, M. J. Giannoni, C. Schmit
- Physics
- 2 January 1984

On trouve que les fluctuations de niveau du billard quantique de Sinai sont consistantes avec les predictions de l'ensemble orthogonal gaussien des matrices aleatoires

1,518 49

Quantum chaotic dynamics and random polynomials

- E. Bogomolny, O. Bohigas, P. Leboeuf
- Mathematics, Physics
- 5 April 1996

We investigate the distribution of roots of polynomials of high degree with random coefficients which, among others, appear naturally in the context of “quantum chaotic dynamics.” It is shown that… Expand

125 6- PDF

Randomly incomplete spectra and intermediate statistics.

- O. Bohigas, M. P. Pato
- Mathematics, Physics
- Physical review. E, Statistical, nonlinear, and…
- 7 August 2006

By randomly removing a fraction of levels from a given spectrum a model is constructed that describes a crossover from this spectrum to a Poisson spectrum. The formalism is applied to the transitions… Expand

45 6- PDF

Chaotic motion and random matrix theories

- O. Bohigas, M. Giannoni
- Mathematics
- 1984

“Cada ciencia ha mester los vocables per los quals mills sia manifestada ; e car a aquesta c iencia ia demostrativa sien mester vocables s escurs e que los homens lecs no han en us, e cat nos facam… Expand

153 5- PDF

Missing levels in correlated spectra

- O. Bohigas, M. P. Pato
- Physics
- 1 March 2004

Complete spectroscopy (measurements of a complete sequence of consecutive levels) is often considered as a prerequisite to extract fluctuation properties of spectra. It is shown how this goal can be… Expand

65 5- PDF

Exact Minimum Eigenvalue Distribution of an Entangled Random Pure State

- S. Majumdar, O. Bohigas, A. Lakshminarayan
- Mathematics, Physics
- 5 November 2007

A recent conjecture regarding the average of the minimum eigenvalue of the reduced density matrix of a random complex state is proved. In fact, the full distribution of the minimum eigenvalue is… Expand

44 5- PDF

Spectral properties of distance matrices

- E. Bogomolny, O. Bohigas, C. Schmit
- Physics
- 29 January 2003

Distance matrices are matrices whose elements are the relative distances between points located on a certain manifold. In all cases considered here all their eigenvalues except one are non-positive.… Expand

52 4- PDF

Large deviations of the maximum eigenvalue in Wishart random matrices

- P. Vivo, S. Majumdar, O. Bohigas
- Physics, Mathematics
- 16 January 2007

We analytically compute the probability of large fluctuations to the left of the mean of the largest eigenvalue in the Wishart (Laguerre) ensemble of positive definite random matrices. We show that… Expand

94 3- PDF

Distributions of conductance and shot noise and associated phase transitions.

- P. Vivo, S. Majumdar, O. Bohigas
- Physics, Medicine
- Physical review letters
- 5 September 2008

For a chaotic cavity with two identical leads each supporting N channels, we compute analytically, for large N, the full distribution of the conductance and the shot noise power and show that in both… Expand

56 3- PDF

Fluctuation Properties of Nuclear Energy Levels and Widths : Comparison of Theory with Experiment

- O. Bohigas, R. Haq, A. Pandey
- Physics
- 1983

We analyze the fluctuation properties of nuclear energy levels and widths with new spectrally averaged measures. A remarkably close agreement between the predictions of random-matrix theories and… Expand

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