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Inertial waves in a rotating spherical shell: attractors and asymptotic spectrum

- M. Rieutord, B. Georgeot, L. Valdettaro
- MathematicsJournal of Fluid Mechanics
- 5 July 2000

We investigate the asymptotic properties of inertial modes confined in a spherical shell when viscosity tends to zero. We first consider the mapping made by the characteristics of the hyperbolic… Expand

Basin entropy: a new tool to analyze uncertainty in dynamical systems

- Alvar Daza, A. Wagemakers, B. Georgeot, D. Guéry-Odelin, M. Sanjuán
- Computer ScienceScientific reports
- 8 May 2016

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Asymptotic analysis of high-frequency acoustic modes in rapidly rotating stars

- F. Lignières, B. Georgeot
- Physics
- 10 March 2009

The asteroseismology of rapidly rotating pulsating stars is hindered by our poor knowledge of the effect of the rotation on the oscillation properties. Here we present an asymptotic analysis of… Expand

Scaling Theory of the Anderson Transition in Random Graphs: Ergodicity and Universality.

- I. García-Mata, O. Giraud, B. Georgeot, J. Martín, R. Dubertrand, G. Lemarié
- Physics, MathematicsPhysical review letters
- 9 September 2016

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Spectral properties of the Google matrix of the World Wide Web and other directed networks

- B. Georgeot, O. Giraud, D. Shepelyansky
- Computer SciencePhysical review. E, Statistical, nonlinear, and…
- 17 February 2010

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Integrability and Quantum Chaos in Spin Glass Shards

- B. Georgeot, D. Shepelyansky
- Physics
- 8 July 1998

We study spin glass clusters ("shards") in a random transverse magnetic field, and determine the regime where quantum chaos and random matrix level statistics emerge from the integrable limits of… Expand

Analysis of singular inertial modes in a spherical shell: the slender toroidal shell model

- M. Rieutord, L. Valdettaro, B. Georgeot
- PhysicsJournal of Fluid Mechanics
- 1 July 2002

We derive the asymptotic spectrum (as the Ekman number E → 0) of axisymmetric inertial modes when the problem is restricted to two dimensions. We show that the damping rate of such modes scales with… Expand

Breit-Wigner Width and Inverse Participation Ratio in Finite Interacting Fermi Systems

- B. Georgeot, D. Shepelyansky
- Physics
- 22 July 1997

For many-body Fermi systems we determine the dependence of the Breit-Wigner width and inverse participation ratio (IPR) on interaction strength U > Uc and energy excitation dE > dE_ch when a… Expand

Wave chaos in rapidly rotating stars.

- F. Lignières, B. Georgeot
- PhysicsPhysical review. E, Statistical, nonlinear, and…
- 12 March 2008

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Exponential gain in quantum computing of quantum chaos and localization.

- B. Georgeot, D. Shepelyansky
- Physics, Computer SciencePhysical review letters
- 2 October 2000

We present a quantum algorithm which simulates the quantum kicked rotator model exponentially faster than classical algorithms. This shows that important physical problems of quantum chaos,… Expand

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