Preprint

Random path in negatively curved manifolds
Adrien Boulanger, Olivier Glorieux
Annee :
Random path in negatively curved manifolds

In this article we consider sequences of random points on non-amenable
coverings of compact manifolds. The sequences are the successive positions of
the trajectories of the Markov process defined recursively by picking a point
uniformly on the Dirichlet domain of the previous one. We prove that the escape
rate is positive in this setting. The main technical point is to show a
non-local isoperimetric inequality from which we get a spectral gap for the
Markov operator. In the case where the covering group is Gromov hyperbolic, we
deduce that almost all trajectories converge in the Gromov boundary and that
the random variables given by the distance from where the process starts
satisfy a central limit theorem.

Random path in negatively curved manifolds
Random path in negatively curved manifolds
Adrien Boulanger, Olivier Glorieux
Annee :
Random path in negatively curved manifolds

In this article we consider sequences of random points on non-amenable
coverings of compact manifolds. The sequences are the successive positions of
the trajectories of the Markov process defined recursively by picking a point
uniformly on the Dirichlet domain of the previous one. We prove that the escape
rate is positive in this setting. The main technical point is to show a
non-local isoperimetric inequality from which we get a spectral gap for the
Markov operator. In the case where the covering group is Gromov hyperbolic, we
deduce that almost all trajectories converge in the Gromov boundary and that
the random variables given by the distance from where the process starts
satisfy a central limit theorem.

Random path in negatively curved manifolds
Enabling Cross-Layer Reliability and Functional Safety Assessment Through ML-Based Compact Models
Dan Alexandrescu, Aneesh Balakrishnan, Thomas Lange, Maximilien Glorieux
Annee :
Enabling Cross-Layer Reliability and Functional Safety Assessment Through ML-Based Compact Models

In this article we consider sequences of random points on non-amenable
coverings of compact manifolds. The sequences are the successive positions of
the trajectories of the Markov process defined recursively by picking a point
uniformly on the Dirichlet domain of the previous one. We prove that the escape
rate is positive in this setting. The main technical point is to show a
non-local isoperimetric inequality from which we get a spectral gap for the
Markov operator. In the case where the covering group is Gromov hyperbolic, we
deduce that almost all trajectories converge in the Gromov boundary and that
the random variables given by the distance from where the process starts
satisfy a central limit theorem.

Enabling Cross-Layer Reliability and Functional Safety Assessment Through ML-Based Compact Models
Atomic diffusion effects on the coherent storage of an image using a gradient echo memory in a warm atomic vapor
Glorieux Q., Clark J., Marino A. M., Lett P. D., Ieee
Annee :
Atomic diffusion effects on the coherent storage of an image using a gradient echo memory in a warm atomic vapor
Atomic diffusion effects on the coherent storage of an image using a gradient echo memory in a warm atomic vapor
Measuring the propagation of information and entanglement in dispersive media
Clark Jeremy B., Glasser Ryan T., Glorieux Quentin, Vogl Ulrich, Li Tian, Jones Kevin M., Lett Paul D., Shahriar Sm, Scheuer J
Annee :
Measuring the propagation of information and entanglement in dispersive media
Measuring the propagation of information and entanglement in dispersive media
Orbital angula rmomentum injection in a polariton superfluid
Boulier T., Glorieux Q., Cancellieri E., Giacobino E., Bramati A., Razeghi M, Tournie E, Brown Gj
Annee :
Orbital angula rmomentum injection in a polariton superfluid
Orbital angula rmomentum injection in a polariton superfluid