Publications by Olivier Lévêque

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We provide a tight approximate characterization of the n-dimensional product multicommodity flow (PMF) region for a wireless network of n nodes. Separate characterizations in terms of the spectral properties of appropriate network graphs are obtained in bo ...

We study spectral properties of generalized weighted Hilbert matrices. In particular, we establish results on the spectral norm, the determinant, and various relations between the eigenvalues and eigenvectors of such matrices. We also study the asymptotic ...

We consider a large distributed MIMO system where wireless users with single transmit and receive antenna cooperate in clusters to form distributed transmit and receive antenna arrays. We characterize how the capacity of the distributed MIMO transmission s ...

n source and destination pairs randomly located in an area extending linearly with n want to communicate with each other. Signals transmitted from one user to another at distance r apart are subject to a power attenuation of r^{-alpha} and random phase cha ...

n source and destination pairs randomly located in an area want to communicate with each other. Signals transmitted from one user to another at distance r apart are subject to a power attenuation of 1/r^alpha as well as a random phase. We identify exactly ...

In this paper, we investigate the diversity-multiplexing tradeoff (DMT) of the multiple-antenna (MIMO) static half-duplex relay channel. A general expression is derived for the DMT upper bound, which can be achieved by a compress-and-forward protocol at th ...

Ocean currents, prevailing winds, and the hierarchical structures of river networks are known to create asymmetries in re-colonization between habitat patches. The impacts of such asymmetries on metapopulation persistence are seldom considered, especially ...

We consider a wireless network with a large number of source-destination pairs distributed over a line. Under line-of-sight propagation, this network has only one degree of freedom for communication. At high SNR, this one degree of freedom can be readily a ...

The capacity scaling of extended two-dimensional wireless networks is known in the high attenuation regime, i.e. when the power path loss exponent alpha is greater than 4. This has been accomplished by deriving information theoretic upper bounds for this r ...

We derive an information theoretic upper bound on the maximum achievable rate per communication pair in a large extended ad-hoc wireless network. We show that under a reasonably weak assumption on the attenuation due to environment, this rate tends to zero as the number of users gets large.

We derive an information-theoretic upper bound on the rate per communication pair in a large ad hoc wireless network. We show that under minimal conditions on the attenuation due to the environment and for networks with a constant density of users, this ra ...

Olivier Lévêque

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Product Multicommodity Flow in Wireless Networks

On Generalized Weighted Hilbert Matrices

Spatial Degrees of Freedom of Large Distributed MIMO Systems and Wireless Ad Hoc Networks

Exact Capacity Scaling of Extended Wireless Networks

Hierarchical Cooperation Achieves Optimal Capacity Scaling in Ad Hoc Networks

Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay

Effects of Colonization Asymmetries on Metapopulation Persistence

Hierarchical Beamforming for Large One-Dimensional Wireless Networks

Scaling Laws for One and Two-Dimensional Random Wireless Networks in the Low Attenuation Regime

Information theoretic upper bounds on the capacity of large extended ad-hoc wireless networks

Information-Theoretic Upper Bounds on the Capacity of Large Extended Ad Hoc Wireless Networks

Uniform multi-commodity flow in wireless networks with Gaussian fading channels

Flip-and-Forward Achieves the Optimal Diversity-Multiplexing Tradeoff for the Two-Hop MIMO Relay Channel, with Two Relay Antennas

Scaling laws for two-dimensional random ad hoc wireless networks

Asymptotic Capacity of Multi-Level Amplify-and-Forward Relay Networks

Scaling laws for one-dimensional ad hoc wireless networks

Scaling Laws for One-Dimensional Ad Hoc Wireless Networks

On the MIMO Channel Capacity for the Dual and Asymptotic Cases over Hoyt Channels

Hyperbolic stochastic partial differential equations driven by boundary noises

Diversity-Multiplexing Tradeoff for the Slow Fading Interference Channel