372 citations
- Centre National de la Recherche ScientifiqueFR95 papers
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10 papers · 1 filter
On a Low-Rate TLDPC Code Ensemble and the Necessary Condition on the Linear Minimum Distance for Sparse-Graph Codes
Iryna Andriyanova, Jean-Pierre Tillich
This paper addresses the issue of design of low-rate sparse-graph codes with linear minimum distance in the blocklength. First, we define a necessary condition which needs to be sa…
Weight Distributions of Multi-Edge type LDPC Codes
Kenta KASAI, Tomoharu AWANO, David DECLERCQ +2
The multi-edge type LDPC codes, introduced by Richardson and Urbanke, present the general class of structured LDPC codes. In this paper, we derive the average weight distributions…
Geometric methods for nonlinear many-body quantum systems
Mathieu Lewin
Geometric techniques have played an important role in the seventies, for the study of the spectrum of many-body Schrödinger operators. In this paper we provide a formalism which al…
Optimized IR-HARQ Schemes Based on Punctured LDPC Codes over the BEC
Iryna Andriyanova, Emina Soljanin
We study incremental redundancy hybrid ARQ (IR-HARQ) schemes based on punctured, finite-length, LDPC codes. The transmission is assumed to take place over time varying binary erasu…
Stability of the line soliton of the KP-II equation under periodic transverse perturbations
Tetsu Mizumachi, Nikolay Tzvetkov
We prove the nonlinear stability of the KdV solitary waves considered as solutions of the KP-II equation, with respect to periodic transverse perturbations.
Dynamical mobility edge for various random Landau Hamiltonians
François Germinet, Constanza Rojas-Molina
We review recent results obtained within the framework of the integer quantum Hall effect in the spirit of the work of Germinet, Klein, Schenker in \cite{GKS}. Landau Hamiltonians…