423 citations
- Centre National de la Recherche ScientifiqueFR17 papers
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26 papers · 1 filter
Spectral methods for bivariate Markov processes with diffusion and discrete components and a variant of the Wright-Fisher model
Manuel D. de la Iglesia
The aim of this paper is to study differential and spectral properties of the infinitesimal operator of two dimensional Markov processes with diffusion and discrete components. The…
Scaling Behavior of Convolutional LDPC Ensembles over the BEC
Pablo M. Olmos, Rüdiger Urbanke
We study the scaling behavior of coupled sparse graph codes over the binary erasure channel. In particular, let 2L+1 be the length of the coupled chain, let M be the number of vari…
Partial Bell-state analysis with parametric down conversion in the Wigner function formalism
A. Casado, S. Guerra, J. Plácido
We apply the Wigner function formalism to partial Bell-state analysis using polarization entanglement produced in parametric down conversion. Two-photon statistics at a beam-splitt…
Simplification Techniques for Maps in Simplicial Topology
Rocio Gonzalez-Diaz, Pedro Real
This paper offers an algorithmic solution to the problem of obtaining "economical" formulae for some maps in Simplicial Topology, having, in principle, a high computational cost in…
A Tool for Integer Homology Computation: Lambda-At Model
Rocio Gonzalez-Diaz, Maria Jose Jimenez, Belen Medrano +1
In this paper, we formalize the notion of lambda-AT-model (where is a non-null integer) for a given chain complex, which allows the computation of homological information in th…
On the Cohomology of 3D Digital Images
Rocio Gonzalez-Diaz, Pedro Real
We propose a method for computing the cohomology ring of three--dimensional (3D) digital binary-valued pictures. We obtain the cohomology ring of a 3D digital binary--valued pictur…