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20042009
most citedA New Approach for Capacity Analysis of Large Dimensional Multi-Antenna Channels

74 citations

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cs.IT2006★ 74 cited

A New Approach for Capacity Analysis of Large Dimensional Multi-Antenna Channels

Walid Hachem, Oleksiy Khorunzhiy, Philippe Loubaton +2

This paper adresses the behaviour of the mutual information of correlated MIMO Rayleigh channels when the numbers of transmit and receive antennas converge to infinity at the same…

math.CO2006

A generating algorithm for ribbon tableaux and spin polynomials

Francois Descouens

We describe a general algorithm for generating various families of ribbon tableaux and computing their spin polynomials. This algorithm is derived from a new matricial coding. An a…

math.CO2006

Factorization formulas for Macdonald polynomials

Francois Descouens, Hideaki Morita

The aim of this note is to give some factorization formulas for different versions of the Macdonald polynomials when the parameter t is specialized at roots of unity, generalizing…

math.CO2006

Pfaffians and Representations of the Symmetric Group

Alain Lascoux

Pfaffians of matrices with entries z[i,j]/(x\_i+x\_j), or determinants of matrices with entries z[i,j]/(x\_i-x\_j), where the antisymmetrical indeterminates z[i,j] satisfy the Plüc…

math.CO2006

The 6 Vertex Model and Schubert Polynomials

Alain Lascoux

We enumerate staircases with fixed left and right columns. These objects correspond to ice-configurations, or alternating sign matrices, with fixed top and bottom parts. The result…

math.CO2006★ 6 cited

Non-Symmetric Hall-Littlewood Polynomials

Francois Descouens, Alain Lascoux

Using the action of the Yang-Baxter elements of the Hecke algebra on polynomials, we define two bases of polynomials in n variables. The Hall-Littlewood polynomials are a subfamily…