Expansion of k-Schur functions for maximal rectangles within the affine nilCoxeter algebra, Journal of Combinatorics, vol.3, issue.3, pp.563-589, 2012. ,
Parametrization of canonical bases and totally positive matrices, Adv. in Math, vol.122, issue.1, pp.49-149, 1996. ,
, Total positivity: test and parametrizations, vol.22, pp.23-33, 2000.
Asymptotic representation theory of the symmetric group and its applications in analysis, AMS Translation of Mathematical Monographs, vol.219, 2003. ,
Computational Commutative Algebra 2, Computational Commutative Algebra, vol.1, 2005. ,
Schubert polynomials for the affine Grassmannian, J. Amer. Math. Soc, vol.21, issue.1, pp.259-281, 2008. ,
Affine Stanley symmetric functions, American Journal of Mathematics, vol.128, issue.6, pp.1553-1586, 2006. ,
The shape of a random affine Weyl group element and random core partitions, Annals of Probability, vol.43, issue.4, pp.1643-1662, 2015. ,
Schubert polynomials for the affine Grassmannian of the symplectic group, Math. Zeit, vol.264, issue.4, pp.765-811, 2010. ,
, , 2014.
, Tableaux atoms and a new Macdonald positivity conjecture, vol.116, pp.103-146, 2003.
Conditioned random walks from Kac-Moody root systems, Transactions of the AMS, vol.368, issue.5, pp.3177-3210, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-00833657
, Harmonic functions on multiplicative graphs and weight polytopes of representations
Symmetric functions, 1998. ,
Independence in algebraic complexity theory, Doctoral dissertation, 2013. ,
Crystal approach to affine Schubert Calculus, IMRN, vol.8, pp.2239-2294, 2016. ,
A path-transformation for random walks and the Robinson-Schensted correspondence, Trans. Amer. Math. Soc, vol.355, pp.3669-3697, 2003. ,
Affine Stanley symmetric functions for classical types, Journal of Algebraic Combinatorics, vol.36, issue.4, pp.595-622, 2012. ,
Algebraic Independence: Criteria and Structural Results over Diverse Fields, Doctoral dissertation, 2015. ,
Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties, JAMS, vol.16, issue.2, pp.363-392, 2002. ,
A mirror construction for the totally nonnegative part of the Peterson variety, Nagoya Mathematical Journal, vol.183, pp.105-142, 2006. ,