Geodesic
Fluctuations of central measures on partitions
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) (2012).

Voir la notice de l'article provenant de la source Episciences

We study the fluctuations of models of random partitions $(\mathbb{P}_n,ω )_n ∈\mathbb{N}$ stemming from the representation theory of the infinite symmetric group. Using the theory of polynomial functions on Young diagrams, we establish a central limit theorem for the values of the irreducible characters $χ ^λ$ of the symmetric groups, with $λ$ taken randomly according to the laws $\mathbb{P}_n,ω$ . This implies a central limit theorem for the rows and columns of the random partitions, and these ``geometric'' fluctuations of our models can be recovered by relating central measures on partitions, generalized riffle shuffles, and Brownian motions conditioned to stay in a Weyl chamber. 
@article{DMTCS_2012_special_263_a34,
     author = {M\`eliot, Pierre-Lo{\"\i}c},
     title = {Fluctuations of central measures on partitions},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)},
     year = {2012},
     doi = {10.46298/dmtcs.3048},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3048/}
}
TY  - JOUR
AU  - Mèliot, Pierre-Loïc
TI  - Fluctuations of central measures on partitions
JO  - Discrete mathematics & theoretical computer science
PY  - 2012
VL  - DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3048/
DO  - 10.46298/dmtcs.3048
LA  - en
ID  - DMTCS_2012_special_263_a34
ER  - 
%0 Journal Article
%A Mèliot, Pierre-Loïc
%T Fluctuations of central measures on partitions
%J Discrete mathematics & theoretical computer science
%D 2012
%V DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3048/
%R 10.46298/dmtcs.3048
%G en
%F DMTCS_2012_special_263_a34
Mèliot, Pierre-Loïc. Fluctuations of central measures on partitions. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) (2012). doi : 10.46298/dmtcs.3048. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3048/

Cité par Sources :