Geodesic
YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS
Forum of Mathematics, Sigma, Tome 7 (2019)

Voir la notice de l'article provenant de la source Cambridge University Press

Employing bijectivization of summation identities, we introduce local stochastic moves based on the Yang–Baxter equation for $U_{q}(\widehat{\mathfrak{sl}_{2}})$. Combining these moves leads to a new object which we call the spin Hall–Littlewood Yang–Baxter field—a probability distribution on two-dimensional arrays of particle configurations on the discrete line. We identify joint distributions along down-right paths in the Yang–Baxter field with spin Hall–Littlewood processes, a generalization of Schur processes. We consider various degenerations of the Yang–Baxter field leading to new dynamic versions of the stochastic six-vertex model and of the Asymmetric Simple Exclusion Process. 
@article{10_1017_fms_2019_36,
     author = {ALEXEY BUFETOV and LEONID PETROV},
     title = {YANG{\textendash}BAXTER {FIELD} {FOR} {SPIN} {HALL{\textendash}LITTLEWOOD} {SYMMETRIC} {FUNCTIONS}},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {7},
     year = {2019},
     doi = {10.1017/fms.2019.36},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2019.36/}
}
TY  - JOUR
AU  - ALEXEY BUFETOV
AU  - LEONID PETROV
TI  - YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS
JO  - Forum of Mathematics, Sigma
PY  - 2019
VL  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1017/fms.2019.36/
DO  - 10.1017/fms.2019.36
LA  - en
ID  - 10_1017_fms_2019_36
ER  - 
%0 Journal Article
%A ALEXEY BUFETOV
%A LEONID PETROV
%T YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS
%J Forum of Mathematics, Sigma
%D 2019
%V 7
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1017/fms.2019.36/
%R 10.1017/fms.2019.36
%G en
%F 10_1017_fms_2019_36
ALEXEY BUFETOV; LEONID PETROV. YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS. Forum of Mathematics, Sigma, Tome 7 (2019). doi: 10.1017/fms.2019.36

Cité par Sources :