Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Matteo Mucciconi"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 12 (2024)
The box-ball system (BBS), which was introduced by Takahashi and Satsuma in 1990, is a soliton cellular automaton. Its dynamics can be linearized by a few methods, among which the best known is the Kerov–Kirillov–Reschetikhin (KKR) bijection usin
Externí odkaz:
https://doaj.org/article/245a71f8f456478188c33104bc06654f
Autor:
Takashi Imamura1 imamura@math.s.chiba-u.ac.jp, Matteo Mucciconi2 matteomucciconi@gmail.com, Tomohiro Sasamoto2 sasamoto@phys.titech.ac.jp
Publikováno v:
Forum of Mathematics, Pi. 10/18/2023, Vol. 11, p1-101. 101p.
Publikováno v:
Probability Theory and Related Fields. 177:923-1042
In this paper we consider the Higher Spin Six Vertex Model on the lattice $${\mathbb {Z}}_{\ge 2} \times {\mathbb {Z}}_{\ge 1}$$ . We first identify a family of translation invariant measures and subsequently we study the one point distribution of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e57c77856b90e5d93cb3c1644741258a
https://doi.org/10.1007/s00440-020-00966-x
https://doi.org/10.1007/s00440-020-00966-x
Publikováno v:
Stochastic Analysis, Random Fields and Integrable Probability — Fukuoka 2019 ISBN: 9784864970952
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f97101dae08a71b039c788a2a9214acc
https://doi.org/10.2969/aspm/08710261
https://doi.org/10.2969/aspm/08710261
Autor:
Leonid Petrov, Matteo Mucciconi
Spin $q$-Whittaker symmetric polynomials labeled by partitions $\lambda$ were recently introduced by Borodin and Wheeler (arXiv:1701.06292) in the context of integrable $\mathfrak{sl}_2$ vertex models. They are a one-parameter deformation of the $t=0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39710964f4fd1756bbc2876e99a4720f
Bijectivization refines the Yang-Baxter equation into a pair of local Markov moves which randomly update the configuration of the vertex model. Employing this approach, we introduce new Yang-Baxter random fields of Young diagrams based on spin $q$-Wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f80e27ba740522f08fb8188d3c3c249