Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Mucciconi, Matteo"'
In this paper, we study lower tail probabilities of the height function $\mathfrak{h}(M,N)$ of the stochastic six-vertex model. We introduce a novel combinatorial approach to demonstrate that the tail probabilities $\mathbb{P}(\mathfrak{h}(M,N) \ge r
Externí odkaz:
http://arxiv.org/abs/2407.08530
Autor:
Cuenca, Cesar, Mucciconi, Matteo
We define a measure on tuples of partitions, called the symplectic Schur process, that should be regarded as the right analogue of the Schur process of Okounkov-Reshetikhin for the Cartan type C. The weights of our measure include factors that are un
Externí odkaz:
http://arxiv.org/abs/2407.02415
In this paper, we study large time large deviations for the height function $\mathfrak{h}(x,t)$ of the $q$-deformed polynuclear growth introduced in ABW22 [arXiv:2108.06018]. We show that the upper-tail deviations have speed $t$ and derive an explici
Externí odkaz:
http://arxiv.org/abs/2307.01179
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 using ri
Externí odkaz:
http://arxiv.org/abs/2301.00132
We explore probabilistic consequences of correspondences between $q$-Whittaker measures and periodic and free boundary Schur measures established by the authors in the recent paper [arXiv:2106.11922]. The result is a comprehensive theory of solvabili
Externí odkaz:
http://arxiv.org/abs/2204.08420
Publikováno v:
SIGMA 20 (2024), 064, 28 pages
The Cauchy identities play an important role in the theory of symmetric functions. It is known that Cauchy sums for the $q$-Whittaker and the skew Schur polynomials produce the same factorized expressions modulo a $q$-Pochhammer symbol. We consider t
Externí odkaz:
http://arxiv.org/abs/2106.11913
Iterating the skew RSK correspondence discovered by Sagan and Stanley in the late '80s, we define a deterministic dynamics on the space of pairs of skew Young tableaux $(P,Q)$. We find that this skew RSK dynamics displays conservation laws which, in
Externí odkaz:
http://arxiv.org/abs/2106.11922
Autor:
Mucciconi, Matteo, Petrov, Leonid
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:
http://arxiv.org/abs/2003.14260
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:
http://arxiv.org/abs/1905.06815
In this paper we consider the Higher Spin Six Vertex Model on the lattice $\mathbb{Z}_{\geq 2} \times \mathbb{Z}_{\geq 1}$. We first identify a family of translation invariant measures and subsequently we study the one point distribution of the heigh
Externí odkaz:
http://arxiv.org/abs/1901.08381