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math.PR2022★ 6 cited
Solvable models in the KPZ class: approach through periodic and free boundary Schur measures
Takashi Imamura, Matteo Mucciconi, Tomohiro Sasamoto
We explore probabilistic consequences of correspondences between -Whittaker measures and periodic and free boundary Schur measures established by the authors in the recent paper…
math.PR2020
Spin q-Whittaker polynomials and deformed quantum Toda
Matteo Mucciconi, Leonid Petrov
Spin -Whittaker symmetric polynomials labeled by partitions were recently introduced by Borodin and Wheeler (arXiv:1701.06292) in the context of integrable …
math.PR2019
Yang-Baxter random fields and stochastic vertex models
Alexey Bufetov, Matteo Mucciconi, Leonid Petrov
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 introduc…