457 citations · 3.8k across the 61 of their papers we have counts for
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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…
Asymmetric stochastic transport models with symmetry
Gioia Carinci, Cristian Giardina', Frank Redig +1
By using the algebraic construction outlined in \cite{CGRS}, we introduce several Markov processes related to the quantum Lie algebra. These p…
A generalized Asymmetric Exclusion Process with stochastic duality
Gioia Carinci, Cristian Giardina', Frank Redig +1
We study a new process, which we call ASEP, where particles move asymmetrically on a one-dimensional integer lattice with a bias determined by and where at most…
From duality to determinants for q-TASEP and ASEP
Alexei Borodin, Ivan Corwin, Tomohiro Sasamoto
We prove duality relations for two interacting particle systems: the -deformed totally asymmetric simple exclusion process (-TASEP) and the asymmetric simple exclusion proces…
Maximum of Dyson Brownian motion and non-colliding systems with a boundary
Alexei Borodin, Patrik L. Ferrari, Michael Praehofer +2
We prove an equality-in-law relating the maximum of GUE Dyson's Brownian motion and the non-colliding systems with a wall. This generalizes the well known relation between the maxi…