Absorbing time asymptotics in the oriented swap process

DOI10.1214/21-AAP1695zbMath1489.82053arXiv2003.06479MaRDI QIDQ2134282

Dan Romik, Vadim Gorin, Alexey I. Bufetov

Publication date: 6 May 2022

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.06479

zbMATH Keywords

totally asymmetric simple exclusion processinteracting particle systemlast passage percolationoriented swap process

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Shift-invariance of the colored TASEP and finishing times of the oriented swap process ⋮ Cutoff profile of the metropolis biased card shuffling

Uses Software

• OrientedSwaps

Cites Work

• Stochastic six-vertex model
• A pattern theorem for random sorting networks
• \(q\)-distributions on boxed plane partitions
• Random subnetworks of random sorting networks
• The oriented swap process
• Convergence of the stochastic six-vertex model to the ASEP, stochastic six-vertex model and ASEP
• The local limit of random sorting networks
• The asymptotics of monotone subsequences of involutions
• Shape fluctuations and random matrices
• Color-position symmetry in interacting particle systems
• Symmetries of stochastic colored vertex models
• Hidden invariance of last passage percolation and directed polymers
• Sorting networks, staircase Young tableaux, and last passage percolation
• Random sorting networks: local statistics via random matrix laws
• GOE and \(\text{Airy}_{2\rightarrow 1}\) marginal distribution via symplectic Schur functions
• Random sorting networks
• Fluctuation properties of the TASEP with periodic initial configuration
• Observables of coloured stochastic vertex models and their polymer limits
• The Surprising Mathematics of Longest Increasing Subsequences
• Circular support in random sorting networks

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