The periodic Schur process and free fermions at finite temperature
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Publication:1732744
DOI10.1007/s11040-018-9299-8zbMath1409.82010arXiv1807.09022OpenAlexW2883967546WikidataQ128590126 ScholiaQ128590126MaRDI QIDQ1732744
Publication date: 25 March 2019
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.09022
determinantal point processesSchur processfree fermionsintegrable probabilityrandom integer partitions
Symmetric functions and generalizations (05E05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)
Related Items (16)
Noninteracting fermions in a trap and random matrix theory ⋮ Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel ⋮ Skew RSK dynamics: Greene invariants, affine crystals and applications toq-Whittaker polynomials ⋮ Multicritical random partitions ⋮ Peaks of cylindric plane partitions ⋮ Universality for multiplicative statistics of Hermitian random matrices and the integro-differential Painlevé II equation ⋮ New approach to KPZ models through free fermions at positive temperature ⋮ Bijective enumeration of planar bipartite maps with three tight boundaries, or how to slice pairs of pants ⋮ Integrable equations associated with the finite‐temperature deformation of the discrete Bessel point process ⋮ Two counterparts of the TFK formula for cylinder graphs ⋮ Multicritical Schur measures and higher-order analogues of the Tracy-Widom distribution ⋮ Free fermion six vertex model: symmetric functions and random domino tilings ⋮ Free field theory and observables of periodic Macdonald processes ⋮ Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations ⋮ New edge asymptotics of skew Young diagrams via free boundaries ⋮ Lozenge tilings and the Gaussian free field on a cylinder
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