The Shifted Schur Process and Asymptotics of Large Random Strict Plane Partitions
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Publication:5428211
DOI10.1093/imrn/rnm043zbMath1126.05100arXivmath-ph/0702068OpenAlexW2130921121MaRDI QIDQ5428211
Publication date: 28 November 2007
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0702068
Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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The free boundary Schur process and applications. I ⋮ Using periodicity to obtain partition congruences ⋮ Correlation kernels for discrete symplectic and orthogonal ensembles ⋮ KPZ and Airy limits of Hall-Littlewood random plane partitions ⋮ A Macdonald refined topological vertex ⋮ Sign changes in statistics for plane partitions ⋮ A new solvable two-matrix model and the BKP tau function ⋮ Plane overpartitions and cylindric partitions ⋮ Two-point convergence of the stochastic six-vertex model to the Airy process ⋮ Skew doubled shifted plane partitions: calculus and asymptotics ⋮ Global universality of Macdonald plane partitions ⋮ BKP hierarchy and Pfaffian point process ⋮ The periodic Schur process and free fermions at finite temperature ⋮ Higher spin six vertex model and symmetric rational functions ⋮ Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles ⋮ Pfaffian point processes from free fermion algebras: perfectness and conditional measures ⋮ Free field theory and observables of periodic Macdonald processes ⋮ A generalization of MacMahon’s formula ⋮ Matrix kernels for measures on partitions
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