The work delivers the first full classification of extremal invariant measures for a half-space KPZ-class model and proves convergence to the Busemann process from arbitrary initial conditions with given slope.
Correlation functions for symmetrized increasing subsequences
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
We show that the correlation functions associated to symmetrized increasing subsequence problems can be expressed as pfaffians of certain antisymmetric matrix kernels, thus generalizing the result of math.RT/9907127 for the unsymmetrized case.
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Introduces a two-color lift of the shifted Schur measure on pairs of partitions and derives its normalization, marginals, transition kernel, and independence of color volumes.
Exact sampling algorithm for Pfaffian point processes via skew-symmetric Cholesky factorization, together with a symplectic Arnoldi method for constructing skew-orthogonal polynomial kernels.
citing papers explorer
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Invariant measures for half-space geometric LPP: classification and the one force--one solution principle
The work delivers the first full classification of extremal invariant measures for a half-space KPZ-class model and proves convergence to the Busemann process from arbitrary initial conditions with given slope.
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A Two-Color Lift of the Shifted $t$-Schur Measure
Introduces a two-color lift of the shifted Schur measure on pairs of partitions and derives its normalization, marginals, transition kernel, and independence of color volumes.
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Sampling Pfaffian point processes and the symplectic Arnoldi method
Exact sampling algorithm for Pfaffian point processes via skew-symmetric Cholesky factorization, together with a symplectic Arnoldi method for constructing skew-orthogonal polynomial kernels.