Correlation functions for symmetrized increasing subsequences
arXiv:math/0006097
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.
29 pages, LaTeX
Cited by in corpus (49)
- Anyons in an exactly solved model and beyond
- Eynard-Mehta theorem, Schur process, and their pfaffian analogs
- Universality of the local spacing distribution in certain ensembles of hermitian Wigner matrices
- Random matrices and determinantal processes
- The Ginibre ensemble of real random matrices and its scaling limits
- Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues
- Determinant formula for the octagon form factor in =4 SYM
- Pfaffian Schur processes and last passage percolation in a half-quadrant
- Extremal laws for the real Ginibre ensemble
- The free boundary Schur process and applications I
- A Pfaffian representation for flat ASEP
- Infinite systems of non-colliding generalized meanders and Riemann-Liouville differintegrals
- Half-space Macdonald processes
- Facilitated exclusion process
- One-dimensional stochastic growth and Gaussian ensembles of random matrices
- Asymptotic Four Point Functions
- Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
- Noncolliding processes, matrix-valued processes and determinantal processes
- Stationary half-space last passage percolation
- A real quaternion spherical ensemble of random matrices
- Correlation Functions for β=1 Ensembles of Matrices of Odd Size
- Janossy Densities of Coupled Random Matrices
- The lower tail of the half-space KPZ equation
- BKP hierarchy and Pfaffian point process
- Lyapunov exponents of the half-line SHE
- Correlation Functions of the Pfaffian Schur Process Using Macdonald Difference Operators
- Correlation Functions of Asymmetric Real Matrices
- Transition between characters of classical groups, decomposition of Gelfand-Tsetlin patterns and last passage percolation
- Asymptotic expansions for a class of Fredholm Pfaffians and interacting particle systems
- Correlations for symplectic and orthogonal Schur measures
- The Partition Function of Multicomponent Log-Gases
- Pfaffian Point Processes from Free Fermion Algebras: Perfectness and Conditional Measures
- Random Strict Partitions and Determinantal Point Processes
- Pfaffian Stochastic Dynamics of Strict Partitions
- Alpha-Pfaffian, pfaffian point process and shifted Schur measure
- On the combinatorics of last passage percolation in a quarter square and fluctuations
- Ensemble Averages when βis a Square Integer
- Giambelli compatible point processes
- Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions
- Non-colliding system of Brownian particles as Pfaffian process
- A Solvable Mixed Charge Ensemble on the Line: Global Results
- Correlation functions for random involutions
- Conditional measures for Pfaffian point processes: conditioning on a bounded domain
- The half-space Airy stat process
- On Measures on Partitions Arising in Harmonic Analysis for Linear and Projective Characters of the Infinite Symmetric Group
- On sampling determinantal and Pfaffian point processes on a quantum computer
- Hyperdeterminantal expressions for Jack functions of rectangular shapes
- Singular Value Statistics for the Spiked Elliptic Ginibre Ensemble
- Representation theory of the infinite symmetric group and Pfaffian point processes