Finite size corrections relating to distributions of the length of longest increasing subsequences

DOI10.1016/j.aam.2022.102482OpenAlexW4320343134MaRDI QIDQ2687279

Anthony Mays, Peter J. Forrester

Publication date: 1 March 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.05257

Mathematics Subject Classification ID

Convergence of probability measures (60B10)

Related Items

Asymptotic expansions relating to the distribution of the length of longest increasing subsequences

Uses Software

• FXT
• hfloat

Cites Work

• Finite time corrections in KPZ growth models
• Diffusion at the random matrix hard edge
• Hermite and Laguerre \(\beta\)-ensembles: asymptotic corrections to the eigenvalue density
• Symmetric functions and P-recursiveness
• The longest increasing subsequence in a random permutation and a unitary random matrix model
• A variational problem for random Young tableaux
• Level-spacing distributions and the Airy kernel
• Level spacing distributions and the Bessel kernel
• Increasing subsequences and the classical groups
• Optimal soft edge scaling variables for the Gaussian and Laguerre even \(\beta\) ensembles
• Algebraic aspects of increasing subsequences
• The asymptotics of monotone subsequences of involutions
• On orthogonal and symplectic matrix ensembles
• The spectrum edge of random matrix ensembles.
• Asymptotic correlations with corrections for the circular Jacobi \(\beta\)-ensemble
• Limiting distribution of maximal crossing and nesting of Poissonized random matchings
• The Surprising Mathematics of Longest Increasing Subsequences
• Statistical Theory of the Energy Levels of Complex Systems. I
• Relationships between τ-functions and Fredholm determinant expressions for gap probabilities in random matrix theory
• Hard and soft edge spacing distributions for random matrix ensembles with orthogonal and symplectic symmetry
• On the distribution of the length of the longest increasing subsequence of random permutations
• Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem
• Exact results and universal asymptotics in the Laguerre random matrix ensemble
• Increasing subsequences and the hard-to-soft edge transition in matrix ensembles
• Functional form for the leading correction to the distribution of the largest eigenvalue in the GUE and LUE
• Application of theτ-function theory of Painlevé equations to random matrices:P_VI, the JUE, CyUE, cJUE and scaled limits
• Matters Computational
• Finite‐size corrections at the hard edge for the Laguerre β ensemble
• Leading corrections to the scaling function on the diagonal for the two-dimensional Ising model
• On the Numerical Evaluation of Distributions in Random Matrix Theory: A Review
• Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros
• Finite-size corrections in random matrix theory and Odlyzko’s dataset for the Riemann zeros
• On the spacing distribution of the Riemann zeros: corrections to the asymptotic result
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• Random matrix theory and \(\zeta(1/2+it)\).
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item