Painlevé functions in statistical physics
From MaRDI portal
Publication:533376
DOI10.2977/PRIMS/38zbMath1221.34240arXiv0912.2362WikidataQ56950548 ScholiaQ56950548MaRDI QIDQ533376
Publication date: 3 May 2011
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.2362
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Exactly solvable models; Bethe ansatz (82B23)
Related Items
Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues, Connection problem of the first Painlevé transcendents with large initial data, Convergence from divergence, A computational exploration of the second Painlevé equation, Galoisian methods for testing irreducibility of order two nonlinear differential equations, Conformal field theory of Painlevé VI, Emptiness formation probability and Painlevé V equation in the XY spin chain, Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I, Factorization of Ising correlations C(M, N) for ν = −k and M + N odd, M ⩽ N, T < T c and their lambda extensions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Current fluctuations for TASEP: A proof of the Prähofer-Spohn conjecture
- Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function
- Reaction-diffusion processes, critical dynamics, and quantum chains
- Limiting distributions for a polynuclear growth model with external sources
- Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
- Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
- Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices
- Random Matrices: High Dimensional Phenomena
- On the distribution of the length of the longest increasing subsequence of random permutations
- Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory
- On the Numerical Evaluation of Distributions in Random Matrix Theory: A Review
- Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum.
