Exact equivalences and phase discrepancies between random matrix ensembles
From MaRDI portal
Publication:5856872
DOI10.1088/1742-5468/aba594zbMath1459.60014arXiv2003.10475OpenAlexW3098233318MaRDI QIDQ5856872
Miguel Tierz, Leonardo Santilli
Publication date: 30 March 2021
Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.10475
Random matrices (probabilistic aspects) (60B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Random matrices (algebraic aspects) (15B52) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)
Related Items
Multiple phases and meromorphic deformations of unitary matrix models ⋮ Deformed Cauchy random matrix ensembles and large \(N\) phase transitions ⋮ Phases of five-dimensional supersymmetric gauge theories ⋮ Unitary matrix models and random partitions: universality and multi-criticality ⋮ Multiple phases in a generalized Gross-Witten-Wadia matrix model ⋮ Crystal bases and three-dimensional \(\mathcal{N} = 4\) Coulomb branches ⋮ Schur expansion of random-matrix reproducing kernels ⋮ Gaussian distributions on Riemannian symmetric spaces in the large \(N\) limit ⋮ Online learning of Riemannian hidden Markov models in homogeneous Hadamard spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Orthogonality and asymptotics of pseudo-Jacobi polynomials for non-classical parameters
- The Hilbert series of \(\mathcal{N}=1\) \(SO(N_c)\) and \(Sp(N_c)\) SQCD, Painlevé VI and integrable systems
- A Widom like formula for some Toeplitz plus Hankel determinants
- On a relationship between Chebyshev polynomials and Toeplitz determinants
- Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities
- The Hilbert series of U/SU SQCD and Toeplitz determinants
- Free fermions and the classical compact groups
- Moments of discrete orthogonal polynomial ensembles
- Two elementary derivations of the pure Fisher--Hartwig determinant
- Toeplitz matrices and determinants with Fisher-Hartwig symbols
- The longest increasing subsequence in a random permutation and a unitary random matrix model
- Determinants and their applications in mathematical physics
- On certain formulas of Karlin and Szegö
- Level-spacing distributions and the Airy kernel
- Chebyshev polynomials of the second, third and fourth kinds in approximation, indefinite integration, and integral transforms
- Distributions on partitions, point processes, and the hypergeometric kernel
- Derivative moments for characteristic polynomials from the CUE
- Algebraic aspects of increasing subsequences
- Shape fluctuations and random matrices
- Toeplitz minors and specializations of skew Schur polynomials
- Third-order phase transition: random matrices and screened Coulomb gas with hard walls
- A multi-dimensional Markov chain and the Meixner ensemble
- Thermodynamics of the six-vertex model in an L-shaped domain
- UNITARY MATRIX MODELS AND PAINLEVÉ III
- Functions of Difference Matrices Are Toeplitz Plus Hankel
- Universality of the third-order phase transition in the constrained Coulomb gas
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Random Matrices: High Dimensional Phenomena
- An Introduction to Random Matrices
- On the distribution of the length of the longest increasing subsequence of random permutations
- Endliche und unendliche Systeme von kontinuierlichen klassischen Orthogonalpolynomen
- Vicious walkers and hook Young tableaux
- Gap probabilities in the finite and scaled Cauchy random matrix ensembles
- Introduction to Algebraic Geometry
- Asymptotics of Pseudo‐Jacobi Polynomials with Varying Parameters
- Are the Eigenvalues of Banded Symmetric Toeplitz Matrices Known in Almost Closed Form?
- Products and ratios of characteristic polynomials of random Hermitian matrices
- Asymptotics of Plancherel measures for symmetric groups
- Phase transition in complex-time Loschmidt echo of short and long range spin chain
- A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions
- Meet Andréief, Bordeaux 1886, and Andreev, Kharkov 1882–1883
- A finite class of orthogonal functions generated by Routh–Romanovski polynomials
- A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it
- Spectral Properties of Banded Toeplitz Matrices
- Perturbed Hankel determinants
- Combinatorics and Random Matrix Theory
- Matrix models for classical groups and Toeplitz ± Hankel minors with applications to Chern–Simons theory and fermionic models
- Discrete orthogonal polynomial ensembles and the Plancherel measure
- Characteristic polynomials of random matrices.
- Infinite wedge and random partitions
