Macdonald-level extension of beta ensembles and large-\(N\) limit transition
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Publication:2035927
DOI10.1007/s00220-020-03899-7zbMath1469.82023arXiv2007.06264OpenAlexW3041379570MaRDI QIDQ2035927
Publication date: 2 July 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.06264
Random matrices (probabilistic aspects) (60B20) Interacting particle systems in time-dependent statistical mechanics (82C22) Random matrices (algebraic aspects) (15B52) Other special orthogonal polynomials and functions (33C47) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
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- Quantum analogs of tensor product representations of \(\mathfrak{su}(1,1)\)
- The vector-valued big \(q\)-Jacobi transform
- Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes
- A quantization of the harmonic analysis on the infinite-dimensional unitary group
- Choquet order and simplices with applications in probabilistic models
- \(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
- Sufficient statistics and extreme points
- On Newton interpolation of symmetric functions: A characterization of interpolation Macdonald polynomials
- Symmetric and non-symmetric quantum Capelli polynomials
- Binomial formula for Macdonald polynomials and applications
- Combinatorial formula for Macdonald polynomials and generic Macdonald polynomials.
- The problem of harmonic analysis on the infinite-dimensional unitary group.
- Interpolation Macdonald polynomials and Cauchy-type identities
- An analogue of the big \(q\)-Jacobi polynomials in the algebra of symmetric functions
- Log-gases on quadratic lattices via discrete loop equations and q-boxed plane partitions
- Probability measures on dual objects to compact symmetric spaces, and hypergeometric identities.
- The indeterminate moment problem for the \(q\)-Meixner polynomials
- Gaussian asymptotics of discrete \(\beta \)-ensembles
- Macdonald processes
- BC\(_n\)-symmetric polynomials
- Representations of the Infinite Symmetric Group
- A bilateral extension of the $q$-Selberg integral
- The importance of the Selberg integral
- An Introduction to Random Matrices
- Some Basic Hypergeometric Extensions of Integrals of Selberg and Andrews
- A q-EXTENSION OF CAUCHY'S FORM OF THE BETA INTEGRAL
- Multivariable Big and Little q-Jacobi Polynomials
- Limit Transitions for BC Type Multivariable Orthogonal Polynomials
- Gap probabilities in the finite and scaled Cauchy random matrix ensembles
- The Gelfand-Tsetlin graph and Markov processes
- Rayleigh triangles and non-matrix interpolation of matrix beta integrals
- THE INITIAL AND FINAL BEHAVIOUR OF TRAJECTORIES OF MARKOV PROCESSES
- Matrix models for beta ensembles
- On $BC$ type basic hypergeometric orthogonal polynomials
- The Young bouquet and its boundary
- Infinite random matrices and ergodic measures
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