Jacobi-Piñeiro Markov chains
DOI10.1007/s13398-023-01510-xzbMath1527.15038OpenAlexW4388269140MaRDI QIDQ6085366
Juan E. F. Díaz, Ana Foulquié Moreno, Manuel Mañas, Amílcar Branquinho, Carlos Álvarez-Fernández
Publication date: 8 November 2023
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-023-01510-x
Markov chainsstochastic matricesmultiple orthogonal polynomialsChristoffel-Darboux formulafirst-passage timesrecurrent statesKarlin-McGregor representation formula
Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47) Stochastic matrices (15B51)
Cites Work
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- Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials
- On a seminal paper by Karlin and McGregor
- Multiple orthogonal polynomials of mixed type: Gauss-Borel factorization and the multi-component 2D Toda hierarchy
- The calculation of the ergodic projection for Markov chains and processes with a countable infinity of states
- Random walks
- Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions
- On simultaneous approximations for a collection of Markov functions
- Algebraic aspects of matrix orthogonality for vector polynomials
- Stochastic processes and orthogonal polynomials
- A Christoffel--Darboux formula for multiple orthogonal polynomials
- Gaussian quadrature for multiple orthogonal polynomials
- Multiple orthogonal polynomials: Pearson equations and Christoffel formulas
- Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations. A Riemann-Hilbert problem perspective
- A Jacobi type Christoffel-Darboux formula for multiple orthogonal polynomials of mixed type
- Multiple Wiener integral
- The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
- The Classification of Birth and Death Processes
- Asymptotic zero distribution for a class of multiple orthogonal polynomials
- Multiple orthogonal polynomials for classical weights
- Extensions of Karlsson–Minton summation theorem and some consequences of the first Miller–Paris transformation
- An urn model for the Jacobi-Piñeiro polynomials
- Encyclopedia of Special Functions: The Askey-Bateman Project
- The Christoffel-Darboux Kernel
- Unitary Dilations of One-Parameter Semigroups of Markov Transition Operators, and the Corresponding Integral Representations for Markov Processes with a Countable Infinity of States
- Spectral theory for the differential equations of simple birth and death processes
- Some classical multiple orthogonal polynomials
- Positive bidiagonal factorization of tetradiagonal Hessenberg matrices
- Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials
- Multiple orthogonal polynomials with respect to Gauss' hypergeometric function
- Hahn multiple orthogonal polynomials of type I: hypergeometric expressions
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