4 citations · 4 across the 6 of their papers we have counts for
8 papers
Invariant pseudo-unitary matrix ensembles and local statistics and conductance fluctuations of the DMPK ensemble
Dong Wang, Thomas Wolfs
We consider the DMPK ensemble, which models quantum transport in a disordered wire, and describe its limiting local statistics as the number of particles tends to infinity. In the…
Limit theorems for Coulomb gases on a Jordan curve in an external potential
Kurt Johansson, Thomas Wolfs
We consider a Coulomb gas on a Jordan curve in an external potential at inverse temperature and obtain an asymptotic expansion of the free energy up to and a c…
Multiple orthogonal polynomial ensembles of derivative type
Thomas Wolfs
We characterize the biorthogonal ensembles that are both a multiple orthogonal polynomial ensemble and a polynomial ensemble of derivative type (also called a Pólya ensemble). We f…
Classical discrete multiple orthogonal polynomials: hypergeometric and integral representations
Amílcar Branquinho, Juan E. F. Díaz, Ana Foulquié-Moreno +2
This work explores classical discrete multiple orthogonal polynomials, including Hahn, Meixner of the first and second kinds, Kravchuk, and Charlier polynomials, with an arbitrary…
Integral and hypergeometric representations for multiple orthogonal polynomials
Amílcar Branquinho, Juan EF Díaz, Ana Foulquié-Moreno +2
This paper addresses two primary objectives in the realm of classical multiple orthogonal polynomials with an arbitrary number of weights. Firstly, it establishes new and explicit…
Rational approximation of Euler's constant using multiple orthogonal polynomials
Thomas Wolfs, Walter Van Assche
We construct new rational approximants of Euler's constant that improve those of Aptekarev et al. (2007) and Rivoal (2009). The approximants are given in terms of certain (mixed ty…
Applications of multiple orthogonal polynomials with hypergeometric moment generating functions
Thomas Wolfs
We investigate several families of multiple orthogonal polynomials associated with weights for which the moment generating functions are hypergeometric series with slightly varying…
Multiple orthogonal polynomials associated with the exponential integral
Walter Van Assche, Thomas Wolfs
We introduce a new family of multiple orthogonal polynomials satisfying orthogonality conditions with respect to two weights on the positive real line, with $w_1(x)=x^α…