S. Delvaux

activity

20072014

most citedThe hard edge tacnode process and the hard edge Pearcey process with non-intersecting squared Bessel paths

14 citations · 58 across the 16 of their papers we have counts for

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5 papers · 1 filter

math.CA2012★ 1 cited

High order three-term recursions, Riemann-Hilbert minors and Nikishin systems on star-like sets

Steven Delvaux, Abey López García

We study monic polynomials $Q_{n} (x)$ generated by a high order three-term recursion $x Q_{n} (x) = Q_{n + 1} (x) + a_{n - p} Q_{n - p} (x)$ with arbitrary $p \geq 1$ and $a_{n} > 0$ for all $n$ . The rec…

math.CA2011

A family of Nikishin systems with periodic recurrence coefficients

Steven Delvaux, Abey López García, Guillermo López Lagomasino

Suppose we have a Nikishin system of $p$ measures with the $k$ th generating measure of the Nikishin system supported on an interval $Δ_k\subset\er$ with $Δ_{k} \cap Δ_{k + 1} = \emptyset$ …

math.CA2011

Zeros and ratio asymptotics for matrix orthogonal polynomials

Steven Delvaux, Holger Dette

Ratio asymptotics for matrix orthogonal polynomials with recurrence coefficients $A_{n}$ and $B_{n}$ having limits $A$ and $B$ respectively (the matrix Nevai class) were obtained by Du…

math.CA2009

Average characteristic polynomials for multiple orthogonal polynomial ensembles

Steven Delvaux

Multiple orthogonal polynomials (MOP) are a non-definite version of matrix orthogonal polynomials. They are described by a Riemann-Hilbert matrix Y consisting of four blocks Y_{1,1…

math.CA2007★ 1 cited

Orthogonal Laurent polynomials on the unit circle and snake-shaped matrix factorizations

Ruyman Cruz Barroso, Steven Delvaux

Let there be given a probability measure $μ$ on the unit circle $\TT$ of the complex plane and consider the inner product induced by $μ$ . In this paper we consider the problem of o…