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

collaborators

Showing 2012Show all

3 papers · 1 filter

math.PR2012

The tacnode kernel: equality of Riemann-Hilbert and Airy resolvent formulas

Steven Delvaux

We study nonintersecting Brownian motions with two prescribed starting and ending positions, in the neighborhood of a tacnode in the time-space plane. Several expressions have been…

math.PR2012★ 13 cited

Non-intersecting squared Bessel paths at a hard-edge tacnode

Steven Delvaux

The squared Bessel process is a 1-dimensional diffusion process related to the squared norm of a higher dimensional Brownian motion. We study a model of $n$ non-intersecting square…

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…