3 papers
math.CA2026
A Riemann-Hilbert representation for Sobolev orthogonal polynomials
Alex Little
In this article we consider polynomials orthogonal with respect to the inner product $$\langle P,Q \rangle_S = \int_{\mathbb{R}}P(x)Q(x) \mathrm{e}^{-V(x)} \, \mathrm{d}x + λ\int_{…
math.PR2026
Large deviations of the periodic Toda chain
Tamara Grava, Alice Guionnet, Karol K. Kozlowski +1
This work establishes a large deviation principle for the spectral measure of the Lax matrix associated to the periodic Toda chain of particles, subject to a generalised Gibbs…
math-ph2024
A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type
Alex Little
We present a representation of skew-orthogonal polynomials of symplectic type () in terms of a matrix Riemann-Hilbert problem, for weights of the form where…