3 papers
nlin.SI2026
Discrete equations from Bäcklund transformations of the fifth Painlevé equation
Peter A. Clarkson, Clare Dunning, Ben Mitchell
In this paper discrete equations are derived from Bäcklund transformations of the fifth Painlevé equation, including a new discrete equation which has ternary symmetry. There are…
nlin.SI2025
Symmetric Sextic Freud Weight
Peter A. Clarkson, Kerstin Jordaan, Ana Loureiro
This paper investigates properties of the sequence of coefficients in the recurrence relation satisfied by the sequence of monic symmetric polynomials, orthogonal…
math-ph2025
Special solutions of a discrete Painlevé equation for quantum minimal surfaces
Peter A. Clarkson, Anton Dzhamay, Andrew N. W. Hone +1
We consider solutions of a discrete Painlevé equation arising from a construction of quantum minimal surfaces by Arnlind, Hoppe and Kontsevich, and in earlier work of Cornalba and…