22 citations · 87 across the 7 of their papers we have counts for
7 papers
On the Density arising from the Domain of Attraction between Sum and Supremum: the -Sun operator
N. S. Witte, P. E. Greenwood
We explore the analytic properties of the density function , , , which arises from the domain of attraction problem for a stati…
Construction of a Lax Pair for the -Painlevé System
Nicholas S. Witte, Christopher M. Ormerod
We construct a Lax pair for the -Painlevé system from first principles by employing the general theory of semi-classical orthogonal polynomial systems characterised…
Isomonodromic deformation theory and the next-to-diagonal correlations of the anisotropic square lattice Ising model
N. S. Witte
In 1980 Jimbo and Miwa evaluated the diagonal two-point correlation function of the square lattice Ising model as a -function of the sixth Painlevé system by constructing an ass…
The Lanczos Algorithm for extensive Many-Body Systems in the Thermodynamic Limit
N. S. Witte, D. Bessis
We establish rigourously the scaling properties of the Lanczos process applied to an arbitrary extensive Many-Body System which is carried to convergence n to infinity and the ther…
2D XXZ Model ground state Properties using an analytic Lanczos Expansion
N. S. Witte, L. C. L. Hollenberg, Zheng Weihong
We develop the formalism for calculating arbitrary expectation values for any extensive lattice Hamiltonian system using a new analytic Lanczos expansion, or plaquette expansion, a…
Exact Solution to the Moment Problem for the XY Chain
N. S. Witte
We present the exact solution to the moment problem for the spin-1/2 isotropic antiferromagnetic XY chain with explicit forms for the moments with respect to the Neel state, the cu…