Showing 1–20 of 44 results
/ Date/ Name
Jul 21, 1999The Lanczos Algorithm for extensive Many-Body Systems in the Thermodynamic LimitAug 23, 2000Gap Probabilities for Edge Intervals in Finite Gaussian and Jacobi Unitary Matrix EnsemblesSep 14, 2000Exact Wigner surmise type evaluation of the spacing distribution in the bulk of the scaled random matrix ensemblesJul 21, 1999Moment Formalisms applied to a solvable Model with a Quantum Phase Transition. I. Exponential Moment MethodsDec 24, 1997The exact realisation of the Lanczos Method for a quantum Many-Body SystemSep 14, 2000Gap probabilities in the finite and scaled Cauchy random matrix ensemblesAug 23, 2000Integrability, Random Matrices and Painlevé TranscendentsFeb 16, 1996Analytic Solution for the Ground State Energy of the Extensive Many-Body ProblemMar 21, 2001Application of the $τ$-Function Theory of Painlevé Equations to Random Matrices: PIV, PII and the GUEDec 24, 1997The Analytic Lanczos MethodDec 29, 2000Discriminants and Functional Equations for Polynomials Orthogonal on the Unit CircleSep 11, 2012Joint distribution of the first and second eigenvalues at the soft edge of unitary ensemblesNov 25, 2008Bi-orthogonal systems on the unit circle, Regular Semi-Classical Weights and Integrable Systems - IIMay 15, 2014On a Family of Integrals that extend the Askey-Wilson IntegralNov 29, 2020On the Density arising from the Domain of Attraction between Sum and Supremum: the $α$-Sun operatorFeb 3, 19972D XXZ Model ground state Properties using an analytic Lanczos ExpansionJul 30, 2003Gap Probabilities for Double Intervals in Hermitian Random Matrix Ensembles as $τ$-Functions -- Spectrum Singularity caseApr 4, 2002Application of the $τ$-function theory of Painlevé equations to random matrices: \PVI, the JUE, CyUE, cJUE and scaled limitsDec 20, 2004Bi-orthogonal Polynomials on the Unit Circle, regular semi-classical Weights and Integrable SystemsMay 23, 2011Fredholm Determinant evaluations of the Ising Model diagonal correlations and their λ- generalisation