N. Witte

发表

Fredholm Determinant Evaluations of the Ising Model Diagonal Correlations and their λ Generalization

P. Forrester, N. Witte, 2011, 1105.4389.

Construction of a Lax Pair for the E6(1)q-Painlevé System

N. Witte, C. Ormerod, 2012, 1207.0041.

Hypergeometric solutions to the q-Painleve equation of type $$ _ + _ ^{\prime })}^ $$

K. Kajiwara, N. Witte, T. Hamamoto, 2006 .

Application of the τ-function theory of Painlevé equations to random matrices: PVI , the JUE, CyUE, cJUE and scaled limits

P. Forrester, N. Witte, 2002, Nagoya Mathematical Journal.

The Analytic Lanczos Method

N. Witte, 1997, cond-mat/9712283.

the LUE , JUE and CUE

P. Forrester, N. Witte, 2002 .

Hypergeometric Solutions to the q-Painlev\'e Equation of Type $(A_1+A_1')^{(1)}$

K. Kajiwara, N. Witte, T. Hamamoto, 2006, nlin/0607065.

On the Density arising from the Domain of Attraction between Sum and Supremum: the $\alpha$-Sun operator.

P. Greenwood, N. Witte, 2020, 2011.14455.

The Lanczos algorithm for extensive many-body systems in the thermodynamic limit

D. Bessis, N. Witte, 1999, math-ph/9907016.

Application of the τ-Function Theory¶of Painlevé Equations to Random Matrices:¶PIV, PII and the GUE

P. Forrester, N. Witte, 2001, math-ph/0103025.

Moments of the Gaussian $\beta$ Ensembles and the large-$N$ expansion of the densities

P. Forrester, N. Witte, 2013, 1310.8498.

Gap probabilities for the Bures-Hall Ensemble and the Cauchy-Laguerre Two-Matrix Model

N. Witte, L. Wei, L. Wei, 2022, 2208.03278.

Bi-orthogonal Polynomials on the Unit Circle, Regular Semi-Classical Weights and Integrable Systems

P. Forrester, N. Witte, 2004, math/0412394.

Discrete Painlev\'e equations, Orthogonal Polynomials on the Unit Circle and $N$-recurrences for averages over U(N) -- \PVI $\tau$-functions

P. Forrester, N. Witte, 2003, math-ph/0308036.

Discrete Painlev\'e equations, Orthogonal Polynomials on the Unit Circle and N-recurrences for averages over U(N) -- \PIIIa and \PV $\tau$-functions

P. Forrester, N. Witte, 2003, math-ph/0305029.

Integrable Differential Systems for Deformed Laguerre-Hahn Orthogonal Polynomials

M. N. Rebocho, N. Witte, 2022, 2205.14245.

Discrete Painlevé equations and random matrix averages

P. Forrester, N. Witte, P. J. Forrester, 2003, math-ph/0304020.

Discriminants and Functional Equations for Polynomials Orthogonal on the Unit Circle

M. Ismail, N. Witte, 2000, J. Approx. Theory.

Painlevé Transcendent Evaluations of Finite System Density Matrices for 1d Impenetrable Bosons

P. Forrester, T. Garoni, N. E. Frankel, 2002, math-ph/0207005.

On the Variance of the Index for the Gaussian Unitary Ensemble

P. Forrester, N. Witte, 2011, 1110.0119.

Random matrix theory and the sixth Painlevé equation

P. Forrester, N. Witte, 2006, math/0610471.

Boundary conditions associated with the Painlevé III′ and V evaluations of some random matrix averages

P. Forrester, N. Witte, 2005, math/0512142.

Boundary conditions for scaled random matrix ensembles in the bulk of the spectrum

A. V. Kitaev, N. Witte, A. Kitaev, 2007, 0706.0359.

Gap Probabilities for Double Intervals in Hermitian Random Matrix Ensembles as τ-Functions – Spectrum Singularity Case

N. Witte, 2003, math-ph/0307063.

New Transformations for Painlev\'e's Third Transcendent

N. Witte, 2002, math/0210019.

τ-function evaluation of gap probabilities in orthogonal and symplectic matrix ensembles

P. Forrester, N. Witte, P. J. Forrester, 2002, math-ph/0203049.

Gap probabilities for double intervals in hermitian random matrix ensembles as τ-functions - the Bessel kernel case

N. Witte, 2001 .

Gap, probabilities for edge intervals in finite Gaussian and Jacobi unitary matrix ensembles

P. Forrester, N. Witte, C. Cosgrove, 2000, math-ph/0008032.

Exact Wigner Surmise Type Evaluation of the Spacing Distribution in the Bulk of the Scaled Random Matrix Ensembles

P. Forrester, N. Witte, 2000, math-ph/0009023.

Finite one-dimensional impenetrable Bose systems: Occupation numbers

P. Forrester, T. Garoni, N. E. Frankel, 2002, cond-mat/0211126.

Gap probabilities in the finite and scaled Cauchy random matrix ensembles

P. Forrester, N. Witte, P. J. Forrester, 2000, math-ph/0009022.

Application of the τ‐function theory of Painlevé equations to random matrices: PV, PIII, the LUE, JUE, and CUE

P. Forrester, N. Witte, 2002, math-ph/0201051.

The Analytic Lanczos Method

N. Witte, 1997, cond-mat/9712283.

Painlevé II in Random Matrix Theory and Related Fields

P. Forrester, N. Witte, 2014, Constructive Approximation.

Moment Formalisms applied to a solvable Model with a Quantum Phase Transition. I. Exponential Moment Methods

R. Shankar, N. Witte, 1999, cond-mat/9907314.

Electrical and magnetic phases of the layered perovskite Ca4−xLaxMn3O10

R. March, F. Lincoln, P. Goodman, 1998 .

Large $N$ expansions for the Laguerre and Jacobi $\beta$ ensembles from the loop equations

Anas A. Rahman, P. Forrester, N. Witte, 2017, 1707.04842.

van der Waals energies of cylindrical and spherical single layer systems

N. Witte, 1993 .

Connection preserving deformations and q-semi-classical orthogonal polynomials

P. Forrester, N. Witte, C. Ormerod, 2009, 0906.0640.

Biorthogonal Systems on the Unit Circle, Regular Semiclassical Weights, and the Discrete Garnier Equations

N. Witte, 2008, 0811.2605.

Isomonodromic deformation theory and the next-to-diagonal correlations of the anisotropic square lattice Ising model

N. Witte, 2007, 0705.0557.

Relativistic charged bosons in a magnetic field. I. Wave functions and matrix elements

K. C. Hines, N. Witte, R. L. Dawe, 1987 .

The Distribution of the first Eigenvalue Spacing at the Hard Edge of the Laguerre Unitary Ensemble

Peter J. Forrester, Nicholas S. Witte, P. Forrester, 2007, 0704.1926.

Painlevé II in Random Matrix Theory and Related Fields

P. Forrester, N. Witte, 2012, 1210.3381.

Hypergeometric Solutions to the q-Painlev\'e Equation of Type $(A_1+A_1')^{(1)}$

K. Kajiwara, N. Witte, T. Hamamoto, 2006, nlin/0607065.

Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles

P. J. Forrester, P. Forrester, F. Bornemann, 2012, 1209.2190.

The diagonal two-point correlations of the Ising model on the anisotropic triangular lattice and Garnier systems

N. Witte, 2015, 1504.07214.

Semiclassical orthogonal polynomial systems on nonuniform lattices, deformations of the Askey table, and analogues of isomonodromy

N. S. Witte, N. Witte, 2012, Nagoya Mathematical Journal.

On a Family of Integrals that extend the Askey-Wilson Integral

Masahiko Ito, N. Witte, M. Itō, 2014, 1405.3723.

Some results on the phase diagram of the 2D Hubbard model using an analytic Lanczos method

L. Hollenberg, C. Wellard, N. Witte, 1999 .

Exact Solution to the Moment Problem for the XY Chain

N. Witte, 1997, cond-mat/9701188.

Accurate calculation of ground-state energies in an analytic Lanczos expansion

L. Hollenberg, N. Witte, 1997 .

Leading corrections to the scaling function on the diagonal for the two-dimensional Ising model

P. Forrester, J. Perk, N. Witte, 2018, Journal of Statistical Mechanics: Theory and Experiment.

Singular Values of Products of Ginibre Random Matrices

P. Forrester, N. Witte, 2016, 1605.00704.

The exact realisation of the Lanczos Method for a quantum Many-Body System

N. Witte, 1997, cond-mat/9712284.

Lanczos cluster expansion for non-extensive systems

L. Hollenberg, D. Bardos, N. Witte, 1996 .

Bi-orthogonal systems on the unit circle, regular semi-classical weights and integrable systems - II

N. S. Witte, N. Witte, 2008, J. Approx. Theory.

Discrete Painlevé equations for a class of PVI τ-functions given as U(N) averages

P. Forrester, N. Witte, 2004, math-ph/0412065.

Physical combinatorics and quasiparticles

P. Pearce, G. Feverati, N. Witte, 2009, 0903.0510.

Quantum interpolating ensemble: Average entropies and orthogonal polynomials pdf

Lu Wei, Nicholas Witte, N. Witte, 2021, ArXiv.

Two-dimensional XXZ model ground-state properties using an analytic Lanczos expansion

S. O. Physics, Australia., L. Hollenberg, 1997, cond-mat/9702017.

General non-perturbative mass gap to first order in

L. Hollenberg, N. Witte, Matthew P. Wilson, 1995 .

First order in the plaquette expansion

L. Hollenberg, N. Witte, 1995 .

0 20 40 08 v 3 1 4 M ay 2 00 3 Application of the τ-function theory of Painlevé equations to random matrices : P VI , the JUE , CyUE , cJUE and scaled limits

P. Forrester, N. Witte, 2002 .

EXACT SOLUTION FOR THE REFLECTION AND DIFFRACTION OF ATOMIC DE BROGLIE WAVES BY A TRAVELLING EVANESCENT LASER WAVE

N. Witte, 1998 .

Polarization of the magnetized scalar and spinor vacua

N. Witte, 1990 .

Quantum Interpolating Ensemble: Bi-orthogonal Polynomials and Average Entropies

N. Witte, Lu Wei, 2021, Random Matrices. Theory and Applications.

Plaquette expansion proof and interpretation

L. Hollenberg, N. Witte, 1994 .

Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials

M. N. Rebocho, N. Witte, 2022, Nonlinearity.

Asymptotic forms for hard and soft edge general β conditional gap probabilities

P. Forrester, N. Witte, 2011, 1110.4284.

A pr 2 00 3 Discrete Painlevé equations and random matrix averages

P. Forrester, N. Witte, 2003 .

Integrability, random matrices and Painlevé transcendents

N. Witte, C. Cosgrove, P. J. Forrester, 2000, The ANZIAM Journal.

A ug 2 00 0 Integrability , Random Matrices and Painlevé

N. Witte, 2000 .

Ju l 2 00 6 Hypergeometric Solutions to the q-Painlevé Equation of Type ( A 1 + A ′ 1 ) ( 1 )

K. Kajiwara, N. Witte, Taro Hamamoto, 2008 .

An Infinite Product of the Incomplete Beta Function-type Hypergeometric Function and its Probabilistic Origins

N. Witte, 2023, 2306.10655.

Modulated Bi-orthogonal Polynomials on the Unit Circle: The $2j-k$ and $j-2k$ Systems

Nicholas S. Witte, Roozbeh Gharakhloo, N. Witte, 2021, 2106.15079.

Ju n 20 21 Modulated Bi-orthogonal Polynomials on the Unit Circle : The 2 9 − : and 9 − 2 : Systems

N. Witte, R. Gharakhloo, 2021 .

Application of the τ-Function Theory¶of Painlevé Equations to Random Matrices:¶PIV, PII and the GUE

P. J. Forrester, P. Forrester, N. S. Witte, 2001, math-ph/0103025.

Wigner surmise type evaluation of the spacing distribution in the bulk of the scaled random matrix ensembles

P. Forrester, N. Witte, 2000 .

0 30 80 36 v 1 2 8 A ug 2 00 3 Discrete Painlevé equations , Orthogonal Polynomials on the Unit Circle and N-recurrences for averages over U ( N ) – P VI τ-functions

P. Forrester, N. Witte, 2022 .