16 citations · 49 across the 8 of their papers we have counts for
9 papers
Tracy-Widom distributions for the Gaussian orthogonal and symplectic ensembles revisited: a skew-orthogonal polynomials approach
Anthony Mays, Anita Ponsaing, Gregory Schehr
We study the distribution of the largest eigenvalue in the "Pfaffian" classical ensembles of random matrix theory, namely in the Gaussian orthogonal (GOE) and Gaussian symplectic (…
Determinantal polynomial wave functions induced by random matrices
Anthony Mays, Anita K. Ponsaing, David M. Paganin
Random-matrix eigenvalues have a well-known interpretation as a gas of like-charge particles. We make use of this to introduce a model of vortex dynamics by defining a time-depende…
Finite-size corrections for universal boundary entropy in bond percolation
Jan de Gier, Jesper Lykke Jacobsen, Anita Ponsaing
We compute the boundary entropy for bond percolation on the square lattice in the presence of a boundary loop weight, and prove explicit and exact expressions on a strip and on a c…
An induced real quaternion spherical ensemble of random matrices
Anthony Mays, Anita Ponsaing
We study the induced spherical ensemble of non-Hermitian matrices with real quaternion entries (considering each quaternion as a complex matrix). We define the ensemble…
Type Brauer loop schemes and loop model with boundaries
Anita Ponsaing, Paul Zinn-Justin
In this paper we study the Brauer loop model on a strip and the associated quantum Knizhnik--Zamolodchikov (qKZ) equation. We show that the minimal degree solution of the Brauer qK…
Finite-size left-passage probability in percolation
Yacine Ikhlef, Anita Ponsaing
We obtain an exact finite-size expression for the probability that a percolation hull will touch the boundary, on a strip of finite width. Our calculation is based on the q-deforme…
Finite size lattice results for the two-boundary Temperley--Lieb loop model
Anita Kristine Ponsaing
This thesis is concerned with aspects of the integrable Temperley--Lieb loop (TL()) model on a vertically infinite lattice with two non-trivial boundaries. When the ground…
Separation of variables for symplectic characters
Jan de Gier, Anita Ponsaing
We perform separation of variables for the symplectic Weyl character using Sklyanin's scheme. Viewing the characters as eigenfunctions of a quantum integrable system, we explicitly…
Exact spin quantum Hall current between boundaries of a lattice strip
Jan de Gier, Bernard Nienhuis, Anita Ponsaing
Employing an inhomogeneous solvable lattice model, we derive an exact expression for a boundary-to-boundary edge current on a lattice of finite width. This current is an example of…