193 citations · 2.8k across the 159 of their papers we have counts for
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Reunion probability of N vicious walkers: typical and large fluctuations for large N
Gregory Schehr, Satya N. Majumdar, Alain Comtet +1
We consider three different models of N non-intersecting Brownian motions on a line segment [0,L] with absorbing (model A), periodic (model B) and reflecting (model C) boundary con…
Eigenvalue statistics of the real Ginibre ensemble
Peter J. Forrester, Taro Nagao
The real Ginibre ensemble consists of random matrices formed from i.i.d. standard Gaussian entries. By using the method of skew orthogonal polynomials, the general …
Analytic solutions of the 1D finite coupling delta function Bose gas
P. J. Forrester, N. E. Frankel, M. I. Makin
An intensive study for both the weak coupling and strong coupling limits of the ground state properties of this classic system is presented. Detailed results for specific values of…
Dynamical Correlations for Circular Ensembles of Random Matrices
Taro Nagao, Peter J. Forrester
Circular Brownian motion models of random matrices were introduced by Dyson and describe the parametric eigenparameter correlations of unitary random matrices. For symmetric unitar…
Fluctuation formula for complex random matrices
P. J. Forrester
A Gaussian fluctuation formula is proved for linear statistics of complex random matrices in the case that the statistic is rotationally invariant. For a general linear statistic w…